Dynamics and Bifurcations of Non-Smooth Mechanical Systems

• Κύριοι συγγραφείς: Leine, Remco I. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Nijmeijer, Henk (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Έκδοση: 1st ed. 2004.
• Σειρά: Lecture Notes in Applied and Computational Mechanics, 18
• Θέματα: 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 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. 

 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.