求解Reissner板弯曲问题的一种新方法  

A New Solution for The Reissner's Plate Bending Problem

作　　者：王孝国[1] 强士中[1] 范家参 贾春生[1] 

机构地区：[1]西南交通大学,西南石油学院

出　　处：《应用力学学报》1997年第4期114-119,共6页Chinese Journal of Applied Mechanics

摘　　要：运用摄动理论首次将Ｒｅｉｓｓｎｅｒ板理论分解为一系列Ｋｉｒｃｈｈｏｆ板理论的叠加。这样，Ｒｅｉｓｓｎｅｒ板问题的解答就可通过在具体边界条件下求解一系列Ｋｉｒｃｈｈｏｆ板问题来获得。算例表明，本文方法简单，只需摄动两次就能接近Ｒｅｉｓｓｎｅｒ板理论的精确解。In this paper, the perturbation method is applied to resolve the Reissner's theory of plate into the sum of a series of the Kirchhoff's theory of plate. Thus the Reissners plate problem can be solved readily by means of the solutions of the Kirchhoff's plate problems. At last two examples are given, the results show that the method presented is of simple and high accuracy which can be applied to engineering practice.

关 键 词：REISSNER板 摄动理论 弹性薄板 

分 类 号：O343[理学—固体力学]