正交各向异性复合材料圆锥壳非线性稳定性分析

NONLINEAR STABILITY OF ORTHOTROPIC COMPOSITE CONICAL SHELL UNDER EXTERNAL PRESSURE

利用能量变分原理和非线性几何方程推导了圆锥形薄壳稳定性的基本微分方程，并建立了适合于一般各向异性复合材料圆锥壳的Ｄｏｎｎｅｌ型控制方程．针对正交各向异性复合材料圆锥壳的特殊情况，选择适当的位移函数，通过坐标变换将难于求解的变系数偏微分方程转换为容易求解的常微分方程．根据所设位移函数，严格从协调方程中推导出应力函数的表达式，并用伽辽金方法分析了正交各向异性圆锥壳在外压作用下的稳定性问题。

The nonlinear stability of composite conical shell under external pressure was studied. The Donnell type governing equations were developed for general anisotropic composite conical shells. The partial differential equations with variable coefficients were changed into differential equations with constant coefficients by means of selecting appropriate displacement function and changing coordinate system which can be solved easily. The stress functions were strictly decuced from compatiable equations by the displacement function selected. The stability of orthotropic composite conical shell under external pressure was calculated by means of Galerkin method and the formulas were obtained for the post buckling equilibrium displacement figure curves.