复合材料圆锥壳稳定性分析的传递函数法

基于线弹性小变形理论， 利用Ｆｏｕｒｉｅｒ级数展开、Ｌａｐｌａｃｅ 变换和摄动方法， 建立了复合材料薄壁圆锥壳的静力响应、频率响应、自由振动与屈曲特征值问题的渐近传递函数解。构造了复杂边界条件、中间带支撑、变锥度及阶梯变厚度圆锥壳的传递函数解。数值计算结果表明该方法具有很高的计算精度。

Distributed Transfer Function Method for Stability Analysis of Composite Conical Shells

In this paper, based on linear elastic and small deformation theory, an asymptotic distributed transfer function method (TFM) is presented for static deformation, free vibration and buckling analysis of isotropic/composite thin conical shells, where Fourier series expansion, Laplace transform, perturbation technique are applied. Synthesizing the transfer functions of sub-segments, the TFM solution is worked out for combined shells composed of several conical shell segments with different conical angle, thickness, complex boundary conditions and middle-supported constraints. Numerical results shows that this asymptotic TFM solution is of very high precision.