阶梯式变厚度两对边简支的矩形弹性薄板弯曲问题的解析解  

The Analytical Solutions of Bending Problem for Stepped Rectan-gular Elastic Thin Plates with Two Opposite Simple Supported Edges

作　　者：王燮山[1] 

机构地区：[1]北京水利电力经济管理学院

出　　处：《应用力学学报》1995年第1期126-131,共6页Chinese Journal of Applied Mechanics

摘　　要：讨论了阶梯式变厚度两对边为简支的矩形弹性薄极的弯曲问题，应用奇异函数及其傅立叶奇延拓展开获得了该问题的通解和一系列特解。文中应用所得公式对实例进行了分析和计算。In the present paper,the bending problem for stepped rectangular elastic thin plates with two op-posite simple supported edges is discussed. The general solution and a number of particular solutions forthis problem are obtained by using singularity functions and its Pourier odd prolongation. An exampleis analyzed and calculated by these formulae in this paper.

关 键 词：阶梯式 变厚度 薄板 解析解 弯曲 工程弹性力学 

分 类 号：TB125[理学—工程力学]