Stability and chaotic motion in columns of nonlinear viscoelastic material

被引：0

作者：

Chen, LQ ^{[1
]}

Cheng, CJ

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

[2] Shanghai Univ, Dept Mech, Shanghai 201800, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2000年 / 21卷 / 09期

关键词：

stability; chaos; averaging method; Galerkin method; viscoelastic column;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamical stability of a homogeneous, simple supported column, subjected to a periodic axial force, is investigated. The viscoelastic material is assumed to obey the Leaderman nonlinear constitutive relation. The equation of motion was derived as a nonlinear integro-partial-differential equation, and was simplified into a nonlinear integro-differential equation by the Galerkin method. The averaging method was employed to carry out the stability analysis. Numerical results are presented to compare with the analytical ones. Numerical results also indicate that chaotic motion appears.

引用

页码：987 / 994

页数：8

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