航空学报 > 1988, Vol. 9 Issue (7): 388-392

纤维增强叠层圆柱壳的8阶方程及其解

仝立勇, 王俊奎   

  1. 北京航空航天大学
  • 收稿日期:1987-03-24 修回日期:1900-01-01 出版日期:1988-07-25 发布日期:1988-07-25

AN EIGHT-ORDER EQUATION OF FIBER REINFORCED LAMINATED CYLINDERS AND ITS SOLUTIONS

Tong Liyong, Wang Junkui   

  1. Beijing University of Aeronautics and Astronautics
  • Received:1987-03-24 Revised:1900-01-01 Online:1988-07-25 Published:1988-07-25

摘要: 关于叠层圆柱壳的问题,本文首先引入一个广义位移函数,并针对叠层圆柱壳的弯曲、稳定和振动问题,推导出关于广义位移函数的8阶偏微分方程。对于A(i6)=Bi6=Di6=O(i=1,2)的典型情形,讨论了其精确解的一般形式。

Abstract: In the present paper, an eight-order partial differential equation that is applicable for bending, buckling and free vibration of fiber reinforced laminated cylindrical shells is derived by introducing a generalized displacement function. The general form of the exact solutions of the eight-order differential equation is given for typical laminated cylinders with di6 =Bi6=Di6 =0.0( i =1, 2 ) in the constitutive equations.