线粘弹地基上粘弹圆板在动荷下的挠度计算方法

A General Solution for the Vibration of Viscoelastic Circular Plato Rested on the Viscoelastic Foundation

本文利用振型迭加法，从Ｗｉｎｋｌｅｒ粘弹地基上粘弹薄板的动力学方程出发，板和地基材料是用广义Ｍａｘｗｅｌｌ模型表示的三单元线粘弹性体，直接导出了动挠度在时间域中的解析表达式。最后结合Ｌａｐｌａｃｅ数值反演技术，给出了算例和结果讨论。从而在理论上探讨了粘弹板——地系统的动力性态，揭示了其动力学行为。

n this paper, the Eigenfunction expansions is used to obtain accurate solution for the vibration of viscoelastic circular plate rested on the winkler viscoelastic foundation,the solution is based on a linearly viscoelastic material represented by a three-element model of the generalized Maxwell model with Laplace transform techniques. At last, we have discussed some properties of viscoelastic plate-foundation and the pavement structures.