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Relevant bibliographies by topics / Rigid flexible multibody- Dynamics

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Academic literature on the topic 'Rigid flexible multibody- Dynamics'

Author: Grafiati

Published: 6 September 2023

Last updated: 7 September 2023

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Journal articles on the topic "Rigid flexible multibody- Dynamics"

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Chen, Gang, Weigong Zhang, and Bing Yu. "Multibody dynamics modeling of electromagnetic direct-drive vehicle robot driver." International Journal of Advanced Robotic Systems 14, no. 5 (September 1, 2017): 172988141773189. http://dx.doi.org/10.1177/1729881417731896.

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Collaborative dynamics modeling of flexible multibody and rigid multibody for an electromagnetic direct-drive vehicle robot driver is proposed in the article. First, spatial dynamic equations of the direct-drive vehicle robot driver are obtained based on multibody system dynamics. Then, the shift manipulator dynamics model and the mechanical leg dynamics model are established on the basis of the multibody dynamics equations. After establishing a rigid multibody dynamics model and conducting finite element mesh and finite element discrete processing, a flexible multibody dynamics modeling of the electromagnetic direct-drive vehicle robot driver is established. The comparison of the simulation results between rigid and flexible multibody is performed. Simulation and experimental results show the effectiveness of the presented model of the electromagnetic direct-drive vehicle robot driver.

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Duan, Yue Chen, Xia Li, Wei Wei Zhang, Guo Ning Liu, and Ting Ting Wang. "Impact Dynamics of Flexible Multibody System Based on Continuous Contact Force Method." Applied Mechanics and Materials 744-746 (March 2015): 1628–34. http://dx.doi.org/10.4028/www.scientific.net/amm.744-746.1628.

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The impact dynamics of spatial multi-link flexible multibody system is studied based on the continuous contact force method (CCFM). According to the rigid-flexible coupling dynamic theory of flexible multibody system, the rigid-flexible coupling continuous dynamic equations of the system are established by using the recursive Lagrange method. The impact dynamic equations of the system are stylized derived on the use of CCFM basing on the nonlinear spring-damper model. The contact separation criterion is given to achieve the conversion and calculation of the dynamic model for the system at different stages. An impact dynamic simulation example for a two-link planar flexible multibody system is given, as well as the global dynamic response. The results show that the impact dynamic solving method based on CCFM can be used for the global impact dynamics of multi-link flexible multibody systems. The dynamic behavior of the system changes dramatically during the impact process. The large overall motion, the small deformation motion and the impact effect are coupled.

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Wang, Xiaoyu, Haofeng Wang, Jingchao Zhao, Chunyang Xu, Zhong Luo, and Qingkai Han. "Rigid-Flexible Coupling Dynamics Modeling of Spatial Crank-Slider Mechanism Based on Absolute Node Coordinate Formulation." Mathematics 10, no. 6 (March 10, 2022): 881. http://dx.doi.org/10.3390/math10060881.

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In order to study the influence of compliance parts on spatial multibody systems, a rigid-flexible coupling dynamic equation of a spatial crank-slider mechanism is established based on the finite element method. Specifically, absolute node coordinate formulation (ANCF) is used to formulate a three-dimensional, two-node flexible cable element. The rigid-flexible coupling dynamic equation of the mechanism is derived by the Lagrange multiplier method and solved by the generalized α method and Newton–Raphson iteration method combined. Comparison of the kinematics and dynamics response between rigid-flexible coupling system and pure rigid system implies that the flexible part causes a certain degree of nonlinearity and reduces the reaction forces of joints. The elastic modulus of the flexible part is also important to the dynamics of the rigid-flexible multibody system. With smaller elastic modulus, the motion accuracy and reaction forces become lower.

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Liu, Zhuyong, Jiazhen Hong, Jinyang Liu, and Guanghao Xu. "58907 RIGID-FLEXIBLE COUPLING EFFECTS OF THE FLEXIBLE PLATE UNDERGOING LARGE OVERALL MOTION(Flexible Multibody Dynamics)." Proceedings of the Asian Conference on Multibody Dynamics 2010.5 (2010): _58907–1_—_58907–6_. http://dx.doi.org/10.1299/jsmeacmd.2010.5._58907-1_.

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Zhu, C. X., Yong Xian Liu, Guang Qi Cai, and L. D. Zhu. "Dynamics Simulation Analysis of Flexible Multibody of Parallel Robot." Applied Mechanics and Materials 10-12 (December 2007): 647–51. http://dx.doi.org/10.4028/www.scientific.net/amm.10-12.647.

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Take a kind of 3-TPT parallel robot as an example, the model of flexible multibody of parallel machine tool is built by using multibody dynamics simulation software ADAMS and finite element analysis software ANSYS. And dynamics equation of flexible body in spatial is also set up, after that the dynamics simulation is carried out. Then the simulation results of rigid bodies are compared with flexible ones, and the results show that the forces applied on flexible bodies appear high nonlinear, so the simulation results of flexible multibody system are more authentic, nicety and can reflect actual dynamics characteristic of parallel robot.

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Zakhariev, Evtim. "Nonlinear Dynamics of Rigid and Flexible Multibody Systems." Mechanics of Structures and Machines 28, no. 1 (August 2, 2000): 105–36. http://dx.doi.org/10.1081/sme-100100614.

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Yu, Hua-Nan, Jing-Shan Zhao, and Fu-Lei Chu. "Dynamic modeling of flexible multibody system using a meshing method." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 4 (May 10, 2013): 611–31. http://dx.doi.org/10.1177/0954406213489444.

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Multi-rigid-body system dynamics can be used to investigate the dynamics of a mechanical system of rigid bodies while the finite element method is often utilized to model the quasi-static elastic deformations of an elastic structure. However, neither of these two methods can resolve the real dynamics of a mechanical system when both rigid displacements and elastic deformations coexist. Therefore, this article proposes a meshing method to simulate the mechanical system with uniform mass point movements. To split the specified solid structure into a set of regularly distributed dynamic units, one can assume that the mass density of the structure is evenly distributed within the whole concrete volume and the elasticity and damping of the material are isotropic. Then the whole solid structure of each component can be divided into a number of tetrahedrons the vertexes of which are the points with the mass parameters. The original distances between every pair of adjacent points are supposed to be identical, and the stiffness and the damping coefficients are introduced to formulate the internal and external dynamics of the adjacent mass points. To illustrate the correction and effectiveness of the method, the dynamics problems of a number of regular elastic bodies are investigated with large rigid displacements accompanying elastic deformations. Computer simulations demonstrate that this method is especially useful for real mechanical systems where the rigid displacements and elastic deformations coexist.

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Wang, Yi Ping, Wen Lei Sun, and Qun Zhao. "Research on Dynamic Characteristics of 750KW Wind Turbine Flexible Blades." Applied Mechanics and Materials 34-35 (October 2010): 1757–60. http://dx.doi.org/10.4028/www.scientific.net/amm.34-35.1757.

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It is necessary and fitting to use flexible multibody dynamics method to study the wind turbine blades. Because the characteristics of the blades will directly affect the whole wind turbine’s, and the results by using flexible multibody method are to agree with reality. Considering the anisotropic composite blades, it established the flexible blades model and rigid-flexible wind rotor model of the 750KW wind turbine by the software of ANSYS and ADAMS. Then fit the loads which are computed from BLADE to the wind rotor, analyze the dynamic characteristics of the rotor. It gets the dynamic features of the flexible blades and the rigid blades’ as a comparison, which will be useful to research on WTGS, and will supply reference data to blade trouble analysis and optimization design.

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Langlois, R. G., and R. J. Anderson. "A TUTORIAL PRESENTATION OF ALTERNATIVE SOLUTIONS TO THE FLEXIBLE BEAM ON RIGID CART PROBLEM." Transactions of the Canadian Society for Mechanical Engineering 29, no. 3 (September 2005): 357–73. http://dx.doi.org/10.1139/tcsme-2005-0022.

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A classical planar problem in forward flexible multibody dynamics is thoroughly investigated. The system consists of a damped flexible beam cantilevered to a rigid translating cart. The problem is solved using three distinctly different conventional approaches presented in roughly the chronological order in which they have been applied to flexible dynamic systems. First, a modal superposition formulation based on Bernoulli-Euler beam theory is developed. Second, an alternative solution is developed drawing exclusively on methods for rigid body dynamics combined with a knowledge of the theoretical modal behaviour of continuous beams. Third, a formulation based on the conventional finite element method using four-degree-of-freedom planar beam elements is adapted to include the rigid body motion of the cart. The relative merits of the three formulations are discussed and numerical simulation results generated using each of the three formulations are compared with each other and with a solution from a general-purpose flexible multibody dynamics formulation that is briefly outlined. The relative accuracy and efficiency of the methods and the challenges associated with generalizing each formulation are discussed.

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Qin, Wen Jie, D. W. Jia, and Q. Y. Liu. "Multibody System Dynamics Simulation of Loads in Main Bearings of Crankshafts." Materials Science Forum 628-629 (August 2009): 55–60. http://dx.doi.org/10.4028/www.scientific.net/msf.628-629.55.

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In this paper, as for the calculation of loads in main bearings in a crankshaft system, multibody system dynamics is used to simulate the dynamic characteristics of the system composed of flexible and rigid bodies, coupled with hydrodynamic lubrication analysis further. The multibody system model with flexible crankshaft of one V8 diesel engine is built in ADAMS software, in which the bearings are modeled as rigid constrained bearings and hydrodynamic bearings respectively. The resulted loads in main bearings using different models are compared. The results show that the deformation of crankshafts has great effect on the values of loads in main bearings, and the bearing loads in different directions tend to uniformity due to the hydrodynamic lubrication.

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Dissertations / Theses on the topic "Rigid flexible multibody- Dynamics"

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Yi, Tong Yong 1955. "Structural Identification Based on Vibration Data for Flexible and Rigid Multibody System Dynamics." Diss., The University of Arizona, 1996. http://hdl.handle.net/10150/565568.

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Yamashita, Hiroki. "Flexible multibody dynamics approach for tire dynamics simulation." Diss., University of Iowa, 2016. https://ir.uiowa.edu/etd/2297.

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The objective of this study is to develop a high-fidelity physics-based flexible tire model that can be fully integrated into multibody dynamics computer algorithms for use in on-road and off-road vehicle dynamics simulation without ad-hoc co-simulation techniques. Despite the fact detailed finite element tire models using explicit finite element software have been widely utilized for structural design of tires by tire manufactures, it is recognized in the tire industry that existing state-of-the-art explicit finite element tire models are not capable of predicting the transient tire force characteristics accurately under severe vehicle maneuvering conditions due to the numerical instability that is essentially inevitable for explicit finite element procedures for severe loading scenarios and the lack of transient (dynamic) tire friction model suited for FE tire models. Furthermore, to integrate the deformable tire models into multibody full vehicle simulation, co-simulation technique could be an option for commercial software. However, there exist various challenges in co-simulation for the transient vehicle maneuvering simulation in terms of numerical stability and computational efficiency. The transient tire dynamics involves rapid changes in contact forces due to the abrupt braking and steering input, thus use of co-simulation requires very small step size to ensure the numerical stability and energy balance between two separate simulation using different solvers. In order to address these essential and challenging issues on the high-fidelity flexible tire model suited for multibody vehicle dynamics simulation, a physics-based tire model using the flexible multibody dynamics approach is proposed in this study. To this end, a continuum mechanics based shear deformable laminated composite shell element is developed based on the finite element absolute nodal coordinate formulation for modeling the complex fiber reinforced rubber tire structure. The assumed natural strain (ANS) and enhanced assumed strain (EAS) approaches are introduced for alleviating element lockings exhibited in the element. Use of the concept of the absolute nodal coordinate formulation leads to various advantages for tire dynamics simulation in that (1) constant mass matrix can be obtained for fully nonlinear dynamics simulation; (2) exact modeling of rigid body motion is ensured when strains are zero; and (3) non-incremental solution procedure utilized in the general multibody dynamics computer algorithm can be directly applied without specialized updating schemes for finite rotations. Using the proposed shear deformable laminated composite shell element, a physics-based flexible tire model is developed. To account for the transient tire friction characteristics including the friction-induced hysteresis that appears in severe maneuvering conditions, the distributed parameter LuGre tire friction model is integrated into the flexible tire model. To this end, the contact patch predicted by the structural tire model is discretized into small strips across the tire width, and then each strip is further discretized into small elements to convert the partial differential equations of the LuGre tire friction model to the set of first-order ordinary differential equations. By doing so, the structural deformation of the flexible tire model and the LuGre tire friction force model are dynamically coupled in the final form of the equations, and these equations are integrated simultaneously forward in time at every time step. Furthermore, a systematic and automated procedure for parameter identification of LuGre tire friction model is developed. Since several fitting parameters are introduced to account for the nonlinear friction characteristics, the correlation of the model parameters with physical quantities are not clear, making the parameter identification of the LuGre tire friction model difficult. In the procedure developed in this study, friction parameters in terms of slip-dependent friction characteristics and adhesion parameter are estimated separately, and then all the parameters are identified using the nonlinear least squares fitting. Furthermore, the modified friction characteristic curve function is proposed for wet road conditions, in which the linear decay in friction is exhibited in the large slip velocity range. It is shown that use of the proposed numerical procedure leads to an accurate prediction of the LuGre model parameters for measured tire force characteristics under various loading and speed conditions. Furthermore, the fundamental tire properties including the load-deflection curve, the contact patch lengths, contact pressure distributions, and natural frequencies are validated against the test data. Several numerical examples for hard braking and cornering simulation are presented to demonstrate capabilities of the physics-based flexible tire model developed in this study. Finally, the physics-based flexible tire model is further extended for application to off-road mobility simulation. To this end, a locking-free 9-node brick element with the curvature coordinates at the center node is developed and justified for use in modeling a continuum soil with the capped Drucker-Prager failure criterion. Multiplicative finite strain plasticity theory is utilized to consider the large soil deformation exhibited in the tire/soil interaction simulation. In order to identify soil parameters including cohesion and friction angle, the triaxial soil test is conducted. Using the soil parameters identified including the plastic hardening parameters by the compression soil test, the continuum soil model developed is validated against the test data. Use of the high-fidelity physics-based tire/soil simulation model in off-road mobility simulation, however, leads to a very large computational model to consider a wide area of terrains. Thus, the computational cost dramatically increases as the size of the soil model increases. To address this issue, the component soil model is proposed such that soil elements far behind the tire can be removed from the equations of motion sequentially, and then new soil elements are added to the portion that the tire is heading to. That is, the soil behavior only in the vicinity of the rolling tire is solved in order to reduce the overall model dimensionality associated with the finite element soil model. It is shown that use of the component soil model leads to a significant reduction in computational time while ensuring the accuracy, making the use of the physics-based deformable tire/soil simulation capability feasible in off-road mobility simulation.

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Palomba, Ilaria. "State estimation in multibody systems with rigid or flexible links." Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3427127.

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In the multibody field the design of state observers proves useful for several tasks, ranging from the synthesis of control schemes and fault detection strategies, to the identication of uncertain parameters. State observers are designed to obtain accurate estimates of unmeasurable or unmeasured variables. Their accuracy and performance depend on both the estimation algorithms and the system models. Indeed, on the one hand the estimation algorithms should be able to cope with multibody system (MBS) nonlinearities. On the other, MB models should be suitable to state estimation, i.e. accurate and computationally efficient. In order to obtain the best results, it has been necessary to develop dierent approaches for rigid-link and flexible-link MBSs. In the case of rigid-link MBSs, state observers based on nonlinear kinematic models (i.e. kinematic constraint equations) have been developed. When compared to dynamic models, kinematic models present some relevant advantages. In particular, they are less complex and much less aected by uncertainty. Additionally, though kinematics-based observers do not require force and torque measurements (often dicult to gather) as inputs, they can be successfully employed for estimating unknown forces: to this purpose a novel two-stage approach is proposed in this dissertation. As far as modeling flexible-link MBSs is concerned, it is more complicated and makes the implementation of kinematics-based observers impossible, since it is not possible to decouple kinematics from dynamics easily. Furthermore, the so called ne motion of such systems is typically described through a large number of elastic coordinates, which in turns leads to high model dimensions, and to very inefficient, if not impossible to synthesize, state observers. In order to address this issue, firstly, a new strategy has been developed to keep model dimensions to a minimum. Such a strategy leads to a signicant reduction in the size of the models, which, in turns, provide an appropriate representation of the system dynamics in a frequency range of interest. The availability of reduced-dimension but accurate models for flexible-link MBSs poses the way to the synthesis of more efficient observers provided that a suitable estimation algorithm is chosen. This thesis also collects results from a large number of numerical and experimental tests carried out to validate the intermediate and nal outcomes of the theoretical investigations.
Nello studio e nella progettazione di meccanismi e manipolatori (comunemente detti sistemi multibody MB) la sintesi di stimatori dello stato diviene un requisito indispensabile in molteplici applicazioni avanzate, quali ad esempio la fault detection, l'identicazione dei parametri, la sintesi di controllori, o il controllo attivo delle vibrazioni. Gli stimatori dello stato sono progettati per ottenere delle accurate stime di variabili non misurabili o non misurate. Le prestazioni di uno stimatore dipendono tanto dalla scelta di un opportuno algoritmo di stima, che deve essere capace di fronteggiare le nonlinearità dei sistemi MB, quanto dalla modellazione adottata per i sistemi stessi. In particolare, quest'ultima deve essere adatta al processo di stima, nel senso che deve fornire una descrizione accurata del sistema fisico ma al contempo essere efficiente computazionalmente. Al fine di ottimizzare le prestazioni degli stimatori sono stati sviluppati degli approcci di stima diversicati per i sistemi MB a membri rigidi ed a membri flessibili. In riferimento ai sistemi MB a membri rigidi è stato sviluppato un approccio di stima che rafforza significativamente il ruolo delle equazioni di chiusura cinematiche. Infatti esse, rispetto ai modelli dinamici sino ad ora ampiamente utilizzati, presentano alcuni vantaggi tra cui la minore complessità ed incertezza. Questo nuovo approccio permette non solo di ottenere stime dello stato più accurate ma anche di affrontare con successo il problema della stima delle forze incognite attraverso una formulazione del tutto innovativa, chiamata approccio a due stadi ("two-stage approach"). Per quanto concerne la modellazione dei sistemi MB a membri flessibili, essa presenta criticità alquanto diverse dal precedente ambito di indagine, tra cui la difficoltà di disaccoppiare l'analisi cinematica da quella dinamica, che impedisce l'adozione di un approccio cinematico per la stima delle variabili di stato, e le elevate dimensioni dei modelli che usualmente non permettono la sintesi di stimatori computazionalmente efficienti. Tali criticità hanno imposto preliminarmente lo sviluppo di una nuova strategia per la riduzione dei modelli dinamici non lineari configurazione-varianti dei sistemi MB a membri flessibili. Questa nuova strategia di riduzione permette di ottenere dei modelli dinamici di dimensioni significativamente ridotte, ma ugualmente capaci di descrivere accuratamente la dinamica dei sistemi MB a membri flessibili in un intervallo di frequenze d'interesse. La disponibilità di tali modelli ridotti ha reso possibile la successiva implementazione di più efficienti stimatori dello stato anche nonlineari. Nel presente lavoro di tesi sono inoltre raccolti i numerosi risultati derivanti da test sia numerici che sperimentali condotti per dimostrare la validità degli sviluppi teorici discussi.

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Stemple, Timothy J. "Dynamics and Control of Flexible Multibody Structures." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/30407.

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The goal of this study is to present a method for deriving equations of motion capable of modeling the controlled motion of an open loop multibody structure comprised of an arbitrary number of rigid bodies and slender beams. The procedure presented here for deriving equations of motion for flexible multibody systems is carried out by means of the Principle of Virtual Work (often referred to in the dynamics literature as d'Alembert's Principle). We first consider the motion of a general flexible body relative to the inertial space, and then derive specific formulas for both rigid bodies and slender beams. Next, we make a small motions assumption, with the end result being equations for a Rayleigh beam, which include terms which account for the axial motion, due to bending, of points on the beam central axis. This process includes a novel application of the exponential form of an orthogonal matrix, which is ideally suited for truncation. Then, the generalized coordinates and quasi-velocities used in the mathematical model, including those needed in the spatial discretization process of the beam equations are discussed. Furthermore, we develop a new set of recursive relations used to compute the inertial motion of a body in terms of the generalized coordinates and quasi-velocities. This research was motivated by the desire to model the controlled motion of a flexible space robot, and consequently, we use the multibody dynamics equations to simulate the motion of such a structure, providing a demonstration of the computer program. For this particular example we make use of a new sequence of shape functions, first used by Meirovitch and Stemple to model a two dimensional building frame subjected to earthquake excitations.
Ph. D.

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Mantikas, Nikolaos. "Dynamics of large flexible multibody structures in space." Thesis, University of Southampton, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.396146.

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Chen, Jiunn-Liang. "Dynamics and control of structurally flexible multibody systems." Case Western Reserve University School of Graduate Studies / OhioLINK, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=case1056383298.

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Park, Jungho 1958. "Uncoupling of rigid-flexible multibody equations of motion using node annexation method." Diss., The University of Arizona, 1997. http://hdl.handle.net/10150/282519.

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This study presents the node annexation method for modeling kinematic joints between rigid and flexible bodies of rigid-flexible multibody systems. Each node of a flexible body is assumed to have lumped mass and three translational degrees of freedom, resulting in a diagonal mass matrix. Based on the node annexation method, both the nodal- and the modal-coordinate formulations for rigid-flexible multibody dynamics are developed. Conventionally rigid-to-flexible-body joints are treated as kinematic constraints using the Lagrange multiplier method. The formulations based on kinematic constraint method yield coupled equations of motion which have the difficulties associated with modal truncation. On the other hand, the node annexation method transfers the inertia and force effect of connected nodes of a flexible body to the connected rigid body. The mass matrix of the resultant equations of motion consists of two different kind of sub-matrices: one is rigid-body sub-system matrix containing the inertia of both rigid bodies and connected nodes of the flexible body and another is flexible-body sub-system matrix containing the inertia of free nodes of the flexible body. Since there is no off-diagonal terms coupling the sub-matrices, the node annexation method allows the division of the equations of motion into smaller sub-system equations. The node annexation method not only provides computational efficiency but also fundamentally eliminates any kinematic error at rigid-to-flexible-body joints. In addition, the node annexation method preserves the uncoupled nature of modal coordinates, allowing a mathematically justified modal truncation. Computer simulations are performed using a vehicle model with a flexible car body. The simulation results show computational advantage over the kinematic constraint method.

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Rodriguez, Jesus. "Modeling of complex systems using nonlinear, flexible multibody dynamics." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/12344.

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Leyendecker, Sigrid. "Mechanical integrators for constrained dynamical systems in flexible multibody dynamics." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=980411912.

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Roberts, David Thomas. "Assessment of finite element approximations for nonlinear flexible multibody dynamics." Thesis, Massachusetts Institute of Technology, 1991. http://hdl.handle.net/1721.1/42506.

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Books on the topic "Rigid flexible multibody- Dynamics"

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Nandihal, Paramanand Vivekanand, Ashish Mohan, and Subir Kumar Saha. Dynamics of Rigid-Flexible Robots and Multibody Systems. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-2798-9.

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Bauchau, O. A. Flexible Multibody Dynamics. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0335-3.

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Banerjee, Arun K., ed. Flexible Multibody Dynamics. Oxford, UK: John Wiley & Sons, Ltd, 2016. http://dx.doi.org/10.1002/9781119015635.

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Bauchau, Olivier Andre. Flexible Multibody Dynamics. Dordrecht: Springer Science+Business Media B.V., 2011.

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Simeon, Bernd. Computational Flexible Multibody Dynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35158-7.

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1940-, Schwertassek Richard, ed. Dynamics of multibody systems. Berlin: Springer-Verlag, 1988.

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Wittenburg, Jens. Dynamics of multibody systems. 2nd ed. Berlin: Springer, 2007.

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Advanced dynamics: Rigid body, multibody, and aerospace applications. Hoboken, N.J: Wiley, 2011.

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Alberto, Cardona, ed. Flexible multibody dynamics: A finite element approach. New York: John Wiley, 2001.

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Banerjee, Arun K. Flexible multibody dynamics: Efficient formulations and applications. Chichester, West Sussex, United Kingdom: John Wiley & Sons, Inc., 2015.

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Book chapters on the topic "Rigid flexible multibody- Dynamics"

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Simeon, Bernd. "Rigid Multibody Dynamics." In Computational Flexible Multibody Dynamics, 13–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-35158-7_2.

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Bauchau, O. A. "Kinematics of rigid bodies." In Flexible Multibody Dynamics, 161–200. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-94-007-0335-3_5.

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Bauchau, O. A. "Kinetics of rigid bodies." In Flexible Multibody Dynamics, 201–50. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-94-007-0335-3_6.

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Wehage, R. A., and M. J. Belczynski. "Constrained Multibody Dynamics." In Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, 3–29. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1166-9_1.

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Meijaard, Jacob Philippus. "Modelling Rigid and Flexible Bodies with Truss Elements." In Multibody Dynamics 2019, 275–82. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23132-3_33.

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Hiller, M., and A. Kecskeméthy. "Dynamics of Multibody Systems with Minimal Coordinates." In Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, 61–100. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1166-9_3.

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Géradin, M., A. Cardona, D. B. Doan, and J. Duysens. "Finite Element Modeling Concepts in Multibody Dynamics." In Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, 233–84. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1166-9_8.

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Ambrósio, Jorge A. C., and Manuel Seabra Pereira. "Flexibility in Multibody Dynamics with Applications to Crashworthiness." In Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, 199–232. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1166-9_7.

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Pereira, M. S., and J. P. Dias. "Optimization of Rigid and Flexible Multibody Systems With Application to Vehicle Dynamics and Crashworthiness." In Virtual Nonlinear Multibody Systems, 363–82. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0203-5_22.

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Betsch, Peter. "Energy-Momentum Integrators for Elastic Cosserat Points, Rigid Bodies, and Multibody Systems." In Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics, 31–89. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31879-0_2.

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Conference papers on the topic "Rigid flexible multibody- Dynamics"

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Zakhariev, Evtim V. "Nonlinear Dynamics of Rigid and Flexible Multibody Systems." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8248.

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Abstract In the present paper a unified numerical approach for dynamics modeling of multibody systems with rigid and flexible bodies is suggested. The dynamic equations are second order ordinary differential equations (without constraints) with respect to a minimal set of generalized coordinates that describe the parameters of gross relative motion of the adjacent bodies and their small elastic deformations. The numerical procedure consists of the following stages: structural decomposition of elastic links into fictitious rigid points and/or bodies connected by joints in which small force dependent relative displacements are achieved; kinematic analysis; deriving explicit form dynamic equations. The algorithm is developed in case of elastic slender beams and finite elements achieving spatial motion with three translations and three rotations of nodes. The beam elements are basic design units in many mechanical devices as space station antennae and manipulators, cranes and etc. doing three dimensional motion which large elastic deflections could not be neglected or linearised. The stiffness coefficients and inertia mass parameters of the fictitious joints and links are calculated using the numerical procedures of the finite element theory. The method is called finite elements in relative coordinates. Its equivalence with the procedures of recently developed finite segment approaches is shown, while in the treatment different results are obtained. The approach is used for solution of some nonlinear static problems and for deriving the explicit configuration space dynamic equations of spatial flexible system using the principle of virtual work and Euler-Lagrange equations.

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Zahariev, Evtim V. "Novel Method for Rigid and Flexible Multibody System Dynamics Simulation." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84137.

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In the paper novel generalized Newton–Euler equations are derived and applied for simulation of dynamics of rigid and flexible multibody systems. The procedures for working out the equations are described. The dynamic equations are expressed with respect to the quasi–velocities and accelerations. The equations proposed are applicable for flexible structures for which the mass reduction is implemented theoretically correctly on the basis of the equivalence of the kinetic energy. The equations are consistent with the commercially available software that realizes the finite element methods for deriving the dynamic equations of systems with mesh of rigid bodies, flexible elements and substructures. Several examples present the effectiveness of the method. It is shown that using the classical finite element mass-matrices and the method proposed for deriving the dynamic equations one could obtain precise results. Examples of deformations of long tethered satellite are presented.

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Inagaki, Mizuho, Atsushi Kawamoto, Takayuki Aoyama, Atsushi Kawaguchi, and Nobuyuki Mori. "Flexible Multibody Dynamics Analysis of Automobile Engine." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84247.

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The calculation method of dynamics behavior on automobile engine is getting more important as computer-aided engineering technique to design optimized mechanisms and structures for lighter weight, lower mechanical friction and lower noise. Engine system consists of deformable moving components and several kinds of mechanical joints, such as an oil lubricated bearing. Dynamics problem includes various kinds of noise and vibration phenomena in wide frequency range. Therefore, it is crucial to analyze precisely the coupling behavior between rigid motion and elastic deformation of moving components considering nonlinear dynamic effect of mechanical joint. In this study, we formulated equations of motion for the flexible multibody dynamics system and developed a computer software specialized for internal combustion engines. In the formulation, both rigid motion and elastic deformation are simply expressed by eigen modes on a local observer frame in order to calculate efficiently many deformation modes up to higher frequency range. In addition, several kinds of force elements are formulated to express the nonlinear forces of mechanical joints and the boundary conditions. The developed program has been verified by the experiments under running condition and applied to the real engine design.

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Bae, D. S., J. M. Han, and J. H. Choi. "A Virtual Body and Joint for Constrained Flexible Multibody Dynamics." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8228.

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Abstract A convenient implementation method for constrained flexible multibody dynamics is presented by introducing virtual rigid body and joint. The general purpose program for rigid and flexible multibody dynamics consists of three major parts of a set of inertia modules, a set of force modules, and a set of joint modules. Whenever a new force or joint module is added to the general purpose program, the modules for the rigid body dynamics are not reusable for the flexible body dynamics. Consequently, the corresponding modules for the flexible body dynamics must be formulated and programmed again. Since the flexible body dynamics handles more degrees of freedom than the rigid body dynamics does, implementation of the module is generally complicated and prone to coding mistakes. In order to overcome these difficulties, a virtual rigid body is introduced at every joint and force reference frames. New kinematic admissibility conditions are imposed on two body reference frames of the virtual and original bodies by introducing a virtual flexible body joint. There are some computational overheads due to the additional bodies and joints. However, since computation time is mainly depended on the frequency of flexible body dynamics, the computational overhead of the presented method could not be a critical problem, while implementation convenience is dramatically improved.

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Han, Shilei, and Olivier A. Bauchau. "Stability Analysis of Periodic Solutions for Flexible Multibody Dynamics." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97651.

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Abstract Discontinuous Galerkin formulation is developed for stability analysis of periodic solutions of flexible multibody dynamics. The proposed approach takes rigid-body motions of each structural nodes as the unknowns. The rigid-body motions are interpolated by using dual spherical linear interpolation (dual-SLERP). The analysis is composed of two steps: (1) the periodic solution is obtained by solving nonlinear equations resulting from Galerkin method; (2) a linearization about the periodic solution leads to a periodic linear system and its stability is assessed by using Floquet’s method.

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Griffith, D. Todd, James D. Turner, and John L. Junkins. "Some Applications of Automatic Differentiation to Rigid, Flexible, and Constrained Multibody Dynamics." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85640.

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In this paper, we discuss several applications of automatic differentiation to multibody dynamics. The scope of this paper covers the rigid, flexible, and constrained dynamical systems. Particular emphasis is placed on the development of methods for automating the generation of equations of motion and the simulation of response using automatic differentiation. We also present a new approach for generating exact dynamical representations of flexible multibody systems in a numerical sense using automatic differentiation. Numerical results will be presented to detail the efficiency of the proposed methods.

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Garci´a-Vallejo, Daniel, Jose´ L. Escalona, Juana M. Mayo, and Jaime Domi´nguez. "Formulation of Three-Dimensional Rigid-Flexible Multibody Systems." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35013.

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Multibody systems generally contain solids the deformations of which are appreciable and which decisively influence the dynamics of the system. These solids have to be modeled by means of special formulations for flexible solids. At the same time, other solids are of such a high stiffness that they may be considered rigid, which simplifies their modeling. For these reasons, for a rigid-flexible multibody system, two types of formulations co-exist in the equations of the system. Among the different possibilities provided in bibliography on the material, the formulation in natural coordinates and the formulation in absolute nodal coordinates are utilized in this article to model the rigid and flexible solids, respectively. This article contains a mixed formulation based on the possibility of sharing coordinates between a rigid solid and a flexible solid. In addition, the fact that the matrix of the global mass of the system is shown to be constant and that many of the constraint equations obtained upon utilizing these formulations are linear and can be eliminated. In this work, the formulation presented is utilized to simulate a mechanism with both rigid and flexible components.

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Pogorelov, Dmitry, Gennady Mikheev, Nikolay Lysikov, Lev Ring, Raju Gandikota, and Nader Abedrabbo. "A Multibody System Approach to Drill String Dynamics Modeling." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82316.

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The selection of optimal operational parameters for drilling oil and gas wells is a complex dynamic problem that depends on multiple parameters. Numerous physical and mechanical processes such as rock cutting, friction, hydraulics, and different modes of vibrations, occur during drilling, which should be accounted for in numerical models. It is widely accepted that bottom hole assembly (BHA) vibrations are the primary source of drilling equipment premature failure. Over the last 30 years, progress of computational sciences has enabled the use of numerical simulations of drillstring dynamics as a useful tool to understand and mitigate sources of harmful vibrations. The majority of these models have been based on nonlinear finite elements. There are several significant limitations with this approach, including an extremely high number of degree of freedom (DOF) required to represent geometries with 105 ratio of axial to lateral dimensions and also the complexity of modeling variable contacts in bifurcating systems. While it is relatively new for simulating drilling dynamics, the advantage of the proposed rigid-flexible multibody system approach has been proven for modeling complex dynamic systems in other industries. Using a rigid-flexible multibody system approach to analyze dynamic effects both in frequency and time domains, dynamic modeling of BHA and drillstring is proposed. Drillstring is simulated as a set of uniform flexible beams connected via linear viscous-elastic force elements. Each beam can undergo arbitrary large displacements as absolutely rigid body, but its flexible displacements due to elastic deformations are small. A method of floating frame of reference for flexible bodies and component mode synthesis is used for modeling beams dynamics. Parameters of the coupling force elements are calculated automatically based on stiffness and inertia characteristics of the connected beams. This paper discusses the development of the rigid-flexible multibody system for modeling drillstring dynamics and the influence of model parameters on simulation accuracy and calculation time. A close match is shown between theoretical and numerical results for static and buckling problems as well as resonant frequency values. Several transient drillstring dynamics problems are analyzed for wellbores with uniform diameter. Examples of the analysis of resonant conditions during drilling planning stage are also presented. It is also shown how transient time domain analysis can provide further insights into lateral and torsional vibrations, whirl behavior, and effect of local wellbore curvatures on the drillstring performance.

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Cammarata, A. "Interface reduction in flexible multibody systems." In AIMETA 2022. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902431-105.

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Abstract. The problem of imposing the reference conditions in a floating frame of reference formulation is coupled with the necessity to reduce the interfaces to virtual nodes required to define the multibody joints. Two methods are implemented for rigid and interpolation multipoint constraints, and the reference condition matrix is derived employing all the interface dofs. The case study of a slider-crank mechanism is discussed to show how different sets of reference conditions can modify the system’s dynamics.

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Estupinan, Edgar A., and Ilmar F. Santos. "Linking Rigid and Flexible Multibody Systems via Thin Fluid Films Actively Controlled." In STLE/ASME 2008 International Joint Tribology Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ijtc2008-71177.

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This work describes in details the steps involved within the mathematical modelling of multibody systems (rigid and flexible) interconnected via controllable thin fluid films. The dynamics of the mechanical components are described with help of multibody dynamics and finite element method. In this paper, the methodology is applied to reciprocating machines such as hermetic reciprocating compressors and internal combustion engines. In previous studies [1], it has been shown that for a light duty vehicle, the friction losses may reach until 48% of the total energy consumption of an engine and from that, almost 30% are coming from bearings and crankshaft. Therefore, considering that the dynamics of the fluid films in the journal bearings can be actively controlled by means of different types of actuators, allowing significant reduction of wear and vibrations, one of the aims of this paper is to study the feasibility of applying active lubrication to the main journal bearings of reciprocating machines. In this framework the paper gives a theoretical contribution to the combined fields of fluid-structure interaction and active vibration control. The hydrodynamic pressure distribution for an active lubricated finite journal bearing dynamically loaded can be calculated by numerically solving the modified Reynold’s equation [2], by means of finite-difference method and integrated over the pressure area in order to obtain the dynamic reaction forces among components. These forces are strongly nonlinear and dependent on the relative kinematics of the system. From the point of view of active lubrication and specifically considered the case of a dynamically loaded journal bearing, the injection pressure should be controlled in the time domain. However, taking into account that the pressures and reaction forces in a reciprocating machine have a cyclic behaviour, the fluid film thickness of the main bearings may be modified by controlling the oil pressure injection, depending on the crank angle and the load bearing condition. It can be mentioned that the pressure and flow may be controlled by mechanical cam systems, piezoelectric nozzles [3] [4] or servovalves [5] [6], therefore, an adequate control strategy has to be defined. The fluid film forces are coupled to the set of nonlinear equations that describes the dynamics of the mechanical system. Such a set of equations is numerically solved giving some insights into the following parameters: a) maximum fluid film pressure, b) minimum fluid film thickness, c) maximum vibration levels and d) viscous frictional forces. The behaviour of such parameters is investigated when the system operate with conventional hydro-dynamic lubrication, passive hybrid lubrication and controlled hybrid lubrication.

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Reports on the topic "Rigid flexible multibody- Dynamics"

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Shabana, Ahmed A. Nonlinear Coupling Between Control and Dynamic Parameters in Flexible Multibody Dynamics. Fort Belvoir, VA: Defense Technical Information Center, January 2001. http://dx.doi.org/10.21236/ada391739.

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