无限长旋转圆柱体的广义热弹耦合问题  

Generalized thermoelastic coupling problem with rotating infinitely long cylinders

作　　者：何天虎[1] 关明智[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2009年第1期168-172,共5页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(10602021);中国博士后科学基金(20060400209)

摘　　要：应用Lord和Shulman(L-S)广义热弹性理论,研究无限长旋转圆柱体的热弹耦合问题.建立L-S型广义的热弹耦合的控制方程,借助拉普拉斯积分变换及其数值反变换技术对问题进行求解,得到瞬态热冲击作用下无限长旋转圆柱体中的温度、应力、位移的分布规律.从其分布图上可以看出,介质中呈现出热的波动性和热弹耦合效应,由于旋转效应,位移、应力的幅值有明显提高,而旋转对温度几乎没有影响.Based on Lord and Shulman＇s （L-S） generalized thermoelastic theory, a thermoelastic coupling problem with rotating infinitely long cylinders was studied in this paper. The governing equations of L-S type generalized thermoelastic coupling were established and solved by means of Laplace transform and numerical Laplace inversion. The distribution patterns of temperature, stress and displacement in the rota- ting infinitely long cylinder subjected to transient thermal shock were obtained. It was found from their distribution diagrams that the heat wave effect and thermoelastic coupling effects were revealed in the medium. And it also could be found that, due to the rotation, the amplitude of displacement and stress were remarkably increased and there bad almost no influence of the rotation on temperature.

关 键 词：圆柱体 广义热弹性理论 热弹耦合 旋转效应 

分 类 号：O343[理学—固体力学]