Analysis of chaos and bifurcation of clamped thin circular elastic plate in coupling field

被引：0
|
作者：
Yang Y. [1 ]
Bai X. [1 ]
机构：
[1] Department of Civil Engineering and Mechanics, Yanshan University
来源：
Yingyong Jichu yu Gongcheng Kexue Xuebao/Journal of Basic Science and Engineering | 2010年 / 18卷 / 01期
关键词：
Bifurcation; Chaos; Clamped edges; Elastic thin circular plate; Mechanical-electric coupling;
D O I：
10.3969/j.issn.1005-0930.2010.01.018
中图分类号：
学科分类号：
摘要：
Based on the nonlinear electro-magneto and mechanical coupling field equations of the thin circular elastic plate. The equations of the thin circular elastic plate with clamped edges under the action of uniform transverse magnetic field, together with a circulating electric current, and conventional uniform distributive force were obtained. Then the dynamic stress problem numerically using the forth order Runge-Kutta method were solved. By taking the magnetic field and electric current as bifurcation parameters, as they passing some critical values the state of system stress might change from periodic to chaos, which could be determined by the bifurcation diagram and the Lyaponov exponent diagram. By some examples, the wave diagram of displacement, phase diagram and Poincare map were derived. The influences of magnetic field and electrical on vibration properties of the system equations were analyzed. According to change the parameters of the magnetic field and electric current, the dynamic behavior of the thin circular elastic plate could be controlled.
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页码：158 / 167
页数：9
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