Subharmonic and ultra-subharmonic response of nonlinear elastic beams subjected to harmonic excitation

被引：0

作者：

Zhang, NM ^{[1
]}

Yang, GT ^{[1
]}

机构：

[1] Taiyuan Univ, Inst Appl Mech, Taiyuan 030024, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1999年 / 20卷 / 12期

关键词：

nonlinear; dynamic system; bifurcation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the dynamics response of beams subjected to transverse harmonic excitation is studied. The nonlinearity of constitutive relations of the beam material is considered. When the buckled beams compressed by axial forces are subjected to transverse period perturbation, the harmonic bifurcates into subharmonic and ultra-subharmonic sequences. The critical conditions for subharmonic and ultra-subharmonic orbits are determined by use of Melnikov method.

引用

页码：1319 / 1323

页数：5

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