Dynamic Stability of a Rectangular Plate Subjected to In-plane Dynamic Shearing Forces

In this paper, dynamic stability of a rectangular plate subjected to inplane sinusoidally time-varying shearing forces is presented. The problem is analyzed by the linear theory of the thin plate. The basic equation of motion is solved by using a Galerkin method and the harmonic balance method.As numerical examples， the buckling and vibration properties of a rectangular plate subjected to in-plane static shearing forces are examined. Then, the dynamic unstable regions of the present problem are obtained for various boundary conditions and compared with the results by using the method of Hsu