航空学报 > 1988, Vol. 9 Issue (1): 34-40

用解析-数值混合法分析层合板的孔边应力

单辉祖, 杨乃文   

  1. 北京航空学院
  • 收稿日期:1987-01-13 修回日期:1900-01-01 出版日期:1988-01-25 发布日期:1988-01-25

STRESSES ANALYSIS AROUND A PIN-LOADED HOLE IN COMPOSITE LAMINATES BY AN ANALYTIC-NUMERICAL METHOD

Shan Huizu, Yang Naiwen   

  1. Beijing Institute of Aeronautics and Astronautics
  • Received:1987-01-13 Revised:1900-01-01 Online:1988-01-25 Published:1988-01-25

摘要: 含圆孔的层合板或各向异性板,在孔内轴销加载下的孔边应力分析,是一个比较复杂的问题。本文提出的解析-数值混合解法,为分析此类问题提供了新的途径。 首先,在作者所建议的力学模型的基础上,建立轴销的柔度方程和孔边等效节点载荷的解析表达式。然后,根据轴销与孔边相接触节点间所应满足的接触条件,综合应用上述解析表达式和有限元素法,建立分析孔边应力的基本方程。-最后,按本文所述递推回代公式进行求解。实例表明,计算结果与实验相符。

Abstract: This paper presents an analytic-numerical method for stresses analysis around a pin-loaded hole in composite laminates or orthrgotropic plates.The analysis is based on the model presented by the authors,and therefore the flexibility equation of the pin and the formulae of equivalent nodal forces of the hole are developed. Next, according to the contact conditions between the pin and the plate, and by using the expressions mentioned above, and the FEM, the fundamental equations for stresses analysis around the hole are established. Finally, by means of the formulae of recursion and back-substitution presented in this paper the problem is worked out.