CHAOTIC VIBRATION IN A NONLINEAR OSCILLATOR WITH COULOMB DAMPING

被引：33

作者：

NARAYANAN, S

JAYARAMAN, K

机构：

[1] Machine Dynamics Laboratory, Department of Applied Mechanics, Indian Institute of Technology, Madras

来源：

JOURNAL OF SOUND AND VIBRATION | 1991年 / 146卷 / 01期

关键词：

D O I：

10.1016/0022-460X(91)90520-T

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Chaotic vibrations of a harmonically excited non-linear oscillator with Coulomb damping are investigated by numerical solution in a range of excitation frequencies. Phase plane diagrams, Poincaré maps and time histories are obtained with the Poincaré maps exhibiting strange attractor behaviour. Lyapunov exponents are computed and for chaos one of them is positive. A period doubling route to chaos is observed in certain frequency ranges, which is explained by a harmonic balance analysis. © 1991.

引用

页码：17 / 31

页数：15

共 17 条

[1] CHAOS IN SIMPLE MECHANICAL SYSTEMS WITH FRICTION [J].