摘要
对温度场中周边简支圆板的轴对称非线性热弹耦合自由振动问题，运用伽辽金法求解， 得出一个关于时间的非线性常微分方程组，求出振幅随时间变化的数值解。将热弹耦合与非 热弹耦合情况进行对比，发现振幅较小时，热弹耦合效应使板的固有频率相对于无热弹耦合 情形提高：振幅较大时，热弹耦合效应使固有频率降低。本文还比较了不同热弹耦合参数对 应的振动情况。
The problem of the free vibration of simply supported circular plate when temperature field and strain field are coupled is studied in this paper.A system of nonlinear differential equation is obtained by Galerkin's method.The numerical results of coupled fields are compared with those of the uncoupled fields. It is found that if the given initial displacement is smaller, the fundamental frequency of circular plate in coupled case will be larger than that of the uncoupled case. If the given initial displacement is larger, the fundamental frequency of circular plate in coupled case will be smaller than that of the uncoupled case. Some effects of coupling coefficient on vibration are also discussed.
出处
《工程力学》
EI
CSCD
北大核心
2000年第2期97-101,9,共6页
Engineering Mechanics
基金
山西省归国留学人员科研基金
山西省自然科学基金!981006
关键词
非线性振动
热弹耦合
圆板
振动
nonlinear vibration
thermoelastic
circular plate
