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Qualitative Analysis of Nonsmooth Dynamics: A Simple Discrete System with Unilateral Contact and Coulomb Friction

Qualitative Analysis of Nonsmooth Dynamics

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"Qualitative Analysis of Nonsmooth Dynamics" by Alain Léger, Elaine Pratt is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

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.

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Best For: Students and researchers in mechanical engineering and applied physics focusing on dynamics.
Focus: Examines the impact of unilateral contact and Coulomb friction on mechanical system trajectories through qualitative analysis.
Covers: Effects of shocks, sliding, and stick phases on equilibria and periodic solutions in discrete mechanical systems.
Why It Matters: Provides insight into nonsmooth dynamics where classical smooth system results do not apply, aiding understanding of real-world mechanical behavior.

"Qualitative Analysis of Nonsmooth Dynamics" by Alain Léger, Elaine Pratt is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

Topic: Dynamics

Author: Alain Léger, Elaine Pratt

Who this is for:

  • Physics students
  • Science-minded readers
  • Readers building technical understanding

Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.

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.

AuthorAlain Léger, Elaine Pratt
PublisherISTE Press - Elsevier
Published2016-04-04
ISBN-139781785480942
BindingHardcover
LanguageEnglish
SubjectsTechnology & Engineering
TopicDynamics

Format: Hardcover

Language: English

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