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

Alain Léger

ISBN 10: 1785480944 / ISBN 13: 9781785480942

Editore: Elsevier Science & Technology, ISTE Press - Elsevier, 2016

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Codice articolo 9781785480942

Dati bibliografici

• Titolo: Qualitative Analysis of Nonsmooth Dynamics : A Simple Discrete System with Unilateral Contact and Coulomb Friction
• Editore: Elsevier Science & Technology, ISTE Press - Elsevier
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1785480944
• ISBN 13: 9781785480942
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 229 L x 152 A x 14 P (millimetri) 229 millimetri di larghezza per 152 millimetri di altezza per 14 millimetri di profondità
• Peso: 482 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.