线载荷作用下圆柱壳环向弯曲变形的研究  

CIRCUMFERENTIAL BENDING DEFORMATION OF CYLINDRICAL SHELL UNDER LINEAR LOAD

作　　者：李伟建[1] 潘存云[1] 王荣吉[1] 张湘[1] 

机构地区：[1]国防科学技术大学机电工程与自动化学院,长沙410073

出　　处：《力学与实践》2010年第4期35-39,共5页Mechanics in Engineering

基　　金：湖南省自然科学基金(09JJ3108);中国博士后科学基金(20080441284)

摘　　要：通过引入单三角级数形式的位移函数,求解了法向任意分布载荷作用下对边简支时圆柱壳的环向弯曲问题,把线载荷近似为微元矩形区的分布载荷,推导出了线载荷作用下圆柱壳的环向弯曲变形计算式,并给出了线载荷为均布和线性变化时的具体解.计算表明,该种边界约束条件下圆柱壳的环向弯曲变形位移分布场的理论计算结果与有限元分析结果基本吻合.With the displacement function expressed in single trigonometric series,the circumferential bending problem of the cylindrical shell under arbitrary normal distributed load and simply supported in the opposite edges,is solved.Approximately taking the distributed load as a linear load in the infinitesimal rectangle region, the circumferential bending deformation formula of the cylindrical shell under the linear load is deduced.The special formula is obtained when the linear load is uniformly-distributed and linearly varying.The results show that,under given boundary constraints,the displacement distribution of the cylindrical shell circumferential bending deformation calculated by the theoretical method is consistent with that calculated by FEA.

关 键 词：圆柱壳 环向弯曲变形 三角级数 有限元 

分 类 号：O342[理学—固体力学]