Vibration analysis of a self-excited system with parametric forcing and nonlinear stiffness

被引：16

作者：

Litak, G ^{[1
]}

Spuz-Szpos, G ^{[1
]}

Szabelski, K ^{[1
]}

Warminski, J ^{[1
]}

机构：

[1] Tech Univ Lublin, Dept Mech, PL-20618 Lublin, Poland

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1999年 / 9卷 / 03期

关键词：

D O I：

10.1142/S021812749900033X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Vibrations of a self-excited oscillator under parametric excitation with nonlinear stiffness were investigated in this paper. Differential equation of motion includes van der Pol, Mathieu and Duffing terms. Vibrations synchronization, stability of solutions were examined by means of the multiple time scale method and Floquet theory. Chaotic solutions were found by means of Lyapunov exponent.

引用

页码：493 / 504

页数：12

共 16 条

[1]

[Anonymous], 1996, P EUROMECH 2 EUR NON, P23

[2]

[Anonymous], 2012, Practical numerical algorithms for chaotic systems

[3] A PERTURBATION METHOD FOR THE ANALYSIS OF VIBRATIONS AND BIFURCATIONS ASSOCIATED WITH NONAUTONOMOUS SYSTEMS .1. NONRESONANCE CASE [J].