首先用弹性动力学Ｂｅｔｔｉ－Ｒａｙｌｅｉｇｈ互易定理证明并建立了处理运动负荷作用下结构动力响应的广义Ｄｕｈａｍｅｌ积分表示式，把运动荷载问题转化为求解位移脉冲响应函数，然后利用Ｌａｐｌａｃｅ变换和Ｈａｎｋｅｌ变换求得了板的竖向位移在变换域中的解；最后通过积分反演，获得了板的瞬态响应 Firstly, we use the Betti-Rayleigh reciprocity theorem of elastic dynamics to prove and establish a generalized Duhamel integral expression for the dynamic response of a structure under the action of a motion load. The motion load problem is converted into a solution to the displacement impulse response function. Then, the Laplace transform and the Hankel transform are used to obtain the solution. Obtained the solution of the vertical displacement of the plate in the transform domain; Finally, through the integral inversion, the transient response of the plate was obtained.