On the analysis of Hopf bifurcation associated with a two-fold zero eigenvalue, Part 2: Nonautonomous system

被引：2

作者：

Moh'd, M ^{[1
]}

Huseyin, K ^{[1
]}

机构：

[1] Eastern Mediterranean Univ, Dept Civil Engn, Mersin 10, Turkey

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1999年 / 121卷 / 01期

关键词：

D O I：

10.1115/1.2893935

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper extends the bifurcation and stability analysis of the autonomous system considered in Part 1 to the case of a corresponding nonautonomous system. The effect of an external harmonic excitation on the Hopf bifurcation is studied via a modified Intrinsic Harmonic Balancing technique. It is observed that a shift in the critical value of the parameter occurs due to the external excitation. The analysis is carried out with the aid of MAPLE which is also instrumental in verifying the consistency of the approximations conveniently.

引用

页码：105 / 109

页数：5

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