锥壳稳定方程的一般解

在本文中，用应力函数和中面法向位移表示的锥壳稳定方程被变化成为一对无奇异性的简化方程，然后得出了方程的幂级数形式的一般解。计算结果与已有的实验结果符合良好。计算分析了８种边界情况下边界条件对静水外压临界载荷的影响及解的收敛性。

General Solution for the Stability Equations of Conical Shells

In the present paper,the equations of conical shells expressed by use of Airy stress function and the normal deflection of middle surface are simplified firstly into a pair of equations,of which coefficients are without irregularity.Then,the power series solution of the equations is derived.The critical loads predicted by the solution are in good agreement with the expenmental results in reference 5.Eight different combinations of boundary conditions are considered and their influence upon critical loads is investigated by use of the power series solution.