受移动热源作用的两端固定杆的广义热-弹耦合问题  

GENERALIZED THERMOELASTIC COUPLED PROBLEM OF A ROD FIXED AT BOTH ENDS AND SUBJECTED TO A MOVING HEAT SOURCE

作　　者：何天虎[1] 曹丽[1] 周又和[1] 

机构地区：[1]兰州大学力学系,甘肃兰州730000

出　　处：《工程力学》2008年第5期22-26,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(10602021;10472039);中国博士后科学基金项目(20060400209)

摘　　要：基于带有一个热松弛时间的Lord-Shulman广义热弹性理论,研究了受移动热源作用的两端固定的均质各向同性杆的热-弹动态响应。该文给出了杆的广义热-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对控制方程进行了求解。计算得到了杆内温度、应力及位移的分布规律,从其分布图上可以看出,温度、应力及位移随移动热源速度的增大而减小。Based on the Lord and Shulman generalized thermo-elastic theory with one relaxation time, the dynamic thermal and elastic responses of an isotropic rod fixed at both ends and subjected to a moving heat source are investigated. The generalized thermoelastic coupled governing equations for the rod are formulated. By means of Laplace transformation and numerical Laplace inversion, the governing equations are solved. The numerical calculation for the stress, displacement and temperature within the rod is carried out and displayed graphically. The effect of moving heat source speed on the temperature, stress and temperature is studied. It is found from the distributions that the temperature, thermally induced displacement and stress of the rod are found to decrease at large source speed.

关 键 词：热松弛时间 广义热弹性理论 热-弹耦合 拉普拉斯积分变换 双曲线型热传导 

分 类 号：O343.6[理学—固体力学]