Qualitative Analysis of Nonsmooth Dynamics

Alain Léger

ISBN 10: 1785480944 / ISBN 13: 9781785480942

Published by Elsevier Science & Technology, ISTE Press - Elsevier, 2016

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. Englisch.

Seller Inventory # 9781785480942

Bibliographic Details

• Title: Qualitative Analysis of Nonsmooth Dynamics
• Publisher: Elsevier Science & Technology, ISTE Press - Elsevier
• Publication Date: 2016
• Language: English
• ISBN 10: 1785480944
• ISBN 13: 9781785480942
• Binding: Buch
• Condition: Neu
• Dimensions: 152W x 93H x 6D millimeters 152 millimeters width by 93 millimeters height by 6 millimeters depth
• Weight: 482 grams

About this title

Synopsis

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.

About the Author

Alain Leger received his PhDs in Mathematics and Sciences from the University Pierre et Marie Curie, Paris. He held positions as research engineer and senior research at EDF and CNRS respectively. He is the co-manager of the International Scientific Coordination Network of 'Wave Propagation in Complex Media' His research areas lie in the mechanics of solids and structure, unilateral problems within the dynamics of discrete systems, bifurication theory and wave propagation in complex media.