Study on Lyapunov Exponential Spectrum Calculation Method of Nonlinear Characteristics of a Class of an Impact Damper

Author

Hui-ming, Yao ; Shu-Hua, Zhang ; Shu-jun, Yu ; Yu, Fang ; Jian, Yang

Author_Institution

Coll. of Urban Railway Transp., Shanghai Univ. of Eng. Sci., Shanghai, China

Volume

3

fYear

2009

fDate

21-22 May 2009

Firstpage

394

Lastpage

397

Abstract

The global parameters-varying rules of the Lyapunov exponential spectrum on this system are analyzed by numerical simulations in this paper. The calculation method of Lyapunov exponential spectrum on a class of an impact damper vibration system is discussed by theoretical analysis and numerical calculation. Comparing the Lyapunov exponential spectrum diagram with the global bifurcation diagram, the validity and feasibility of this method of analyzing system stability using the Lyapunov exponential spectrum diagram is verified. Some nonlinear characteristics under relevant parameters of the impact damper are also given in the paper.

Keywords

Lyapunov methods; nonlinear control systems; numerical analysis; shock absorbers; stability; vibration control; Lyapunov exponential spectrum calculation method; global bifurcation diagram; global parameters-varying rules; impact damper vibration system; nonlinear characteristics; numerical simulations; Automotive engineering; Bifurcation; Chaos; Damping; Educational institutions; Numerical simulation; Oscillators; Rail transportation; Railway engineering; Shock absorbers; Lyapunov exponential spectrum; calculation method; chaos; global bifurcation; impact damper; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Information and Computing Science, 2009. ICIC '09. Second International Conference on

Conference_Location

Manchester

Print_ISBN

978-0-7695-3634-7

Type

conf

DOI

10.1109/ICIC.2009.305

Filename

5168888