Dynamics and bifurcations of non-smooth mechancial systems

書誌事項

Dynamics and bifurcations of non-smooth mechancial systems

Remco I. Leine, Henk Nijmeijer

(Lecture notes in applied and computational mechanics, v. 18)

Springer, 2006, c2004

Corr. print. 2006

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注記

Bibliography: p. [225]-232

Includes index

1st ed. 2004, corrected printing 2006

"correcting many minor typographical errors and one error of substance", "the proof of Lemma 2.17 has been rewritten" -- pref. to the 2nd print

内容説明・目次

内容説明

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.

目次

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.

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