中细柔性圆环壳整体弯曲的一般解及在波纹管计算中的应用(Ⅱ)——Ω型波纹管的计算  

General Solution of the Overall Bending of Flexible Circular Ring Shells With Moderately Slender Ratio and Applications to the Bellows(Ⅱ)-Calculation for Omega_Shaped Bellows

作　　者：朱卫平[1] 黄黔[1] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《应用数学和力学》2002年第8期798-804,共7页Applied Mathematics and Mechanics

摘　　要：(Ⅱ )是 (Ⅰ )的具体应用·　计算了Ω型波纹管的角向刚度、横向刚度和应力分布 ,并将所得结果与有关的细环壳理论及实验进行了比较·　结果表明 ,单独用 (Ⅰ )的非齐次解能够计算Ω型波纹管的纯弯曲 ,而且比细环壳理论更接近实际 ;但在横向位移作用下 ,(Ⅰ )的非齐次解只能部分地满足边界条件 ,此时应同时考虑齐次解的作用 ,即完整的一般解 (Ⅰ )is one of the applications of (Ⅰ), in which the angular stiffness, the lateral stiffness and the corresponding stress distributions of Omega_shaped bellows were calculated, and the present results were compared with those of the other theories and experiments. It is shown that the non_homogenous solution of (Ⅰ) can solve the pure bending problem of the bellows by itself, and be more effective than by the theory of slender ring shells; but if a lateral slide of the bellows support exists the non_homogenous solution will no longer entirely satisfy the boundary conditions of the problem, in this case the homogenous solution of (Ⅰ) should be included, that is to say, the full solution of (Ⅰ) can meet all the requirements.

关 键 词：柔性壳理论 中细圆环壳 Ω型波纹管 横向弯曲 一般解 

分 类 号：O343.2[理学—固体力学]