On a class of non-smooth oscillators

Ciprian D. Coman

doi:10.1080/14689360210160869

On a class of non-smooth oscillators

Ciprian D. Coman

University of Exeter

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1 Citation (Scopus)

Abstract

The aim of this paper is to provide a unifying framework for several models of non-smooth oscillators with hysteresis which have attracted considerable interest in the engineering literature over the past three decades. By using the theory of maximal monotone operators in conjunction with a relatively recent result of Haraux and Ôtani (1990, Journal of the Mathematical Society of Japan, 42: 277-294) we are able to characterize the attractors of these systems; in particular, it is shown that the study of their bounded orbits lies at the heart of understanding their possible dynamics. The interplay between material nonlinearity and viscous damping is analysed for a special case of the original model and some new features of this problem are revealed.

Original language	English
Pages (from-to)	1-22
Number of pages	22
Journal	Dynamical Systems
Volume	18
Issue number	1
DOIs	https://doi.org/10.1080/14689360210160869
Publication status	Published - 1 Mar 2003
Externally published	Yes

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AB - The aim of this paper is to provide a unifying framework for several models of non-smooth oscillators with hysteresis which have attracted considerable interest in the engineering literature over the past three decades. By using the theory of maximal monotone operators in conjunction with a relatively recent result of Haraux and Ôtani (1990, Journal of the Mathematical Society of Japan, 42: 277-294) we are able to characterize the attractors of these systems; in particular, it is shown that the study of their bounded orbits lies at the heart of understanding their possible dynamics. The interplay between material nonlinearity and viscous damping is analysed for a special case of the original model and some new features of this problem are revealed.

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On a class of non-smooth oscillators

Abstract

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