摘要
对温度场与与应力场耦合时的圆柱壳的非线性热弹耦合的振动问题,推导得到了基本的振动方程,热传导方程和协调方程,对短圆柱壳运用伽辽金(Galerkin)法求解,得出振幅随时间变化的数值解,得到一些有价值的结论· 即随着温度幅值和耦合系数的增大,振动衰减的速度变缓,热弹耦合效应减弱· 随着长径比、长厚比的增大,振幅衰减的速度变快,同时热振动频率也随之增大,即热弹耦合效应增强· 耦合系数越大,轴向应力。
The governing equation and energy equations for thermal-elastic coupling vibration of cylindrical shell were developed. The Garlerkin method was used in numerical process. Some useful result can be concluded from numerical result. With the increase of the amplitude of temperature and coupling coefficient, the speed of vibration decaying becomes slower and the coupling effect becomes weaker. The larger the ration of length to radius and length to thickness, the faster the decaying of the vibration amplitude and the vibration frequency increase. It means the coupling effect gets stronger. The larger the coupling coefficient, the smaller the axial stress, the axial force and the bendind moment are.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第9期910-916,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10372067)
山西省自然科学基金资助项目(20021004)
关键词
圆柱壳
热弹耦合振动
伽辽金法
cylindrical shell
thermal-elastic coupled vibration
Garlerkin method
