静刚性分布的动力荷载下半空间的动力响应

Dynamic Responses of an Elastic Half Space under Dynamic Loading of Static Rigid Distribution

对静刚性分布的动力荷载作用下均质弹性半空间的位移进行研究，用Cagniard－DeHoop方法首次求出了半空间轴线上各点垂直位移的精确解析表达式．由于刚体与半空间的动态接触问题的接触应力可近似为静刚性分布，所以得到的解答对工程实践具有一定的意义．

In this paper the inner displacement of an elastic half space under dynamic loading is studied. The exact analytical solution for the vertical displacement along the axis of an elastic half space under dynamic loading of static rigid distribution is obtained by using Cagniard-De Hoop method. Because contact stress between rigid body and an elastic half space is similar to that of static rigid distribution, the solution of this paper is of some significance both to engineermg practice and to the study of dynamic half space theory.