关键词: 铺层结构, 三维等效弹性常数, 有限元, 模态分析

Abstract:

An equivalent formula of 3D elastic constants of composite laminates was presented herein according to three-dimensional macroscopic elastic properties of the laminated structure and the three-dimensional laminated structure theory. A modular program was also established on a MATLAB platform, this theory was applied in the equivalent of the plane ply and ring ply part of a large rotating mechanism. Inputting the elastic parameters of each single layer structure, the stiffness matrix, flexibility matrix and equivalent elastic constants can be automatically generated in the equivalent model. Then, the finite element model was built in ANSYS parametric language, the modal analysis result of the structure before and after equivalent was compared. The results show that the relative error is within 5%, which proves that the equivalent method used in this kind of layer structure is feasible.

Key words: layer structure, three dimensional equivalent elastic constant, finite element, modal analysis