中文摘要：

基于热粘弹性理论、Von Karman板理论和连续损伤力学，导出了二维状态下各向同性材料的变温粘弹性本构方程，建立了含损伤效应的各向同性粘弹性矩形板在变温场中的非线性运动控制方程，且应用有限差分法对问题进行求解。算例中，讨论了损伤演化及温度场等因素对粘弹性矩形板非线性动力学行为的影响，得出一些有意义的结论。

英文摘要：

Based on the theory of thermo-viscoelasticity, Von Karman theory of plate and continuum damage mechanics, the viscoelastic constitutive equation of isotropic material with varied temperature is derived in two-dimensional space. And the nonlinear dynamics equations of viscoelastic isotropic rectangular plate with damage under the varied temperature field are established. Then,the problem is solved by using the finite difference method. Using the numerical calculation,the effects of the damage evolution and varied temperature field on the nonlinear dynamic behaviors of the viscoelastic rectangular plates are investigated and some important conclusions are obtained.