弹性半空间地基上的矩形板

The Rectangular Plates on Elastic Half-space Foundation

分析和计算了弹性半空间地基上四边自由矩形板的动力和静力问题。把地基看作三维弹性半空间体，考虑地基的衰减变形，假定地基与板之间完全粘着摩擦接触，用能量变分原理导出了一般方程，并作了数值算例，还分析了相对刚度对动力和静力性能的影响。

In this paper,the dynamics and the statics of the rectangular plate with free edges on the elastichalf-space foundation have been calculated and analysed. The earth foundation is regared as three-di-mensional half-space elastic solid.Considering the decline deformation of the foundation and supposingthe cohesive friction touch between the plate and the foundation,the dynamic and the static general e-quations are drived by the energy method. The numerical results are worked out and the effects of therelative stiffness between the plate and the foundation are analysed.