中厚圆柱壳弯曲问题的位移解  

The displacement solution of medium cylindrical shells' bending problem

作　　者：黄义[1] 郭春霞[1] 王永艳[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《西安建筑科技大学学报（自然科学版）》2007年第6期746-751,共6页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(56978003)

摘　　要：目前在壳体的计算中,多采用经典的薄壳理论,即不考虑剪切变形的影响.然而,随着复合材料层合结构的广泛应用,在板壳理论中考虑横向剪切变形的影响显的愈来愈重要.提出了中厚壳圆柱壳的位移解法,首先基于圆柱壳的一阶精确理论,通过引入三个位移函数,同时运用柯西-黎曼条件,推导出了中厚圆柱壳的控制微分方程,并给出了方程的解和相应的数值结果.所得结果符合力学规律,为中厚圆柱壳弯曲问题的研究提供了理论基础.At present, the classical theory of thin shells is often used for solving problems of shells, that is, Which gives no consideration to the transverse shearing deformation. However, with the extensive applying of layered structure, the transverse shearing deformation becomes more and more important. This paper proposes the displacement method of medium cylindrical shells＇ bending problem based on the accurate elementary theory. The governing differential equation of medium cylindrical shells is obtained by introducing three displacement functions and using Cauchy-Riemann condition. At last, the exact solutions and the corresponding value results are given. The results agree to the mechanics rules and provide theoretical basis for the bending problem of medium cylindrical shells.

关 键 词：中厚圆柱壳 位移函数 横向剪切变形 

分 类 号：TU333[建筑科学—结构工程]