DYNAMICS OF A WEAKLY NONLINEAR-SYSTEM SUBJECTED TO COMBINED PARAMETRIC AND EXTERNAL EXCITATION

被引：48

作者：

YAGASAKI, K ^{[1
]}

SAKATA, M ^{[1
]}

KIMURA, K ^{[1
]}

机构：

[1] TOKYO INST TECHNOL, DEPT MECH ENGN SCI, MEGURO KU, TOKYO 152, JAPAN

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1990年 / 57卷 / 01期

关键词：

D O I：

10.1115/1.2888306

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper we study the dynamics of a weakly nonlinear single-degree-of-freedom system subjected to combined parametric and external excitation. The averaging method is used to establish the existence of invariant tori and analyze their stability. Furthermore, by applying the Melnikov technique to the average system it is shown that there exist transverse homoclinic orbits resulting in chaotic dynamics. Numerical simulation results are also given to demonstrate the theoretical results. © 1990 by ASME.

引用

页码：209 / 217

页数：9

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