航空学报 > 1994, Vol. 15 Issue (12): 1424-1432

层合双曲率厚壳的状态方程及其半解析法

邹贵平, 唐立民   

  1. 大连理工大学力学所, 大连, 116023
  • 收稿日期:1993-05-19 修回日期:1993-12-24 出版日期:1994-12-25 发布日期:1994-12-25

THESTATE EQUATIONS AND A SEMI-ANALYTICAL SOLUTION FOR THICK COMPOSITE DOUBLE CURVED SHELLS

Zou Guiping, Tang Limin   

  1. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian, 116023
  • Received:1993-05-19 Revised:1993-12-24 Online:1994-12-25 Published:1994-12-25

摘要: 采用正交曲线坐标导出了角铺设层合双曲率厚壳的状态方程及其半解析法。该方法在α-β曲面内采用通常的有限元离散,而沿壳厚(r)方向采用状态空间法给出解析解,从而计入了剪切效应的影响,且通过状态转移矩阵的建立,保证了层界面之间层间位移和应力的连续,减少了计算中未知量数目。

关键词: 层合结构, 壳体, 状态方程, 半经验方程

Abstract: he state equations and semi-analyical solutions for thick composite double curved shells are presented.By the separation of variables,the finite element method is employed in the α-βlamina,and the exact solution in the thickness(r)direction is derived by the state space control method,so the transverse shear effect is considered.By using the transfer matrix meth-od,the continuity of the displacements and stresses at the two interfaees is maintained,and the number of variables is reduced greatlly.

Key words: composite structures, shells (structural forms), equations of state, semiempir-ical equations

中图分类号: