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(Ⅰ)——基本方程和一般解  

General Solution of the Overall Bending of Flexible Circular Ring Shells With Moderately Slender Ratio and Applications to the Bellows(Ⅰ)-Governing Equation and General Solution

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790-797,共8页Applied Mathematics and Mechanics

摘　　要：讨论了圆环壳在横向载荷作用下的整体弯曲问题 ,提出了中细柔性圆环壳的概念、基本方程和一般解·　本文称粗细比 (子午线曲率半径与子午线曲率中心到回转轴的距离之比 )小于 1/ 3的圆环壳为中细圆环壳 ;方程的推导基于E .L .Axelrad的柔性壳理论 ;所得的解含有处理边界问题所必须的积分常数并且在全域内处处收敛 ;本解能方便地用于有关波纹管的计算·　全文共分 4个部分 :(Ⅰ )基本方程和一般解 ;(Ⅱ )Ω型波纹管的计算 ;(Ⅲ )C型波纹管的计算 ;(Ⅳ )U型波纹管的计算·The overall bending of circular ring shells subjected to bending moments and lateral forces is discussed. The derivation of the equations was based upon the theory of flexible shells generalized by E. L. Axelrad and the assumption of the moderately slender ratio less than 1/3 (i.e.ratio between curvature radius of the meridian and distance from the meridional curvature center to the axis of revolution). The present general solution is an analytical one convergent in the whole domain of the shell and with the necessary integral constants for the boundary value problems. It can be used to calculate the stresses and displacements of the related bellows. The whole work is arranged into four parts: (Ⅰ) Governing equation and general solution; (Ⅱ) Calculation for Omega_shaped bellows; (Ⅲ) Calculation for C_shaped bellows; (Ⅳ) Calculation for U_shaped bellows. This paper is the first part.

关 键 词：柔性壳理论 中细圆环壳 波纹管 横向弯曲载荷 一般解 

分 类 号：O343.2[理学—固体力学]