变刚度矩形薄板的弯曲与稳定计算

本文研究两对边简支,其它两边任意支承,板的刚度沿简支边方向按任意规律变化的矩形板.采用文[1]提出的有限板条元素法求解,其特点与习用的有限元法或有限单条法不同.不是先建立单元或单条的刚度矩阵,然后拼装总刚阵再求解,而是确立各个板条元素的变位和内力的传播关系.实例计算表明,该法是一个简便有效的方法.

The Calculation of Bending and Stability of a Thin Rectangular Plate for Variable Rigidity

The subject discussed in this paper is the rectangular plate. Its two opposite edges are simply supported, while the other two are arbitrary, and the rigidity of the plate is. variable along the direction parallel to the simply supported edges. In order to solve the problem, the author adopts the finite plate-strip element method, which is different from the usual finite element method or the finite strip method. The steps of the above method is no longer to establish a rigidity matrix for elements or strips and gather them into a total matrix for solution. Now the relation of transfer between the strain and inner force of every plate-strip is shown.Finally a practical example is given and this method is found to be easier and more effective.