PARAMETRIC EXCITATION WITH AN ASYMMETRIC CHARACTERISTIC IN A SELF-EXCITING SYSTEM. (1ST REPORT, BEHAVIORS OF REGION OF RESONANCE OF ORDER 1/2).

被引：3

作者：

Yano, Sumio ^{[1
]}

Kotera, Tadashi ^{[1
]}

Hiramatsu, Tsutomu ^{[1
]}

机构：

[1] Fukui Univ, Fukui, Jpn, Fukui Univ, Fukui, Jpn

来源：

Bulletin of the JSME | 1986年 / 29卷 / 249期

关键词：

EQUATIONS OF MOTION;

D O I：

10.1299/jsme1958.29.902

中图分类号：

学科分类号：

摘要：

Behaviors of a self-exciting system of van der Pol type subjected to a parametric excitation are investigated. In the present paper the parametric excitation is expressed by the product of a nonlinear function of deflection with an asymmetric characteristic and a periodic function of time. A resonance of order 1/2 and the solution in the neighborhood of the resonance are obtained by the averaging method and the effects of nonlinearity are investigated. Since a squared nonlinearity merely makes the resonance have a constant component, it is found that a cubic nonlinearity plays a more important part in the occurrence of the resonance.

引用

页码：902 / 907

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