双温度广义热弹问题的一维动态响应

One-dimensional dynamic response of two-temperature generalized thermoelastic problem

基于双温度广义热弹性理论,研究了有限长杆的热弹动态响应问题.杆两端固定,受移动热源作用.给出了双温度广义热弹性理论下问题的控制方程,并借助拉普拉斯积分变换及其数值反变换对控制方程进行求解.经计算,得到了杆内无量纲应力、位移、传导温度、热力学温度随时间和移动热源速度的变化规律.结果表明,杆中的无量纲应力、位移、传导温度、热力学温度随热源速度的增大而减小.

The thermoelastic dynamic response problem of a rod with finite length is investigated on the basis of two-temperature generalized thermoelastic theory. The rod is fixed at both ends and subjected to a moving heat source. The governing equations of this problem are given and solved by means of Laplace transform as well as its numerical inversion. Through calculation, the variation patterns of the non-dimen- sional stress, displacement, conductive temperature and thermodynamic temperature in the rod are ob- tained. The results show that the non-dimensional stress, displacement, conductive temperature and ther- modynamic temperature will decrease with the velocity of the moving heat source.