常用旋转薄壳通用计算模式

THE GENERAL USEFUL FORMULA FOR SOLVING CONICAL, SPHERICAL AND CYLINDRICAL SHELLS

本文是根据弹性薄壳理论,对部分应用非常广泛的旋转壳,通过它们内在的联系导出以超几何函数作为统一计算模式,使复杂的壳体分析(多种函数表达)规范化,便于掌握和运用.文中较多地涉及超几何方程在极限状态时的新方程解,故从应用角度称它们为“退化超几何方程”及“退化超几何函数”解.

Based on the elastic theory of shells, the generalized formula for calculating part of the commonly used revolutional shells, such as conical, spherical and cylindrical shells,is derived with their general solution in terms of hyper-geometric function through the internal relationships of these shells. The complicated analytic work(multiple function expression) is thus simplified and standardized so as easy to learn and use.As this paper deals many times with the solution of the new equation* for limit state of Gauss hypergeometric equation, therefore, from the applicable point of view we call it as the solutoin of 'Degenerative hypergeometric equa-tion' and 'Degenerative hypergeometric function' .