轴对称荷载下加筋碟形薄壳的近似计算  

Dishing Reinforced Shell's Approximation Calculation under Symmetric Load

作　　者：张宇力[1] 

机构地区：[1]华中科技大学建工系,湖北武汉430074

出　　处：《南昌大学学报（工科版）》2006年第1期79-82,共4页Journal of Nanchang University(Engineering & Technology)

摘　　要：对于承受轴对称荷载的加筋碟形薄壳,壳体内力可分为薄膜应力和弯曲应力,可以先把筋条按某种准则“均摊”在壳体上,从而用有效薄膜厚度和有效抗弯厚度来分别代替壳体厚度,再分别利用含待定复系数的旋转薄壳复变量方程,递推代换求解薄壳的薄膜解;以及利用幂指数摄动级数近似法求解薄壳的抗弯解;并通过环壳球壳交接处的协调条件以及边界条件,联立求解薄壳复变量方程中未知的待定复系数,从而使问题得以解决.Dishing reinforced shell is a sort of special shell of revolution. It consists of a toroidal shell and a spherical shell. This paper makes use of effective film thickness and effective moment thickness to transfer the reinforced rib＇ s solidity into the shell＇ s solidity. We study the dishing shell of revolution by regarding it as combination of a toroidal shell and a spherical shell, and establish respectively the complex variable equations of two shells. Then,the complex equations of shells can be solved with two shell＇ s harmonious terms and boundary conditions. The fundamental equations can be solved by asymptotic exponential perturbation method. The equations of special solution can be solved by progression special solution.

关 键 词：碟形薄壳 筋条 复变量方程 

分 类 号：TB125[理学—工程力学]