变厚度圆锥壳的传递函数解

采用多参量渐近分布参数传递函数法，分析了变圆锥壳的静变形和自由振动问题。文中利用Fourier级数展开，Laplace变换，推导了变厚度圆锥壳状态空间形式的运动微分方程。在圆锥壳渐近传递函数解的基础上，再引入一个与厚度变化相关的小参数。利用摄动方法，将微分方程进行双参层摄动，采用传递函汉对所得到的摄动方程进行求解，得到了变厚度圆锥壳在任意边界条件下的渐近传递函数解。

Transfer Function Solution of Conical Shells With Variable Thickness

A multi parameter asymptotic distributed transfer function method is presented for the static deformation,free vibration analysis of conical shells with variable thickness.Using Fourier series expansion and Laplace transform,a global dynamic equilibrium equation in the spatial state space form is obtained.Except the perturbation parameter defined for uniform conical shell,another perturbaion parameter is introduced to account for the variation of thickness.The asymptotic solutions of non uniform conical shells under arbitrary boundary conditions are determined by double parameter perturbation technique and transfer function method.