Dynamics and Bifurcations of Non-Smooth Mechanical Systems

• Main Authors: Leine, Remco I. (Author, http://id.loc.gov/vocabulary/relators/aut), Nijmeijer, Henk (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Applied and Computational Mechanics, 18
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Vibration.; Dynamical systems.; Dynamics.; Statistical physics.; Ergodic theory.; Applied mathematics.; Engineering mathematics.; Mechanical engineering.; Analysis.; Vibration, Dynamical Systems, Control.; Complex Systems.; Dynamical Systems and Ergodic Theory.; Mathematical and Computational Engineering.; Mechanical Engineering.

This monograph combines the knowledge of both the field of Nonlinear Dynamcis and Non-smooth Mechanics and presents a framework for a class of non-smooth mechanical systems using techniques from both fields. During the last decades, the Non-smooth Mechanics community has developed a formulation of n...

Table of Contents:

• 1 Introduction
• 2 Preliminaries on Non-smooth Analysis
• 3 Differential Inclusions
• 4 Modelling of Dry Friction
• 5 Mechanical Systems with Set-valued Force-laws
• 6 Numerical Integration Methods
• 7 Fundamental Solution Matrix
• 8 Bifurcations of Equilibria in Non-smooth Continuous Systems
• 9 Bifurcations of Periodic Solutions
• 10 Concluding Remarks
• References.