๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Non-linear dynamics of multiple friction oscillators

โœ Scribed by Ugo Galvanetto

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
728 KB
Volume
178
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper deals with the dynamics of multiple friction oscillators. In some particular cases, when the driving velocity is small, the dynamics of the systems can be described by low-dimensional discrete maps which allow all existing attractors and their basins of attraction to be detected. Moreover the maps allow the relevant Lyapunov exponents to be computed and the classical path following techniques to be applied. The complex dynamics of the systems is clearly illustrated.

๐Ÿ“œ SIMILAR VOLUMES

Computational techniques for nonlinear d
Computational techniques for nonlinear dynamics in multiple friction oscillators
โœ Ugo Galvanetto; Steven R. Bishop ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 869 KB

This paper presents some numerical techniques used to investigate the nonlinear dynamics of a class of mechanical systems affected by dry friction forces. They allow for the exact detection of the points which separate slip phases from stick phases, m this way the correct dynamic equations are integ

PERIODIC SOLUTIONS OF STRONGLY NON-LINEA
PERIODIC SOLUTIONS OF STRONGLY NON-LINEAR OSCILLATORS BY THE MULTIPLE SCALES METHOD
โœ F. LAKRAD; M. BELHAQ ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 339 KB

The multiple scales method, developed for the systems with small non-linearities, is extended to the case of strongly non-linear self-excited systems. Two types of nonlinearities are considered: quadratic and cubic. The solutions are expressed in terms of Jacobian elliptic functions. Higher order ap