非匀质地基上正交异性矩形厚板的动态稳定

本文把伽辽金法和富里哀级数相结合,用以分析非匀质地基上的自由边正交异性矩形厚板的动态稳定。在板的自由边上作用着均匀分布的非保守跟随力,力的方向受到控制,使其与加载边的转角成定比。分析基于理论,因此包括了剪切变形的影响。力是非保守的,会有颤振和发散两种形式的失稳,力是保守的,只会有发散形式的失稳。

Dynamic Stability of Rectangular Orthotropic Thick Plates with Four Free Edges on Inhomogeneous Foundations

In this paper, the Galerkin's method combined Fourier series is applied to analysis of dynamic stability of rectangular orthotropic thick plates with four free edges on in-homogeneous foundation. The edges of plates are subjected to uniformly distributed non-conservative follower forces, the directions of which are controlled in proportions to the rotation angles of the loading edges. The analysis is based on the Ambartsumian plate theory so that the effecct of shear deformation is included. The plate may have both flutter and divergence type instabilities when the forces are non-conservative, although it may have only divergence type instability when the forces are conservative.