摘要
本文采用泰勒级数法分析横观各向同性球壳轴对称弯曲问题。将位移沿厚度方向展开成泰勒级数,利用三维弹性方程求得级数中的各阶导数。对于边值问题,用特征函数法满足球面齐次边界条件,并用最小二乘配点法满足端部条件。
In this paper, the Taylor series method is used to analyze a transverely isotropic spherical shell in axi-symmetric bending. Along the radial direction, the displacements of the spherical shell are expanded as Taylor series and each derivative of the displacements is obtained by use of the equilibrium differential equations. The eigen function method is used to sotisfy the spherical surface boundary condtions and the least square technique is used to satisfy the end boundary conditions. The solution of the transversly isotropic spherical shell in axi-symmetric bending provided in this paper is an elasticity solution with ad hoc assumption.
关键词
泰勤级数法
球壳
轴对称
弯曲
Taylor series Method, teansversely isotropic, spherical shell
