考虑横向剪切变形厚旋转壳振动的位移型基本方程

Displacemental vibration equations of thick shells of revolution considering transverse shear deformation

本文基于考虑横向剪切变形的中厚旋转壳的几何方程、物理方程、中面平衡方程,建立关于五个中面位移u,v,w,,ψ为五个独立变量的中厚旋转壳振动的位移型基本方程.该方程退化为薄旋转壳、厚圆柱壳、厚圆锥壳及厚球壳振动的位移型基本方程的正确性说明所推导方程具有一般性.

Based on the geometric equations,physical equations and midsurface equilibrium equation with the consideration of transverse shear deformation,the displacemental vibration equations concerning five independent variables,i.e. five midsurface displacements (u,v,w,φ,ψ),are established for middle thick shells of revolution. The proposed equations can be degenerated into the displacemental vibration equations of thin shells of revolution,thick cylindrical shells,thick conical shells and thick spherical shells correctly,which demonstrate the generality of the derived equations.