Готові списки джерел за темами / Non-smooth nonlinearity

Добірка наукової літератури з теми "Non-smooth nonlinearity"

Автор: Grafiati
Опубліковано: 14 березня 2023

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Статті в журналах з теми "Non-smooth nonlinearity"

1

Meleshenko, Peter A., Mikhail E. Semenov, and Alexander F. Klinskikh. "Conservative chaos in a simple oscillatory system with non-smooth nonlinearity." Nonlinear Dynamics 101, no. 4 (September 2020): 2523–40. http://dx.doi.org/10.1007/s11071-020-05956-1.

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2

Lisitano, D., S. Jiffri, E. Bonisoli, and J. E. Mottershead. "Experimental feedback linearisation of a vibrating system with a non-smooth nonlinearity." Journal of Sound and Vibration 416 (March 2018): 192–212. http://dx.doi.org/10.1016/j.jsv.2017.11.047.

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3

Yurkevich, Valery D. "Controller Design in Presence of Non-Smooth Nonlinearity: A Flight Control Example." IFAC Proceedings Volumes 37, no. 6 (June 2004): 487–92. http://dx.doi.org/10.1016/s1474-6670(17)32222-x.

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4

Nhu, Vu Huu. "Levenberg–Marquardt method for ill-posed inverse problems with possibly non-smooth forward mappings between Banach spaces." Inverse Problems 38, no. 1 (December 2, 2021): 015007. http://dx.doi.org/10.1088/1361-6420/ac38b7.

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Abstract In this paper, we consider a Levenberg–Marquardt method with general regularization terms that are uniformly convex on bounded sets to solve the ill-posed inverse problems in Banach spaces, where the forward mapping might not Gâteaux differentiable and the image space is unnecessarily reflexive. The method therefore extends the one proposed by Jin and Yang in (2016 Numer. Math. 133 655–684) for smooth inverse problem setting with globally uniformly convex regularization terms. We prove a novel convergence analysis of the proposed method under some standing assumptions, in particular, the generalized tangential cone condition and a compactness assumption. All these assumptions are fulfilled when investigating the identification of the heat source for semilinear elliptic boundary-value problems with a Robin boundary condition, a heat source acting on the boundary, and a possibly non-smooth nonlinearity. Therein, the Clarke subdifferential of the non-smooth nonlinearity is employed to construct the family of bounded operators that is a replacement for the non-existing Gâteaux derivative of the forward mapping. The efficiency of the proposed method is illustrated with a numerical example.
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5

Meyer, J. C., and D. J. Needham. "Aspects of Hadamard well-posedness for classes of non-Lipschitz semilinear parabolic partial differential equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 146, no. 4 (July 19, 2016): 777–832. http://dx.doi.org/10.1017/s0308210515000712.

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Анотація:
We study classical solutions of the Cauchy problem for a class of non-Lipschitz semilinear parabolic partial differential equations in one spatial dimension with sufficiently smooth initial data. When the nonlinearity is Lipschitz continuous, results concerning existence, uniqueness and continuous dependence on initial data are well established (see, for example, the texts of Friedman and Smoller and, in the context of the present paper, see also Meyer), as are the associated results concerning Hadamard well-posedness. We consider the situations when the nonlinearity is Hölder continuous and when the nonlinearity is upper Lipschitz continuous. Finally, we consider the situation when the nonlinearity is both Hölder continuous and upper Lipschitz continuous. In each case we focus upon the question of existence, uniqueness and continuous dependence on initial data, and thus upon aspects of Hadamard well-posedness.
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6

Hingyi, B., and J. Karátson. "Detection of dead cores for reaction-diffusion equations with a non-smooth nonlinearity." Applied Numerical Mathematics 177 (July 2022): 111–22. http://dx.doi.org/10.1016/j.apnum.2022.03.003.

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7

Bortolan, Matheus C., and Felipe Rivero. "Non-autonomous perturbations of a non-classical non-autonomous parabolic equation with subcritical nonlinearity." Applied Mathematics and Nonlinear Sciences 2, no. 1 (February 8, 2017): 31–60. http://dx.doi.org/10.21042/amns.2017.1.00004.

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Анотація:
AbstractIn this work we study the continuity of four different notions of asymptotic behavior for a family of non-autonomous non-classical parabolic equations given by$$\begin{array}{} \displaystyle \left\{ \begin{array}{*{20}{l}} {{u_t} - \gamma \left( t \right)\Delta {u_t} - \Delta u = {g_\varepsilon }\left( {t,u} \right),{\;\text{in}\;}\Omega } \hfill \\ {u = 0,{\;\text{on}\;}\partial \Omega {\rm{.}}} \hfill \\ \end{array}\right. \end{array}$$in a smooth bounded domain Ω ⊂ ℝn, n ⩾ 3, where the terms gε are a small perturbation, in some sense, of a function f that depends only on u.
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8

Takahashi, Futoshi. "Non-degeneracy of least-energy solutions for an elliptic problem with nearly critical nonlinearity." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140, no. 1 (February 2010): 203–22. http://dx.doi.org/10.1017/s0308210509000419.

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Анотація:
We consider the problem −Δu = c0K(x)upε, u > 0 in Ω, u = 0 on δΩ, where Ω is a smooth, bounded domain in ℝN, N ≥ 3, c0 = N(N − 2), pε = (N + 2)/(N − 2) − ε and K is a smooth, positive function on . We prove that least-energy solutions of the above problem are non-degenerate for small ε > 0 under some assumptions on the coefficient function K. This is a generalization of the recent result by Grossi for K ≡ 1, and needs precise estimates and a new argument.
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9

Barboza, Gustavo, Laura Gavinelli, Valerien Pede, Alice Mazzucchelli, and Angelo Di Gregorio. "A contribution to the empirics of food price behavior: the case of rice price dynamics in Italy." British Food Journal 123, no. 1 (September 3, 2020): 419–40. http://dx.doi.org/10.1108/bfj-12-2019-0937.

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Анотація:
PurposeThe purpose is to detect the nonlinearity wholesale rice price formation process in Italy in the 1995–2017 period.Design/methodology/approachA nonlinear smooth transition autoregressive (STAR)-type dynamics model is used.FindingsWholesale rice prices are significantly affected by variations in the international price of rice as well as variations in Arborio price.Research limitations/implicationsThe limitations include policy recommendations for the production and commercialization of rice in Italy.Practical implicationsUnderstanding rice pricing dynamics and nonlinearity behavior is pivotal for the survival of the entire European and Italian rice supply chain.Originality/valueIn the extant literature, no evidence exists on non-linearity of rice prices in Italy.
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10

Zhou, Wei, Ling Zhao, Xiao Lun Li, and Li Hong Lin. "Research on Backlash Nonlinearity in Servo Precision Drive System." Applied Mechanics and Materials 462-463 (November 2013): 815–19. http://dx.doi.org/10.4028/www.scientific.net/amm.462-463.815.

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Анотація:
Servo Precision Drive system is mainly composed of servo motor, mechanical transmission parts and control parts. Because of mutual coupling between various parts, particularly transmission system in mechanical coupling vibration in non-smooth transition, it will be of great harm to safe operation of the system. This paper is mainly from the perspective of backlash nonlinear characteristic and with simulation tool of Matlab/Simulink to analyze the influence of backlash on the precision of servo system, do hope the work above will have certain reference significance to actual engineering application.
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Більше джерел

Частини книг з теми "Non-smooth nonlinearity"

1

Jiffri, Shakir, and John E. Mottershead. "Nonlinear Control of an Aeroelastic System with a Non-smooth Structural Nonlinearity." In Mechanisms and Machine Science, 317–28. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09918-7_28.

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Тези доповідей конференцій з теми "Non-smooth nonlinearity"

1

Jiang, Xiaoai, and Alexander F. Vakakis. "Steady-State Dynamics of Smooth and Non-Smooth Systems With Strong Nonlinearities." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48587.

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Анотація:
The nonlinear energy sinks (NESs) with strong essential stiffness nonlinearities have been shown to result in vibration isolation in the studied system. In comparison, we also studied the steady-state dynamic response of a system with its smooth high-order odd nonlinearity replaced with the best fitted nonsmooth “clearance nonlinearity”. The analysis was based on the complexification technique and the separation of the dynamic terms into the “slow-varying” and the “fast-varying” components. We found that the steady-state behavior of a system with the non-smooth NES resembles that of the system with the smooth high-order nonlinearity, preserving the nonlinear energy-pumping feature. This finding paves the way for constructing practical NESs and applying them to practical vibration-isolation problems.
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2

Zentner, Irmela, and Fabrice Poirion. "Non-Smooth Modeling of Control Surfaces Featuring a Freeplay Nonlinearity in Aeroelasticity." In 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-2107.

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3

Chen, C. H., and S. D. Fassois. "On the estimation of stochastic Wiener-Hammerstein type systems with non-smooth nonlinearity." In Proceedings of 16th American CONTROL Conference. IEEE, 1997. http://dx.doi.org/10.1109/acc.1997.610751.

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4

Tan, Yonghong, and Xinhua Lei. "Identification of Dynamic Model with Non-smooth Nonlinearity for Macro-moving Stage in Ultra-precision Positioning System." In 2006 Chinese Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/chicc.2006.280593.

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5

Kim, Jihwan, and T. D. Burton. "Reduction of Structural Dynamics Models Having Nonlinear Damping." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/vib-48435.

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Анотація:
The purpose of this work has been to explore the suitability of significantly reduced order structural dynamics models for simulation of nonlinear response of structures. In this paper oscillator chains having nonlinear damping and linear stiffness are considered. Both non-smooth and smooth nonlinear damping will be discussed for the case of isolated nonlinear damping and for the case of many equal nonlinear damping elements distributed throughout the structure. Most of the results to be shown will address the accuracy with which significantly reduced order models (e.g., 5, 10 and 20 DOF reduced models of a 1,000 DOF system) simulate the free oscillation decay caused by the nonlinear damping. The model reduction employed utilizes an “exact-for-the-linear-case” linear state transformation to eliminate slave coordinates, yielding a reduced model containing only specified master degrees of freedom. The ultimate objective of this work is to develop efficient, sufficiently accurate models that can be integrated numerically to determine response of very large nonlinear structures in situations for which numerical integration over reasonably long times is needed. The results obtained here are promising: even drastically reduced models provide accurate simulation of the oscillation decay for both smooth and non-smooth nonlinearity.
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6

Schiavoni, M. "Some recent advances and applications in Distinct Element modelling of masonry structures." In AIMETA 2022. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902431-51.

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Анотація:
Abstract. In this paper, advanced numerical models are used to study the progressive damage of a historic building, namely the Palazzo of Podestà and the Civic Tower of Accumoli (central Italy). The dynamic behaviour of the structure is analyzed following important seismic events such as those that occurred in 2016-2017. Discontinuous and continuous approaches are used. In the formers, the masonry response is represented both with Discrete Element Method (DEM) and the Non-Smooth Contact Dynamic (NSCD) method; in the latter the masonry nonlinearity is replicated using the Concrete Damage Plasticity (CDP) model. The numerical results showed a good correspondence of all the approaches with the real damage suffered by the structure after the seismic sequence.
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7

Guo, Jian, Bin Yao, Jun Jiang, and Qingwei Chen. "Adaptive Robust Control for a Class of Nonlinear Uncertain System With Unknown Input Backlash." In ASME 2009 Dynamic Systems and Control Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/dscc2009-2656.

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Анотація:
An adaptive robust control (ARC) algorithm is developed for a class of nonlinear dynamic system with unknown input backlash, parametric uncertainties and uncertain disturbances. Due to the non-smooth dynamic nonlinear nature of backlash, existing robust adaptive control methods mainly focus on using approximate inversion of backlash by on-line parameter adaptation. But experimental results show that a linear controller alone can perform better than a controller including the selected backlash inverter with a correctly estimated or overestimated backlash gap. Unlike many existing control schemes, the backlash inverse is not constructed in this paper. A new linearly parameterized model for backlash is presented. The backlash nonlinearity is linearly parameterized globally with bounded model error. The proposed adaptive robust control law ensure that all closed-loop signals are bounded and achieves the tracking within the desired precision. Simulations results illustrate the performance of the ARC.
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8

Wu, Tzu Sung, and Mansour Karkoub. "Robust Anti-Swing Adaptive Fuzzy Tracking Control for Tower Crane Systems With Both Dead-Zone Band and Time-Delays Uncertainties." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51733.

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Анотація:
Complex mechanical systems, such as tower cranes, are known to be highly nonlinear, under-actuated, and non-colocated, which makes their closed-loop control very challenging. The interconnected components of these systems undergo complex dynamic phenomena, such as friction, which lead to energy or momentum transmission delays. The complexity of such systems is further complicated by external disturbances and nonlinearities resulting from using hydraulic and/or electrical actuators, mechanical joints, gears, etc., which result in the formation of dead-zones, backlash, and hysteresis. A dead-zone, which constitutes a significant non-smooth nonlinearity, severely limits the performance of many mechanical systems such as the tower crane. Previous works on the control of tower cranes were based on accurate determination of their actuated states. In this work, a robust control technique based on adaptive fuzzy theory is investigated for anti-swing and trajectory tracking of tower crane systems. The system is subject to uncertainties in parameter parameters, time delays, external disturbances, and unknown actuator nonlinearities. The unknown actuator nonlinearities, from the jib and tower motors, are characterized by dead-zone bands (as opposed to the typical crisp dead-zone functions). First, fuzzy logic systems with on-line adaptations are utilized to evaluate the unknown nonlinear functions. The proposed control scheme uses the H∞ control technique to develop compensators to overcome the effects of parameter variations, time delays, external disturbances, and unknown actuator dead-zone band nonlinearities. The proposed control scheme ensures the stability of the closed-loop system and achieves desired tracking precision such that the states of the tower crane system are ultimately uniformly bounded (UUB) and guarantees an H∞ norm bound constraint on disturbance attenuation for all admissible uncertainties based on the Lyapunov criterion. Simulation results show the validity of this approach for the tower crane system.
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9

Böttcher, Jonas, Marcus Neubauer, and Jörg Wallaschek. "Investigations on the Amplitude-Dependent Damping Behavior of Superelastic Shape Memory Alloys." In ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/smasis2012-8044.

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Анотація:
The nonlinear, hysteretic stress-strain characteristic of superelastic shape memory alloys (SMA) results in energy dissipation and therefore in high damping capacities. Due to the nonlinearity the damping capacity strongly depends on the amplitude of the applied excitation. In this work, a rheological non-smooth model is used to describe the principle behavior of superelastic SMA undergoing harmonic displacements. The equivalent mechanical model consists of a spring representing the elastic deformation of the superelastic SMA in austenitic and detwinned martensitic state. A friction element represents the stress plateaus for forward and backward transformation between austenitic and martensitic state. A constant force is applied to the system to generate an offset which shifts the hysteresis to positive force values. Two mechanical stops are implemented to describe the end of the stress plateaus and therefore correspond to the strain differences of the stress levels for forward and backward transformation. Thus, the system behavior is highly amplitude-dependent. A harmonic approximation of the force generated by the superelastic SMA element during one excitation period is calculated by applying the Harmonic Balance Method to the nonlinear force signal of the rheological model. In this context the Fourier coefficients are calculated by performing a piecewise integration of the force signal. The Integrals are being calculated for each steady interval. The equivalent stiffness and damping coefficients are given for this approximation as functions of excitation amplitude and the system parameters. Based on these results, the damping capacity of a superelastic shape memory element undergoing harmonic displacements is presented using an analytical expression for the damping ratio.
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10

Wang, Weimin, Huajin Shao, Xing Shao, and Kailiang Song. "Investigation on the Turbine Blade Tip Clearance Measurement and Active Clearance Control Based on Eddy Current Pulse-Trigger Method." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-63980.

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Анотація:
Blade tip clearance (BTC) measurement and active clearance control (ACC) have been and continue to be a fundamental concern in turbomachinery, which are closely bound up with the efficiency and reliability. This paper addresses the BTC measurement and ACC experimental study based on eddy current pulse-trigger method (ECPTM). And the implementation of ACC by axial displacement of the blisk is novel and this paper is the first to present the technique. The purpose of this paper is three fold. The first portion of this paper addresses the BTC measurement in different rotating speeds based on the larger scale rig, where a high-bandwidth (100 kHz) eddy current sensor (HECS) is employed. The results show that the relative errors of BTC values are not much bigger than 20%. The result indicates that ECPTM is more generally applicable in the condition where the eddy current sensor (ECS) is insufficient sampling caused by the limit of narrow bandwidth, especially under the high linear velocity condition. The second portion of this paper describes the ACC system where an electro-hydraulic proportional position control system (EHPPCS) is employed as the actuator. EHPPCS has the advantages of small size, fast response, resistance to load stiffness, large output and simple operation, which is widely applicable to the automatic control system of industrial power. This system optimizes the geometry shapes of casing and the blade tips to create a linear relationship of BTC values related to the axial displacement of the rotor. The BTC values can be transferred into axial displacement of the rotor, and then a voltage/current-BTC values characteristic can be obtained by employing EHPPCS in different rotating speeds. Unfortunately, one of the core components of EHPPCS is an overflow valve with a non-linear and time-variable voltage/current-pressure characteristic. Besides, the pressure-axial displacement characteristic of tilting pad thrust bearing is also non-linear. All those non-linear characteristics make it unsatisfactory to use the conventional PID control algorithm to achieve effective control of the system, which cause many difficulties in controlling of axial displacement of the rotor. So the last portion of this paper is the experimental study on ACC based on the above system by adopting sliding mode adaptive control of nonlinear system (SMACNS). The BTC values have been obtained under different outlet pressures by changing the current in different rotating speeds. The results indicate that this approach has nice robustness and smooth controlled quantity, and can overcome the difficulty caused by nonlinearity, parameter uncertainty and load disturbance. And then, the precision verification and error analysis are made. However, this work is a proof-of-concept demonstration using a laboratory setup providing the basis for BTC active control and blade health monitoring (BHM) based on ECS.
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