Nonsmooth Mechanics, Bernard Brogliato

Автор: Leger Alain
Название: Qualitative Analysis of Nonsmooth Dynamics
ISBN: 1785480944 ISBN-13(EAN): 9781785480942
Издательство: Elsevier Science
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Описание:

Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction explores the effects of small and large deformations to understand how shocks, sliding, and stick phases affect the trajectories of mechanical systems. By analyzing these non-regularities successively this work explores the set of equilibria and properties of periodic solutions of elementary mechanical systems, where no classical results issued from the theory of ordinary differential equations are readily available, such as stability, continuation or approximation of solutions. The authors focus on unilateral contact in presence of Coulomb friction and show, in particular, how any regularization would greatly simplify the mathematics but lead to unacceptable physical responses.

Автор: Brogliato, Bernard
Название: Nonsmooth mechanics
ISBN: 1447111613 ISBN-13(EAN): 9781447111610
Издательство: Springer
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Цена: 28734.00 р.
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Описание: 1) f(x, t) 2: 0 where x E JRn is the system`s state vector, u E JRm is the vector of inputs, and the function f (-, . 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in put (or controller) that generally involves a state feedback loop, i.

Автор: Vincent Acary; Bernard Brogliato
Название: Numerical Methods for Nonsmooth Dynamical Systems
ISBN: 3642094643 ISBN-13(EAN): 9783642094644
Издательство: Springer
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Описание: This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses.

Автор: Vincent Acary; Olivier Bonnefon; Bernard Brogliato
Название: Nonsmooth Modeling and Simulation for Switched Circuits
ISBN: 9400733852 ISBN-13(EAN): 9789400733855
Издательство: Springer
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Описание: Complete with examples and simulation results, this volume explores the nonsmooth dynamical systems (NSDS) modeling approach, using piecewise-linear and multivalued models of electronic devices. Readers will find a comparison of SPICE and hybrid methods, which demonstrates the power of the NSDS approach.