轴对称热载作用厚板的热弹性运动效应分析

对板的上下表面存在一般温度边界条件的情况，解出了板表面受轴对称热辐射作用时，板内轴对称二维瞬态温度场的一般表达式；导出了厚板的热弯曲运动和热平面运动的位移型动力学方程，得出了板的挠度、转角和平面径向位移的无穷积分型公式；提出了一个求解弯曲波传播速度的方法；然后完成了一个代表性算例分析，给出了弯曲波传播规律的直观图象，得出了热加载和热卸载过程中，板内热弯曲波的时空变化特点；找出了剪切变形和旋转惯性对弯曲波传播速度的影响规律；最后，将理论结果与相应的实验结果进行了比较，两者吻合良好。

ANALYSIS OFTHERMOELASTIC MOTION IN AXIALLY SYMMETRICTHERMO-LOADED THICK PLATE

A general formula of axially symmetric transient temperature field in the plate with axially symmetric thermal deposit and the general boundary conditions of temperature on both surfaces of the plate is presented.The dynamic equations in terms of displacement for thermal bending and plane motion of a thick plate are deduced on the basis of thermoelastic theory and in consideration of the effects of rotary inertia and shearing deformation. The expressions of deflection ,rotating angle,and plane radial displacement of the plate are obtained with the help of mathematical transformation.The influence of the effects of rotary inertia and shearing deformation on the propagating velocity of bending waves in the thick plate are shown through the calculated results by one typical case. These results are in good accord with the experimental results.