The paper presents a solution to the dynamic response of three-layered, annular plates that are thermo-mechanically loaded. Time-dependent forces are considered to act on the facings of the plate. The thermal loading is defined by a flat, axisymmetric temperature field whose profile is expressed by the stationary or increase in time temperature differences between the plate edges. The cases of the plates loaded only thermally or mechanically have been examined. The problem has been solved analytically and numerically using the approximation methods: orthogonalization and finite difference. The selected reactions of an exemplar plate have been compared with the results obtained for the plate analyzed by the finite element method (FEM). The critical temperature differences and critical loads and corresponding dynamic buckling modes have been analyzed in detail. The numerous results presented for the dynamic responses have an important and practical meaning in the design process of plate structures subjected to complex thermo-mechanical loads.

中文翻译：

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时变温度场中三层环形板的动态响应

本文提出了一种解决热机械负载的三层环形板的动态响应的方法。与时间相关的力被认为作用在板的表面上。热载荷由平坦的轴对称温度场定义，其分布由板边缘之间的稳定或随时间增加的温差表示。已经检查了仅热加载或机械加载的板的情况。该问题已使用近似方法以解析和数值方式解决：正交化和有限差分。示例板的选定反应已与通过有限元法 (FEM) 分析的板获得的结果进行了比较。详细分析了临界温差和临界载荷以及相应的动态屈曲模式。针对动态响应提出的众多结果在承受复杂热机械载荷的板结构设计过程中具有重要和实际意义。