【摘要】 针对工程实践中所遇到的撞击问题，研究分析了半无限线性粘弹性Ｗｉｎｋｌｅｒ基础上的矩形弹性薄板受低速刚体撞击的动力响应问题，推导出了关于撞击力Ｆ（ｔ）的非线性Ｖｏｌｅｒｒａ积分方程，得出了薄板位移响应Ｗ（ｘ，ｙ，ｔ）的一般表达式，并给出了求解计算的数值方法。作为应用实例，对四边简支弹性方薄板在中心受刚球撞击的问题进行了分析计算，并对结果进行了对比讨论。更多还原

【Abstract】 The dynamic response problem of a rectangular thin elastic plate on a halfspace viscoelastic Winkler foundation impacted by a low velocity rigid body is discussed,A non-linear Volterra integral equation on impact force F(t) is deduced, and the dynamic transverse deflection W(x, y,t) of the plate is put forward. To solve the integral equation, an effective numerical computation method is used. Af the end, the results of a practical example are shown and discussed.更多还原