Dynamics and Bifurcations of Non-Smooth Mechanical Systems

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 non-smoth systems, the mathematical prerequisites (Convex Analysis) as well as dedicated numerical algorithms. "Dynamics and Bifurcations of Non-smooth Mechanical Systems" presents these developments in a comprehensive way and opens the field to the Nonlinear Dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

List 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.

Summary

This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

Product details

• Authors: Remco Leine, Remco I Leine, Remco I. Leine, Henk Nijmeijer
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 11.10.2010
• EAN: 9783642060298
• ISBN: 978-3-642-06029-8
• No. of pages: 236
• Illustrations: XII, 236 p.
• Series: Lecture Notes in Applied and Computational Mechanics; Lecture Notes in Applied and Computational Mechanics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Analysis, C, Vibration, engineering, Dynamics, Complex systems, Mathematical and Computational Engineering, Mechanical Engineering, Mechanics of solids, Dynamical Systems and Ergodic Theory, Ergodic theory, Nonlinear science, Dynamical systems, Engineering mathematics, Applied mathematics, Mathematical and Computational Engineering Applications, Maths for engineers, Analysis (Mathematics), Mathematical analysis, Dynamics & statics, Statistical physics, Vibration, Dynamical Systems, Control, Multibody Systems and Mechanical Vibrations