CHAOTIC MOTION OF AN ELASTIC-PLASTIC BEAM.

被引：0

作者：

Poddar, B. ^{[1
]}

Moon, F.C. ^{[1
]}

Mukherjee, S. ^{[1
]}

机构：

[1] Univ of Miami, Coral Gables, FL, USA, Univ of Miami, Coral Gables, FL, USA

来源：

Journal of Applied Mechanics, Transactions ASME | 1988年 / 55卷 / 01期

关键词：

KINEMATICS - MATHEMATICAL TECHNIQUES - Differential Equations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A numerical study is presented here which suggests that chaotic motion is possible from periodic excitation of an elastic-plastic beam. Poincare maps of the motion reveal a fractal-like structure of the attractor. The results suggest that geometric and material nonlinearities in solid mechanics problems may lead to extreme sensitivity to small changes in parameters and resulting unpredictability. These results may explain the total disagreement of nine finite element codes in the analysis of the transient response of an elastic-plastic beam, that has been reported recently by Symonds and his coworkers.

引用

页码：185 / 189