非轴对称载荷作用下圆柱薄壳的解析解  

AN ANALYTIC SOLUTION OF LENGTH-LIMITED THIN-WALLED CYLINDRICAL SHELLS UNDER NON-AXISYMMETRIC UNIFORM LINE LOAD

作　　者：赵建波[1] 白象忠[1] 司秀勇[1] 

机构地区：[1]燕山大学建筑工程与力学学院,秦皇岛066004

出　　处：《机械强度》2014年第2期290-294,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金资助项目(50875230)~~

摘　　要：求解非轴对称载荷作用下圆柱薄壳的变形及应力状态问题,在工程中普遍存在。将电磁轨道发射装置中的发射管外壁,在工作状态下简化为非轴对称载荷作用下有限长的圆柱薄壳;给出了分析变形与应力状态的基本方程;在设定载荷及位移函数的基础上,应用Galerkin法求得了应力与位移的解析解;通过具体算例,将所得的计算结果与Ansys数值解进行了对比分析,验证了解析解的正确性。研究结果可供圆柱薄壳非轴对称问题的理论求解和相应的工程设计参考。Solution for length-limited thin-walled cylindrical shells＇deformation and stress state under non-axisymmetric uniform line load conditions, such as containments of rail guns, is a common engineering problem. Based on fundamental equations of the above problem, load function and displacement function are presented, and displacement and stress analytic solutions are obtained by Galerkin Method in this paper. The analytical solutions are verified by comparing them with Ansys nmnerical solutions of an example problem. The results of this paper can be served as a reference for analytic solutions and engineering designs of non-axisymmetric cylindrical shells.

关 键 词：非轴对称 圆柱薄壳 解析解 电磁轨道发射装置 

分 类 号：TJ399[兵器科学与技术—火炮、自动武器与弹药工程] O343.3[理学—固体力学]