线支正交异性矩形厚板的动稳定分析

Analysis of Dynamic Stability Rectangular Orthotropic Thick Plates With Line Supports

用伽辽金法和富里哀级数相结合的方法,分析线支自由边正交异性矩形厚板的动稳定。在板的自由边上作用着均匀分布的非保守跟随力,控制该力的方向,使其与加载边的转动角度成正比。由于分析基于Амбарпумян理论,因此包括了剪切变形的影响,计算结果表明剪切变形对临界力的影响必须予以考虑。

The Galerkin's method combined with Fourier series is applied to analysis of dy-namic stability of rectangular orthotropic thick plates with four free edges and suppotedalong lines. The edges of plate are subjected to uniformly distributed nonconservativefollower forces, the direction of which is controlled in proportion to the rotation angle ofthe loading edge. The analysis is based on Ambartsumian plate theory so that the effectof shear deformation is included. The numerical results show that influence of shear de-formation upon the critical forces is considerable.