摘要
本文提出了一种用于分析正交各向异性的纤维增强层合板之固有特性的动态有限元。考虑层板的特点,采用八节点四十个自由度的矩形单元.构造了满足单元边界条件的动态位移函数,导出了动态元意义下的层板单元特性。据此编制了层板固有特性的动态元分析程序。将实例分析结果与常规元分析结果、实验结果进行了比较,表明在层板固有持性分析中动态有限元法较之于常规有限正法有一定的优越性。
This paper is concerned with the finite dynamic element technique for analyzing the natural prop-
erties of orthogonal anisotropic fibre reinforced laminated plates.Considering the characteristic of the
laminated plates,the element model which has eight nodes and forty degrees freedom is used in analy-
sis.The dynamic element shap functions which satisfy the element boundary conditions are construct-
ed,and the dynamic element properties are directed.The analysis program of the natural properties for
laminated plates are made in FORTRAN.The unmerical results of practical examples by finite dynamic element(FDE)are compared with that by usual finile dement(FDE)are compared with that by usual
finile elememt(UFE)and by test.These indicate that there is more advantage in the natural property
analysis of laminated plates by FDE than that by UFE.
关键词
层合板
复合材料
固有特性
有限元
Finite dynamic element
Natural properties
Fibre reinforced laminated plates
Shape function
High-order matrix eigenvalue