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Dynamics and bifurcations of non-smooth mechanical systems /

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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...

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Bibliographic Details
Main Author: Leine, Remco I.
Corporate Author: SpringerLink (Online service)
Other Authors: Nijmeijer, H. (Hendrik), 1955-
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [2004]
Series:Lecture notes in applied and computational mechanics ; 18.
Subjects:
Mechanics, Applied > Mathematical models.
Bifurcation theory.
Differentiable dynamical systems.
Nichtglatte Mechanik > Nichtlineare Dynamik.
Nichtlineare Dynamik > Nichtglatte Mechanik.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Introduction
  • 2. Reliminaries on non-smooth analysis
  • 3. Differential inclusion
  • 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.