Journal articles on the topic 'D'Alembert model'
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Bozhkova, L. V., G. I. Noritsina, V. G. Ryabov, and T. V. Akulshina. "Mathematical model of dynamics of highly nonlinear guided mechanical system." Izvestiya MGTU MAMI 7, no. 3-1 (February 10, 2013): 30–39. http://dx.doi.org/10.17816/2074-0530-67976.
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The authors developed a mathematical model of the dynamics of highly nonlinear guided mechanical system on the example of an industrial robot of the “SKILAM” type taking into account dry friction in the kinematic pairs of the robot arms and the dynamic characteristics of the motors. The solution is based on the principles of d'Alembert and D'Alembert-Lagrange. At the same time an apparatus of homogeneous coordinate transformation matrices was used.
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Biasco, Luca, and Luigi Chierchia. "Exponential stability for the resonant D'Alembert model of celestial mechanics." Discrete & Continuous Dynamical Systems - A 12, no. 4 (2005): 569–94. http://dx.doi.org/10.3934/dcds.2005.12.569.
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Chen, Chao, Mei Han, and Yanhui Han. "A Numerical Model for Railroad Freight Car-to-Car End Impact." Discrete Dynamics in Nature and Society 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/927592.
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A numerical model based on Lagrange-D'Alembert principle is proposed for car-to-car end impact in this paper. In the numerical model, the friction forces are treated by using local linearization model when solving the differential equations. A computer program has been developed for the numerical model based on Runge-Kutta fourth-order method. The results are compared with the Multibody Dynamics/Kinematics software SIMPACK results and they are close. The ladings' relative displacement to struck car and the relative displacement between two ladings get larger as impact speed increases. There is no displacement between two ladings when the contact surfaces have the same friction coefficient.
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Song, Chao Sheng, Qi Ming Huang, Jie Xu, and Zhan Gao. "The Mechanism Analysis of Horizontal Vibrated Conveyor with Inclination." Applied Mechanics and Materials 215-216 (November 2012): 1093–97. http://dx.doi.org/10.4028/www.scientific.net/amm.215-216.1093.
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Considering the transition effect of static friction to dynamic friction, a two degree-of- freedoms vibration model of a new type of horizontal vibrated conveyor with inclination which can be used for continuous charging of electric arc furnace is formulated using d'Alembert principle. Based on the proposed vibration model, a program is wrote and the transmit mechanism is investigated. Computational results reveal numerous interesting conveying characteristics which can be used to forecast and control the vibration of the scrap and the conveyor.
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Lv, Mei Yu, Jin Quan Li, Bing Lei Duan, and Rong Fu. "The Dynamics Analysis on a Type Palletizing Robot." Applied Mechanics and Materials 157-158 (February 2012): 982–86. http://dx.doi.org/10.4028/www.scientific.net/amm.157-158.982.
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For a palletizing robot, based on analysis of structural and force,taking the theory of D'Alembert to transform the instantaneous inertial force system into a static system and the Kineto-static mathematical model for the robots is established through the method of Kineto-static. At last, via solving the Kineto-static mathematical model by use of the Matlab，the model is verified by calculating and analysing an example. This model is applicable to dynamic analysis on the robots with similar configuration and the results based on the parameter variation is also applicable to this kind of robot’s design, checking, and kinetic control.
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Ding, Zhi, Guo Bao Ge, Xin Jiang Wei, and Tao Zhang. "Numerical Analysis of Foundation Soil Displacement to Adjacent Buildings Caused by Running Subway." Advanced Materials Research 446-449 (January 2012): 2139–42. http://dx.doi.org/10.4028/www.scientific.net/amr.446-449.2139.
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The tunnel - subgrade - adjacent buildings interaction model was established by ANSYS to simulate the soil displacement by Running Subway to adjacent buildings. According to D'Alembert principle, we got the dynamic load produced by train acceleration. Multi-point load was applied to simulate the movement of train. Based on ANSYS simulation results, the surrounding soil displacement of the tunnel was analyzed when in different train speed. On the other hand, the soil displacement in different depths is analyzed when in the same train speed.
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Chung, J. H., and S. A. Velinsky. "Modeling and control of a mobile manipulator." Robotica 16, no. 6 (November 1998): 607–13. http://dx.doi.org/10.1017/s0263574798000873.
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This paper concerns the modeling and control of a mobile manipulator which consists of a robotic arm mounted upon a mobile platform. The equations of motion are derived using the Lagrange-d'Alembert formulation for the nonholonomic model of the mobile manipulator. The dynamic model which considers slip of the platform's tires is developed using the Newton-Euler method and incorporates Dugoff's tire friction model. Then, the tracking problem is investigated by using a well known nonlinear control method for the nonholonomic model. The adverse effect of the wheel slip on the tracking of commanded motion is discussed in the simulation. For the dynamic model, a variable structure control approach is employed to minimize the harmful effect of the wheel slip on the tracking performance. The simulation results demonstrate the effectiveness of the proposed control algorithm.
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Liu, Xiaokun, Guanglie Yang, Chaoming Mo, Minglang Tan, Dongqing Gu, Bin Song, and Shufan Wu. "Dynamic Analysis of the influence of the Rotor Centroid Offset of Gyrowheel." Journal of Physics: Conference Series 2209, no. 1 (February 1, 2022): 012025. http://dx.doi.org/10.1088/1742-6596/2209/1/012025.
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Abstract Gyrowheel is a new electromechanical servo device which can realize the integration of spacecraft attitude control and attitude measurement. Due to the existence of machining and assembly errors, there must be a deviation between the rotor centroid of the gyrowheel and the support center, that is, the centroid offset. Firstly, to solve this problem, the dynamic modeling of rotor center of mass offset is carried out from the perspective of vector mechanics by using D'Alembert principle. Secondly, the established dynamic model is simplified, and the influence of rotor center of mass offset on the micro vibration of gyrowheel is analyzed. Finally, the correctness of this method is verified by simulation.
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Chen, Chun-Ta, and Te-Tan Liao. "Optimal Path Programming of the Stewart Platform Manipulator Using the Boltzmann–Hamel–d'Alembert Dynamics Formulation Model." Advanced Robotics 22, no. 6-7 (January 2008): 705–30. http://dx.doi.org/10.1163/156855308x305281.
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Bhatt, Maulik, Amit K. Sanyal, and Srikant Sukumar. "Asymptotically stable optimal multi-rate rigid body attitude estimation based on lagrange-d'alembert principle." Journal of Geometric Mechanics 15, no. 1 (2023): 73–97. http://dx.doi.org/10.3934/jgm.2023004.
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<abstract><p>The rigid body attitude estimation problem is treated using the discrete-time Lagrange-d'Alembert principle. Three different possibilities are considered for the multi-rate relation between angular velocity measurements and direction vector measurements for attitude: 1) integer relation between sampling rates, 2) time-varying sampling rates, 3) non-integer relation between sampling rates. In all cases, it is assumed that angular velocity measurements are sampled at a higher rate compared to the inertial vectors. The attitude determination problem from two or more vector measurements in the body-fixed frame is formulated as Wahba's problem. At instants when direction vector measurements are absent, a discrete-time model for attitude kinematics is used to propagate past measurements. A discrete-time Lagrangian is constructed as the difference between a kinetic energy-like term that is quadratic in the angular velocity estimation error and an artificial potential energy-like term obtained from Wahba's cost function. An additional dissipation term is introduced and the discrete-time Lagrange-d'Alembert principle is applied to the Lagrangian with this dissipation to obtain an optimal filtering scheme. A discrete-time Lyapunov analysis is carried out to show that the optimal filtering scheme is asymptotically stable in the absence of measurement noise and the domain of convergence is almost global. For a realistic evaluation of the scheme, numerical experiments are conducted with inputs corrupted by bounded measurement noise. These numerical simulations exhibit convergence of the estimated states to a bounded neighborhood of the actual states.</p></abstract>
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Grigorev, Igor, Albert Burgonutdinov, Valentin Makuev, Evgeniy Tikhonov, Viktoria Shvetsova, Oksana Timokhova, Sergey Revyako, and Natalia Dmitrieva. "The theoretical modeling of the dynamic compaction process of forest soil." Mathematical Biosciences and Engineering 19, no. 3 (2022): 2935–49. http://dx.doi.org/10.3934/mbe.2022135.
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<abstract> <p>Due to the growing demand for timber, forest soils are increasingly exposed to mechanical disturbances, caused by forestry equipment. Even though using skidding machines to transport wood is detrimental to the physical state of the soil, this method remains the most common. Hence, there is a need to model the impact of skidding systems on the upper (fertile) layer of the soil. This study aims to develop such a model using the D'Alembert principle, the method of Laplace transforms, and a modified Kelvin-Voigt model. The work shows that subdividing the tractor-bundle-soil system makes it possible to consider the dynamic effect of the vibrating tractor on the soil and soil's ability to undergo deformation separately. In addition, the study developed individual models for the first subsystem that determine vibration effects on soil caused by an unloaded tractor and two loaded skidding systems using different methods of semi-suspended skidding. The present findings can be used to predict the degree of dynamic soil compaction without conducting direct on-site experiments and thus minimize the negative impact of forestry operations on the local ecosystem. The current data also allow simplifying design models for complex forwarders.</p> </abstract>
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LOZINSKI, ALEXEI, and MICHEL V. ROMERIO. "MOTION OF GAS BUBBLES, CONSIDERED AS MASSLESS BODIES, AFFORDING DEFORMATIONS WITHIN A PRESCRIBED FAMILY OF SHAPES, IN AN INCOMPRESSIBLE FLUID UNDER THE ACTION OF GRAVITATION AND SURFACE TENSION." Mathematical Models and Methods in Applied Sciences 17, no. 09 (September 2007): 1445–78. http://dx.doi.org/10.1142/s0218202507002340.
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A model allowing to describe motion and coalescence of gas bubbles in a liquid under the action of gravitation and surface tension is proposed. The shape of the bubbles is described by a pre-defined family of mappings, for example ellipsoids with a fixed volume and the effects of the gas motions inside the bubbles are neglected. The motion of a bubble is obtained in a Lagrangian form using the D'Alembert principle of virtual works. The set of equations is numerically solved with the help of the fictitious domain technique in which the Navier–Stokes equations in the domain formed by both fluid and gas are considered. The equations governing the bubbles motion are imposed by introducing Lagrange multipliers on the bubbles boundaries. Numerical results in 2D and 3D are presented.
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Ding, Nan Hong, Li Xia Lin, and Wei Hua Liao. "Vibration of Double Cable Suspension Bridge under Vehicle Load." Applied Mechanics and Materials 50-51 (February 2011): 328–32. http://dx.doi.org/10.4028/www.scientific.net/amm.50-51.328.
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A single moving mass-spring-damper model is adopted to simulate the vehicle model. The equation of vehicle-bridge coupling vibration is derived, using D'Alembert principle and the conditions of displacement compatibility. The dynamic responses of a double cable suspension bridge to the vehicle moving at different speeds are analyzed, considering the geometric nonlinearity and the bridge carriageway irregularity factor, under two types of vehicle loading conditions, namely moving along the center and the eccentric longitudinal axis. Then the influence of vehicle velocity and bridge carriageway irregularity on impact coefficient of double cable suspension bridge is discussed. Single cable suspension bridge can be taken as a special case of double cable suspension bridge, after the main cable shape coefficient is introduced. The dynamic responses of double cable suspension bridge and single cable suspension bridge are compared to reveal the character of vehicle vibration of double cable suspension bridge. The study of the dynamic responses character of double cable suspension bridge has a positive significance on structural form selection of such type bridge during designing, dynamic performance evaluation and vibration control.
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Korendiy, Vitaliy. "Generalized design diagram and mathematical model of suspension system of vibration-driven robot." Ukrainian Journal of Mechanical Engineering and Materials Science 7, no. 3-4 (2021): 1–10. http://dx.doi.org/10.23939/ujmems2021.03-04.001.
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Problem statement. Mobile robotic systems are widely used in various fields of industry and social life: from small household appliances to large-size road-building machinery. Specific attention of scientists and designers is paid to the vibration-driven locomotion systems able to move in the environments where the use of classical wheeled and caterpillar robots is impossible or inefficient. Purpose. The main objective of this paper consists in generalizing the actual research results dedicated to various design diagrams and mathematical models of suspension systems of mobile vibration-driven robots. Methodology. The differential equations describing the robot motion are derived using the Lagrange-d'Alembert principle. The numerical modeling is carried out in the Mathematica software by solving the derived system of differential equations with the help of the Runge-Kutta methods. The verification of the obtained results is performed by computer simulation of the robot motion in the SolidWorks and MapleSim software. Findings (results). The time dependencies of the basic kinematic parameters (displacement, velocity, acceleration) of the robot’s vibratory system are analyzed. The possibilities of maximizing the robot translational velocity are considered. Originality (novelty). The paper generalizes the existent designs and mathematical models of the mobile vibration-driven robots’ suspensions and studies the combined four-spring locomotion system moving along a rough horizontal surface. Practical value. The obtained results can be effectively used by researchers and designers of vibration-driven locomotion systems while improving the existent designs and developing the new ones. Scopes of further investigations. While carrying out further investigations on the subject of the paper, it is necessary to solve the problem of optimizing the robot’s oscillatory system parameters in order to maximize its translational velocity.
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Rajagopal, K. R., and A. R. Srinivasa. "On the nature of constraints for continua undergoing dissipative processes." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2061 (July 28, 2005): 2785–95. http://dx.doi.org/10.1098/rspa.2004.1385.
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When dealing with mechanical constraints, it is usual in continuum mechanics to enforce ideas that stem from the seminal work of Bernoulli and D'Alembert and require that internal constraints do no work. The usual procedure is to split the stress into a constraint response and a constitutively determined response that does not depend upon the variables that appear in the constraint response (i.e. the Lagrange multiplier), and further requiring that the constraint response does no work. While this is adequate for hyperelastic materials, it is too restrictive in the sense that it does not permit a large class of useful models such as incompressible fluids whose viscosity depends upon the pressure—a model that is widely used in elastohydrodynamics. The purpose of this short paper is to develop a purely mechanical theory of continua with an internal constraint that does not appeal to the requirement of worklessness. We exploit a geometrical idea of normality of the constraint response to a surface (defined by the equation of constraint) in a six-dimensional Euclidean space to obtain (i) a unique decomposition of the stress into a determinate and a constraint part such that their inner product is zero, (ii) a completely general constraint response—even constraint equations that are nonlinear in the symmetric part of the velocity gradient D as well as when the coefficients in the determinate part depend upon the constraint response and (iii) a second order partial differential equation for the determination of the constraint response. The geometric approach presented here is in keeping with the ideas of Gauss concerning constraints in classical particle mechanics.
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Sokil, B. I., P. Ya Pukach, A. P. Senyk, M. B. Sokil, A. I. Andrukhiv, and M. I. Vovk. "Asymptotic method and wave theory of motion in studying the effect of periodic impulse forces on systems characterized by longitudinal motion velocity." Mathematical Modeling and Computing 9, no. 4 (2022): 909–20. http://dx.doi.org/10.23939/mmc2022.04.909.
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A methodology for researching dynamic processes of one-dimensional systems with distributed parameters that are characterized by longitudinal component of motion velocity and are under the effect of periodic impulse forces has been developed. The boundary problem for the generalized non-linear differential Klein–Gordon equation is the mathematical model of dynamics of the systems under study in Euler variables. Its specific feature is that the unexcited analogue does not allow applying the known classical Fourier and D'Alembert methods for building a solution. Non-regularity of the right part for the excited non-linear analogue is another problem. This study shows that the dynamic process of the respective unexcited motion can be treated as overlapping of the direct and reflected waves of different lengths but equal frequencies. Analytical dependencies have been obtained for describing the aforesaid parameters of the waves. They show that the dynamic process in such mechanical systems depends not only on their main physical and mechanical parameters and boundary conditions, but also on the longitudinal motion velocity (relative momentum). As relative momentum increases, the frequency of the process decreases. To describe excited motion, we use the principle of single frequency of oscillations in non-linear systems with concentrated masses and distributed parameters as well as regularization of periodic impulse excitations. The main idea of asymptotic integration of systems with small non-linearity into the class of dynamic systems under study has been generalized. A standard equation for the resonance and non-resonance cases has been obtained. It has been established that for the first approximation, in the non-resonance case, impulse excitation affects only the partial change of the form of oscillations. Resonance processes are possible at a specific relation between the impulse excitation period, the motion velocity of the medium, and physical-mechanical features of the body. The amplitude of transition through resonance becomes higher when impulse actions are applied closer to the middle of the body. As the longitudinal motion velocity increases, it initially increases and then decreases.
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Schmidt, H. J. "Models for Constrained Motion and d'Alembert's Principle." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 73, no. 3 (1993): 155–63. http://dx.doi.org/10.1002/zamm.19930730306.
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SUZUKI, MASAYASU, and NOBORU SAKAMOTO. "CONTROLLING IDEAL TURBULENCE IN TIME-DELAYED CHUA'S CIRCUIT: STABILIZATION AND SYNCHRONIZATION." International Journal of Bifurcation and Chaos 20, no. 05 (May 2010): 1351–63. http://dx.doi.org/10.1142/s0218127410026526.
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We try to stabilize steady solutions of a physical model described by wave equations with nonlinear boundary conditions. This system is a distributed parameter system in which ideal turbulence, introduced by Sharkovsky et al., occurs. Although the behavior of the system is quite intricate both in time and space, by using d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to that of a finite-dimensional difference equation. In this report, based on this analytical method using d'Alembert's solution, we design control laws to stabilize steady solutions (equilibrium solutions and periodic solutions) and synchronize a pair of identical systems.
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Владецкая, Е. А., С. М. Братан, А. О. Харченко, and Е. В. Хекерт. "Dynamics of vibration effects on a grinding machine in a floating workshop, taking into account sea waves." MORSKIE INTELLEKTUAL`NYE TEHNOLOGII)</msg>, no. 3(57) (August 7, 2022): 84–93. http://dx.doi.org/10.37220/mit.2022.57.3.011.
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В статье приведены результаты анализа и теоретических исследований динамики вибрационных воздействий на шлифовальный станок с учетом изменяющихся внешних факторов в условиях плавучей мастерской. Для обеспечения заданных параметров качества поверхностей при шлифовании на оборудовании плавучей мастерской на основе полученных динамических моделей и оценок разработана автоматическая система стабилизации параметров технологической системы с учетом воздействий внешней среды, в частности, волнений водной поверхности. Для процесса шлифования на основе принципа Даламбера–Лагранжа построено математическое описание, характеризующее динамику перемещений центров масс инструмента и заготовки с учетом изменения фактической глубины резания, в виде системы дифференциальных уравнений. Для моделирования процесса экспериментально определены коэффициенты жесткости и демпфирования. Для оценки фактической глубины резания разработана расширенная модель объекта с построением формирующего фильтра – динамического звена, моделирующего динамику вибрационных воздействий на станок от внешней среды через основание плавучей мастерской. Полученные векторно-матричные уравнения представляют стандартную форму описания динамической системы в терминах теории пространства состояний, что позволяет её использовать для исследования характеристик и поведения процесса, а также для синтеза систем управления этим процессом. Примеры численных характеристик работы фильтра и их анализ показывают, что через 0,4 секунды наблюдатель переходит в установившийся режим с готовностью к практическому использованию. Построенный формирующий фильтр характеризует динамику отклонений шлифовального круга и обрабатываемой заготовки при внешних воздействиях, что позволит существенно повысить качество изготовления деталей в условиях плавучей мастерской. The article presents the results of analysis and theoretical studies of the dynamics of vibration effects on a grinding machine, taking into account changing external factors in a floating workshop. To ensure the specified parameters of the quality of surfaces when grinding on the equipment of a floating workshop, on the basis of the obtained dynamic models and estimates, an automatic system for stabilizing the parameters of the technological system has been developed, taking into account the effects of the external environment, in particular, the waves of the water surface. For the grinding process on the basis of the d'Alembert – Lagrange principle, a mathematical description is built that characterizes the dynamics of displacements of the centers of mass of the tool and workpiece, taking into account the change in the actual cutting depth, in the form of a system of differential equations. To simulate the process, the stiffness and damping coefficients are experimentally determined. To assess the actual cutting depth, an extended model of the object has been developed with the construction of a shaping filter - a dynamic link that simulates the dynamics of vibration effects on the machine from the external environment through the base of the floating workshop. The resulting vector-matrix equations represent the standard form of describing a dynamical system in terms of state space theory, which allows it to be used to study the characteristics and behavior of a process, as well as to synthesize control systems for this process. Examples of the numerical characteristics of the filter operation and their analysis show that in 0.4 seconds the observer goes into a steady state with readiness for practical use. The constructed shaping filter characterizes the dynamics of deviations of the grinding wheel and the workpiece being processed under external influences, which will significantly improve the quality of parts manufacturing in a floating workshop.
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Li, Jin Quan, Su Xia Zhu, and Quan Sheng Lei. "The Dynamics Analysis on a Type Palletizing Robot." Advanced Materials Research 479-481 (February 2012): 725–28. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.725.
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Based on a palletizing robot, its kineto-static model is created via d'alembert's principle and dynamic statics method. The force of key components with its posture change will be obtained by use of the Matlab. This model is applicable to dynamic analysis on the robots with similar configuration and the results based on the parameter variation is also applicable to this kind of robot’s design, checking and kinetic control.
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Pashkov, E. N., Nikita Martyushev, and Pavel G. Yurovsky. "Stationary Rotation of the Partially Liquid-Filled Unbalanced Rotor under External Friction Force Action." Advanced Materials Research 1040 (September 2014): 903–6. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.903.
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Rotor rotation with liquid layer on the chamber wall under viscoelastic action of the shaft within a planar model is examined in the article. The solution to the problem of determining the deflection of a rotating shaft with liquid filled chamber is given, which is important when designing an automatic balancing device. The issue of the cooperative motion of a solid body and liquid is considered in mathematical research. The set task is performed by applying D'Alembert's principle. The modeling results indicate that an increase in liquid’s mass in a rotor decreases its critical rotation speed; at the same time, the external friction accelerates the system’s self-centering. The developed mathematical models enable us to select the design parameters of a liquid-type autobalancer which operates within the set range of rotor’s angular velocity.
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Evseev, Dmitriy, Yuriy Sarychev, and Sergey Bespal'ko. "MATHEMATICAL MODEL OF THE CAR SHOCK ABSORBER BASED ON VISCOUS FRICTION." Transport engineering 2022, no. 01-02 (February 21, 2022): 89–95. http://dx.doi.org/10.30987/2782-5957-2022-01-02-89-95.
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The work objective is to develop a mathematical model of the force characteristics of shock absorbers based on viscous friction, including elastomeric ones. For this purpose, the following tasks are solved in the work: the existing approaches to the mathematical modelling of hydraulic shock absorbers are analysed, a mathematical model based on hydraulic equations (the Darcy–Weisbach equation) is proposed, the developed mathematical model is verified and the results are compared with the results obtained based on the existing approach.
Research methods: the equation of fluid flow through holes with hydraulic friction; D'Alembert's principle for composing the equation of car swaying motions; the Euler method for numerical integration of the differential equation.
The novelty of the work consists in the fact that a mathematical model of the power characteristics of shock absorbers with viscous friction is proposed, based on the quadratic dependence of the reaction on the deformation rate.
The results are the study of car swaying motions based on the traditional and proposed approaches. The proposed mathematical models can be used to develop shock absorbers with improved characteristics when designing passenger cars.
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Zhang, Man, and Ji-Xian Dong. "Transverse Vibration Analysis of Axially Moving Trapezoidal Plates." Journal of Nanoelectronics and Optoelectronics 16, no. 6 (June 1, 2021): 978–86. http://dx.doi.org/10.1166/jno.2021.3049.
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Transverse vibration of axially moving trapezoidal plates is investigated. The differential equation of transverse vibration for a axially moving trapezoidal plate is established by D'Alembert principle. The original trapezoid region can be replaced by regular square region by the medium parameter method for the convenience of calculation. A generalized complex eigenvalue equation is derived by a discrete method (the differential quadrature method). The complex frequency curve of trapezoidal plate is obtained by calculating the eigenvalue equation. The change of the complex frequencies of the axially moving trapezoidal plates with the dimensionless axially moving speed is analyzed. The effects of the aspect ratio and the trapezoidal angle on instability type of the trapezoidal plate are discussed under different boundary conditions. The results of numerical analysis show that there are two main instability types of axially moving trapezoidal plate: divergence and flutter. The modal orders of the two types of instability are also different, which is related to the trapezoidal angle, aspect ratio and boundary condition of the trapezoidal plate.
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Boianovsky, Mauro, and Vincent J. Tarascio. "Mechanical Inertia and Economic Dynamics: Pareto on Business Cycles." Journal of the History of Economic Thought 20, no. 1 (March 1998): 5–23. http://dx.doi.org/10.1017/s1053837200001565.
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In the second volume of his Cours, published a hundred years ago, Vilfredo Pareto (1897, section 928) put forward what was probably the first mathematical model of the business cycle. Apart from Knut Wicksell's (1899) review of Pareto's book and Jess Benhabib's (1979) short article (partly based on Wicksell's comments), Pareto's model has gone unnoticed. According to the view advanced by Pareto in the 1890s, concepts from physics are essential, not only in the realm of static equilibrium, but also in the investigation of economic dynamics. The model follows a new presentation by Pareto of his equations of general equilibrium, where he attempted to take into account the influence of “inertia” (habit) by applying d'Alembert's principle of mechanics. He concludes that the solution to the consumption equations has a cyclical pattern and uses that to explain business cycles as oscillations in aggregate production driven by changes in consumption.
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Martín-Ruiz, A., and L. F. Urrutia. "Gravitational waves propagation in nondynamical Chern–Simons gravity." International Journal of Modern Physics D 26, no. 13 (October 22, 2017): 1750148. http://dx.doi.org/10.1142/s0218271817501486.
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We investigate the propagation of gravitational waves in linearized Chern–Simons (CS) modified gravity by considering two nondynamical models for the coupling field [Formula: see text]: (i) a domain wall and (ii) a surface layer of [Formula: see text], motivated by their relevance in condensed matter physics. We demonstrate that the metric and its first derivative become discontinuous for a domain wall of [Formula: see text], and we determine the boundary conditions by realizing that the additional contribution to the wave equation corresponds to one of the self-adjoint extensions of the D'Alembert operator. Nevertheless, such discontinuous metric satisfies the area matching conditions introduced by Barrett. On the other hand, the propagation through a surface layer of [Formula: see text] behaves similarly to the propagation of electromagnetic waves in CS extended electrodynamics. In both cases, we calculate the corresponding reflection and transmission amplitudes. As a consequence of the distributional character of the additional terms in the equations that describe wave propagation, the results obtained for the domain wall are not reproduced when the thickness of the surface layer goes to zero, as one could naively expect.
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Malmuth, N. D. "An asymptotic theory of wind-tunnel-wall interference on subsonic slender bodies." Journal of Fluid Mechanics 177 (April 1987): 19–35. http://dx.doi.org/10.1017/s0022112087000831.
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An asymptotic theory of solid cylindrical wind-tunnel-wall interference about subsonic slender bodies has been developed. The basic approximation used is one of large wall-radius to body-length ratio. Matched asymptotic expansions show that in contrast to the analogous two-dimensional problem of a confined airfoil, three regions exist. Besides the incompressible crossflow and nearly axisymmetric zones, a wall layer exists where reflection in the wall of the line source representing the body becomes of dominant importance. From the theory, the interference pressures are shown to be approximately constant for closed bodies. Also demonstrated is that D'Alembert's paradox holds for interference drag of such shapes. Numerical studies comparing the exact theory to the asymptotic model which provides drastic simplifications, show that the latter can be used with reasonable accuracy to describe flows, even where the characteristic tunnel-radius to body-length ratio is as low as 1.5.
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SHEN, ZHENXING, and GENGKAI HU. "THERMALLY INDUCED VIBRATIONS OF SOLAR PANEL AND THEIR COUPLING WITH SATELLITE." International Journal of Applied Mechanics 05, no. 03 (September 2013): 1350031. http://dx.doi.org/10.1142/s1758825113500312.
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A coupled thermal-structural model of a laminated composite plate is proposed by using the absolute nodal coordinate formulation, the transverse shear and normal deformations through element thickness are included. The dynamic equations of structure are established by applying the d'Alembert's principle and then solved numerically to determine dynamic responses and transient heat conduction in the structure due to the nonlinear elastic force and thermal radiation. A cantilevered flexible solar panel subjected suddenly to a solar radiation is examined, it is found that by considering the coupling between the thermal and structural responses, thermal flutter of the composite panel can be well predicted. The coupled behavior of the composite solar panel with a satellite is also analyzed by idealizing it as a rigid-flexible multibody system in the low earth orbit, in which a natural coordinate formulation is established to analyze the attitude of the satellite rigid hub, the thermal snap phenomenon is also well predicted.
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Giunta, Gaetano, Yao Koutsawa, and Salim Belouettar. "Analysis of Three-Dimensional Piezo-Electric Beams via a Unified Formulation." Advanced Materials Research 745 (August 2013): 101–18. http://dx.doi.org/10.4028/www.scientific.net/amr.745.101.
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A Unified Formulation for deriving several higher-order theories and related finite elements for beams is presented within this paper.Three-dimensional structures with piezo-electric layers are considered.Static and free vibration analyses are carried out.Models' main unknowns are the displacements and the electric potential.They are approximated above the beam cross-section via Lagrange's polynomials in a layer-wise sense.Finite elements stiffness and mass matrices are derived in a nucleal form using d'Alembert's Principle.This nucleal form is representative of the generic term in the approximating expansion of the displacements and electric potential over the cross-section.It is, therefore, invariant versus the theory expansion order and the element nodes' number.In such a manner, higher-order displacements-based theories that account for non-classical effectssuch as transverse shear deformations and cross-section in- and out-of-plane warping are straightforwardly formulated.Results are given in terms of displacements, electrical potential and stresses.Comparison with three-dimensional finite elements models are provided, showing thataccurate results can be obtained with reduced computational costs.
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Бондаренко, Юлия, Yuliya Bondarenko, Сергей Ханин, Sergey Hanin, Ольга Бестужева, and Olga Bestuzheva. "MATHEMATICAL DESCRIPTION OF STRESS-STRAIN CONDITION OF BALL MILL’S PIN UNDER THE FORCE OF GRAVITY AND ROTATION." Bulletin of Belgorod State Technological University named after. V. G. Shukhov 4, no. 3 (April 10, 2019): 128–33. http://dx.doi.org/10.34031/article_5ca1f6356f67c4.15287599.
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The article discusses the pin of a ball mill under the action of constant loads of the body with grinding material, the simultaneous action of gravity and rotation due to the moment of external forces. During the operation of a ball mill, a dangerous section of the bottoms is the place where the cylindrical part of the trunnion becomes conical. The stress-strain condition of the ball mill’ pin is estimated on the basis of a mathematical model that includes a complete system of equilibrium equations, defining ratios of elastoplastic deformation. It takes into account the effects of cyclic loading of the material, with the corresponding initial and boundary conditions. The dynamic load that occurs during rotation is taken into account, according to the D'Alembert's principle, which means inertia forces are added to all acting external forces. The bend equation of pin's axle is obtained; it considers the action of inertia forces. The dependences of the deflection, deflection curvature and stress on the longitudinal coordinate under the action of gravity and rotation on the pin’s axle are obtained. The value of the shear stress from the action of torque is determined. The general expression of equivalent stress is examined. It includes the complex stress-strain condition of the ball mill’s pin, which experiences tensile stress from bending loads and shear stress of torque.
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Evseev, Dmitriy, Yuriy Sarychev, and Sergey Bespal'ko. "STUDY OF VIBRATIONS OF A PASSENGER CAR EQUIPPED WITH ELASTOMERIC DAMPERS." Transport engineering 2022, no. 6 (June 9, 2022): 30–41. http://dx.doi.org/10.30987/2782-5957-2022-6-30-41.
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The study objective is to develop and analyze mathematical models of vibrations of a passenger car with elastomeric dampers. The problem to which the paper is devoted is to improve the dynamic characteristics of the undercarriage of passenger cars and increase passenger comfort. The research methods used in this study are typical for solving the problems of rolling stock dynamics. The car is approximated by a system of concentrated masses connected by elastic and dissipative bonds. The external impact is track irregularities of different types. Differential equations of motion are combined using D'Alembert's principle. The set of equations is integrated by numerical method. The novelty of the work is, firstly, in the use of an elastomeric vibration dampener on the bogie of a passenger car, secondly, in the analysis of the dynamic qualities of this car when moving over the irregularities of the main types, and thirdly, in the choice of rational parameters of elastomeric dampers. The results of the study are graphs, nomograms and tables of the dependencies of maximum force values on various parameters, as well as an assessment of the movement smoothness. The conclusions of the work contain an assessment of the dependence of dynamic parameters on speed, recommendations on the characteristics of elastomeric dampers, the validity of using elastomeric dampers.
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SIMON, JONATHAN. "Retrospectives: History of science in France." British Journal for the History of Science 52, no. 4 (November 27, 2019): 689–95. http://dx.doi.org/10.1017/s0007087419000645.
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Although maybe not the most fashionable area of study today, French science has a secure place in the classical canon of the history of science. Like the Scientific Revolution and Italian science at the beginning of the seventeenth century, French science, particularly eighteenth-century and early nineteenth-century French science, remains a safe, albeit conservative, bet in terms of history-of-science teaching and research. The classic trope of the passage of the flame of European science from Italy to Britain and France in the seventeenth and then eighteenth centuries is well established in overviews of the field. Specializing in research in this area is not, therefore, unreasonable as a career choice if you are aiming for a history-of-science position in Europe or even in the US. The Académie (royale) des sciences, with its state-sponsored model of collective research, provides a striking counterpoint to the amateur, more individualistic functioning of London's Royal Society – a foretaste of modernity in the institutionalization of science. Clearly naive, such a representation of French science serves as a good initial framework on which to hang half a century of critical historical research. If proof of the continued interest for eighteenth-century French science is needed, we can cite the Web-based project around Diderot and d'Alembert's Encyclopédie currently in progress under the auspices of the French Academy of Sciences. The large number of publications in the history of French science (in English as well as French) make it unreasonable to pick out one or two for special attention here. But what about history of science in France and the academic community that practises this discipline today? Here, I offer a very personal view and analysis of this community, trying to underline contrasts with the history of science in the UK and the US.
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Bondarenko, I. R., A. A. Voloshkin, V. S. Perevuznik, and L. A. Kovalev. "Calculation of the force and kinematic parameters of the transfer mechanism based on a twisted arm chain." Advanced Engineering Research 22, no. 2 (July 9, 2022): 91–98. http://dx.doi.org/10.23947/2687-1653-2022-22-2-91-98.
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Introduction. The paper presents a brief kinematic analysis, as well as the application of D'Alembert's principle to finding the relationship between the force parameters in the transmission mechanism of a robotic manipulator constructed from a twisted arm chain. The use of this transfer mechanism can enhance the life of the arm actuator, the accuracy of its positioning, and increase the workload compared to the flexible linkage actuators (twisted strings). The work aimed at obtaining dependences between the displacements of circuit elements, as well as their force parameters required to monitor the control system operation of these devices.Materials and Methods. In the course of solving the problem, an elementary segment (element) of the transmission chain was considered. To find the relationship between the loads in the element, the virtual displacement principle was used. When finding kinematic connections between displacements, a brief geometric analysis of the transmission chain element was carried out. To conduct a comparative analysis of the analytical dependences obtained, a simulation technique implemented on a graphical link model using the NX software package was applied.Results. In the course of the study, we obtained dependences for determining the magnitude of the moment developed on the input link, depending on the external workload and its rotation angle, as well as for defining the linear displacement of the output link. A simulation model of the actuator was constructed, which can be applied in the dynamic study of the actuator mechanism, taking into account the inertia of the links.Discussion and Conclusions. From the obtained analytical dependences, we determined the value of the angle of rotation of the input link of the mechanism element, at which the maximum torque value for a fixed workload on the output element was achieved, as well as the maximum linear displacement of the output link. The calculated values were in good agreement with similar values obtained from the results of the simulation experiment, which gave us the possibility of using analytical dependences in the formation of a robot control system. In addition, these dependences made it possible to provide the selection of actuators with the required force indicators.
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"Interaction of acoustic waves with moving boundary surfaces." Vestnik Mashinostroeniya, May 2021, 59–60. http://dx.doi.org/10.36652/0042-4633-2021-5-58-60.
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A quasi-static approximation is considered for the interaction of a probing ultrasonic beam with a vibrating boundary surface. The model is considered in the form of a boundary value problem, presented in the form of d'Alembert. The method of successive approximations was used for the solution. The error arising from this interaction is established. Keywords: quasi-static approximation, boundary value problem, d'Alembert form, Doppler effect, rheological medium. gord349@mail.ru; oxulkovs@mail.ru
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Tashakori, Shabnam, Gholamreza Vossoughi, Hassan Zohoor, and Ehsan Azadi Yazdi. "Modification of the Infinite-Dimensional Neutral-Type Time-Delay Dynamic Model for the Coupled Axial–Torsional Vibrations in Drill Strings With a Drag Bit." Journal of Computational and Nonlinear Dynamics 15, no. 8 (June 23, 2020). http://dx.doi.org/10.1115/1.4043147.
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Abstract Drill strings are subjected to complex coupled dynamics. Therefore, accurate dynamic modeling, which can represent the physical behavior of real drill strings, is of great importance for system analysis and control. The most widely used dynamic models for such systems are the lumped element models, which neglect the system distributed feature. In this paper, a dynamic model called neutral-type time delay model is modified to investigate the coupled axial–torsional vibrations in drill strings. This model is derived directly from the distributed parameter model by employing the d'Alembert method. Coupling of axial and torsional vibration modes occurs in the bit–rock interface. For the first time, the neutral-type time delay model is combined with a bit–rock interaction model that regards cutting process in addition to frictional contact. Moreover, mistakes made in some of the related previous studies are corrected. The resulting equations of motion are in terms of neutral-type delay differential equations with two constant delays, related to the oscillatory behavior of the system, and a state-dependent delay, induced by the bit–rock interaction. Illustrative simulation results are presented for a representative drill string, which demonstrates intense axial and torsional vibrations that may lead to system failure without a controller.
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Wu, K., and W. D. Zhu. "Parametric Instability in a Taut String With a Periodically Moving Boundary." Journal of Applied Mechanics 81, no. 6 (January 30, 2014). http://dx.doi.org/10.1115/1.4026181.
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Parametric instability in a taut string with a periodically moving boundary, which is governed by a one-dimensional wave equation with a periodically varying domain, is investigated. Parametric instability usually occurs when coefficients in governing differential equations of a system periodically vary, and the system is said to be parametrically excited. Since the governing partial differential equation of the string with a periodically moving boundary can be transformed to one with a fixed domain and periodically varying coefficients, the string is parametrically excited and instability caused by the periodically moving boundary is classified as parametric instability. The free linear vibration of a taut string with a constant tension, a fixed boundary, and a periodically moving boundary is studied first. The exact response of the linear model is obtained using the wave or d'Alembert solution. The parametric instability in the string features a bounded displacement and an unbounded vibratory energy, and parametric instability regions in the parameter plane are classified as period-i (i≥1) parametric instability regions, where period-1 parametric instability regions are analytically obtained using the wave solution and the fixed point theory, and period-i (i>1) parametric instability regions are numerically calculated using bifurcation diagrams. If the periodic boundary movement profile of the string satisfies certain condition, only period-1 parametric instability regions exist. However, parametric instability regions with higher period numbers can exist for a general periodic boundary movement profile. Three corresponding nonlinear models that consider coupled transverse and longitudinal vibrations of the string, only the transverse vibration, and coupled transverse and axial vibrations are introduced next. Responses and vibratory energies of the linear and nonlinear models are calculated for both stable and unstable cases using three numerical methods: Galerkin's method, the explicit finite difference method, and the implicit finite difference method; advantages and disadvantages of each method are discussed. Numerical results for the linear model can be verified using the exact wave solution, and those for the nonlinear models are compared with each other since there are no exact solutions for them. It is shown that for parameters in the parametric instability regions of the linear model, the responses and vibratory energies of the nonlinear models are close to those of the linear model, which indicates that the parametric instability in the linear model can also exist in the nonlinear models. The mechanism of the parametric instability is explained in the linear model and through axial strains in the third nonlinear model.
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Murakami, Hidenori. "Development of an Active Curved Beam Model—Part I: Kinematics and Integrability Conditions." Journal of Applied Mechanics 84, no. 6 (April 18, 2017). http://dx.doi.org/10.1115/1.4036308.
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In order to develop an active nonlinear beam model, the beam's kinematics is examined in this paper, by employing the kinematic assumption of a rigid cross section during deformation. As a mathematical tool, the moving frame method, developed by Cartan (1869–1951) on differentiable manifolds, is utilized by treating a beam as a frame bundle on a deforming centroidal curve. As a result, three new integrability conditions are obtained, which play critical roles in the derivation of beam equations of motion. These integrability conditions enable the derivation of beam models in Part II, starting from the three-dimensional Hamilton's principle and the d'Alembert's principle of virtual work. To illustrate the critical role played by the integrability conditions, the variation of kinetic energy is computed. Finally, the reconstruction scheme for rotation matrices for given angular velocity at each time is presented.
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Ling, Mingxiang, Larry L. Howell, Junyi Cao, and Zhou Jiang. "A Pseudo-Static Model for Dynamic Analysis on Frequency Domain of Distributed Compliant Mechanisms." Journal of Mechanisms and Robotics 10, no. 5 (July 18, 2018). http://dx.doi.org/10.1115/1.4040700.
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This paper presents a pseudo-static modeling methodology for dynamic analysis of distributed compliant mechanisms to provide accurate and efficient solutions. First, a dynamic stiffness matrix of the flexible beam is deduced, which has the same definition and a similar form as the traditional static compliance/stiffness matrix but is frequency dependent. Second, the pseudo-static modeling procedure for the dynamic analysis is implemented in a statics-similar way based on D'alembert's principle. Then, all the kinematic, static and dynamic performances of compliant mechanisms can be analyzed based on the pseudo-static model. The superiority of the proposed method is that when it is used for the dynamic modeling of compliant mechanisms, the traditional dynamic modeling procedures, such as calculation of the elastic and kinetic energies as well as using Lagrange's equation, are avoided and the dynamic modeling is converted to a statics-similar problem. Comparison of the proposed method with an elastic-beam-based model in previous literature and finite element analysis for an exemplary XY precision positioning stage reveals its high accuracy and easy operation.
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Ling, Mingxiang, Xianmin Zhang, and Junyi Cao. "Extended Dynamic Stiffness Model for Analyzing Flexure-Hinge Mechanisms With Lumped Compliance." Journal of Mechanical Design 144, no. 1 (August 12, 2021). http://dx.doi.org/10.1115/1.4051891.
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Abstract This paper introduces an extended dynamic stiffness modeling approach for concurrent kinetostatic and dynamic analyses of planar flexure-hinge mechanisms with lumped compliance. First, two novel dynamic stiffness matrices are derived for two types of flexure hinge connected to rigid bodies by shifting the end node to the mass center of rigid bodies considering the geometric effect of rigid motion. A straightforward modeling procedure is then proposed for the whole compliant mechanism based on d'Alembert's principle by selecting the displacements at both the mass center of rigid bodies and the rest end nodes of flexure hinges as the hybrid state variables. With the presented method, the statics and dynamics of flexure-hinge mechanisms with irregular-shaped rigid bodies in complex serial-parallel configurations can be analyzed in a concise form. The presented method is compared with other theoretical models, finite element simulation, and experiments for three case studies of a bridge-type compliant mechanism, a leveraged XY precision positioning stage, and a Scott–Russell-mechanism-based XYθ flexure manipulator. The results reveal the easy operation and well prediction accuracy of the presented method.
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Murakami, Hidenori. "Development of an Active Curved Beam Model—Part II: Kinetics and Internal Activation." Journal of Applied Mechanics 84, no. 6 (April 18, 2017). http://dx.doi.org/10.1115/1.4036317.
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Utilizing the kinematics, presented in the Part I, an active large deformation beam model for slender, flexible, or soft robots is developed from the d'Alembert's principle of virtual work, which is derived for three-dimensional elastic solids from Hamilton's principle. This derivation is accomplished by refining the definition of the Cauchy stress tensor as a vector-valued 2-form to exploit advanced geometrical operations available for differential forms. From the three-dimensional principle of virtual work, both the beam principle of virtual work and beam equations of motion with consistent boundary conditions are derived, adopting the kinematic assumption of rigid cross sections of a deforming beam. In the derivation of the beam model, Élie Cartan's moving frame method is utilized. The resulting large deformation beam equations apply to both passive and active beams. The beam equations are validated with the previously reported results expressed in vector form. To transform passive beams to active beams, constitutive relations for internal actuation are presented in rate form. Then, the resulting three-dimensional beam models are reduced to an active planar beam model. To illustrate the deformation due to internal actuation, an active Timoshenko beam model is derived by linearizing the nonlinear planar equations. For an active, simply supported Timoshenko beam, the analytical solution is presented. Finally, a linear locomotion of a soft inchworm-inspired robot is simulated by implementing active C1 beam elements in a nonlinear finite element (FE) code.
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Shen, Nanyan, Hengming Yuan, Jing Li, Zirui Wang, Ninghe Lu, and Yushun Lu. "Dynamic Modeling and Simulation of a Hybrid Robot." Journal of Mechanisms and Robotics, April 12, 2022, 1–32. http://dx.doi.org/10.1115/1.4054322.
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Abstract The unique structure of hybrid robot makes its dynamic characteristic different from that of the traditional machine tools. Therefore, the dynamic model is crucial to both designing and application of hybrid robot. In this paper, a new type of 5-DoF hybrid robot is introduced and its dynamic model is established. Firstly, the kinematic formulas are derived for all the component, and then the inertia forces or moments are calculated. Secondly, the active forces or moments in the joints are assumed as variables and the number of variables is reduced by analyzing joint types. Then an equation set of 36 equilibrium equations with 38 variables is obtained by using D'Alembert's principle. Based on the spatial deformation compatibility analysis of 2 branches, 2 supplementary equations are derived to determine the solution of dynamic model of the hybrid robot with redundant constraints in its parallel mechanism. Several cases are studied by comparing with ADAMS simulation. The result shows the good accuracy of the proposed dynamic model, which provides a practical method to calculate the reaction force or moment in any joint at any instant for the hybrid robot and thus facilitates dimensional synthesis, trajectory optimization and smoothing control.
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Tran, Van Nhu, Xuan Ngoc Nguyen, Van Tan Vu, and Tien Phuc Dang. "ROLLOVER STABILITY ANALYSIS OF LIQUID TANK TRUCK TAKING INTO ACCOUNT THE ROAD PROFILES." Journal of Applied Engineering Science, October 11, 2022, 1–10. http://dx.doi.org/10.5937/jaes0-36578.
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The rollover stability of the tank truck was quite poor compare with others due to the influence of the oscillating liquid inside the tank. In addition, it was also affected by road excitation during driving. Therefore, the paper presents the impact of the road profiles in turning and lane change maneuvers on the rollover stability characteristics of a liquid tank truck. Firstly, the study applies the quasi-static method and the roll model to built the dynamic model of a circular cross-section tank truck. After that, the Lagrange method and the D'Alembert's principle are used to set up the differential equations which are then used to investigate rollover stability of vehicle corresponding with each liquid level. The research used the value of the load transfer ratio (LTR), crest factor of LTR and the roll angle of suspension to evaluate vehicle stability in the time domain and the transfer function magnitude of LTR in the frequency domain. The simulation results had shown that the tank truck tends to a rollover phenomenon at the fluid level in tank of 50% and 75% (0.8m and 1.2m) when the vehicle ran survey road profiles in a steady state turning maneuver and in a lane change maneuver as there was not the road excitation. The research results can provide recommendations when operating liquid tank truck, developing control systems and warning of rollover.
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Sun, Qiaolei, Liang He, Ding Feng, Xinlong Chen, Liangliang Ding, and Yiliu Tu. "Modeling and analysis of structure parameters on the lifting force for power catwalk." Journal of Engineering, Design and Technology ahead-of-print, ahead-of-print (July 17, 2020). http://dx.doi.org/10.1108/jedt-09-2018-0147.
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Purpose As the excessive lifting force can lead to catwalk rollover and well site accidents, the lifting process boundary conditions and structural parameters have a significant effect lifting force, it is important to analysis the structural parameters on the maximum lifting force in the lifting process of power catwalk. Design/methodology/approach A new model is proposed to analyze the influence of structure parameters on its lifting force for lifting power catwalk in this paper, and the geometric and dynamic equations are established according to the different boundary conditions in different stages. In addition, the establishment of dynamics equations is based on D'Alembert's principle. To solve the model, dynamic analysis software is developed, which uses c # call MATLAB to solve the geometric and dynamic equations. The maximum lifting force is analyzed and optimized according to the software, the influence of structural parameters on the maximum lifting force is obtained and the correctness of the optimization is proved by experiments. Findings The best value of offset e is 0. The length of L22 should as small as possible while the installation size of the end of the conveying arm are guaranteed. The length of L1 should as small as possible while ensuring the not exceed the maximum value. The maximum lifting force remain the same in the second phase, the maximum lifting force decreases with the increase of Lcp, Lcpshould as small as possible. The maximum pressure of the hydraulic oil dropped by an average of 13.62% under optimized parameters. Practical implications This paper provides a theoretical basis for the selection of hydraulic winch, which also provides the theoretical basis and data support for the design and optimization of the structural parameters of the power catwalk. Social implications This research has industrial applications in SJ Petroleum Machinery CO.LTD, SINOPEC (China) .CANRIG, North Rig, TESCO, Sichuan HONGHUA petroleum equipment CO.LTD of CNPC., Baoji Oil field Machinery CO.LTD, SJ Petroleum Machinery Co. LTD of SINOPEC, Yantai Jereh Oilfield Services Group CO.LTD, Nanyang clips oil equipment (group) CO. LTD, etc are the likely users. Originality/value A new model is proposed to analyze the lifting force of lifting power catwalk. The model takes into account the inertia force of the structure, development of dynamics software and analysis and optimization of structural parameters. The maximum lifting force is analyzed and optimized according to the software, the influence of structural parameters on the maximum lifting force is obtained and the correctness of the optimization is proved by experiments.