並列摘要
The phenomenon of vibrations and waves is a commonplace. But the mathematics solving a question completely is complex and annoying. The goal of this paper is to investigate the behavior of a vibrating rectangular membrane. We use the partial differential equation describing the vibration of a thin membrane directly without deriving. Most of the students learning Physics pay much attention to the eigenvalue problems of Helmholtz equation such that they ignore the dynamics of the wave. We use Green's function method to solve some problems about two-dimension wave propagation. For example, we deal with the dynamical behavior of a rectangular membrane with fixing boundary if the initial shape of it is given. We also treat the response of of a rectangular membrane which is driven by a periodic force at some one fixed point.