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本文根据余能原理研究了 Ｒｅｉｓｓｎｅｒ理论和板三变量广义位移原理在厚板动力分 析中的应用，明确了两个理论之间的关系 并在此基础上提出了一个计算厚板动力特 性的新方法，同时还推出了计算四边简支厚板自振特性的精确解公式．最后对厚板自 振特性的几种计算方法进行了讨论，并在此基础上提出了行之有效的简化计算方法． 文后，列举了计算例题，证明了此方法的有效性．
Based on the principle of residual energy, this paper studies the application of the Reissner theory and plate three-variable generalized displacement principle in the dynamic analysis of thick plates, and clarifies the relationship between the two theories and proposes a new method for calculating the dynamic characteristics of thick plates. At the same time, it also introduced the exact solution formula for calculating the natural vibration characteristics of a simply supported plate with four sides. Finally, several calculation methods for the vibration characteristics of slabs are discussed, and on this basis, an effective simplified calculation method is proposed. In the text, examples of calculations are listed and the effectiveness of this method is proved.