叠层复合材料厚板的频率分析

FREQUENCY ANALYSIS OF THICK COMPOSITE LAMINATES

Department of Applied Mathematics and Mechanics Hefei Polytechnic University, Hefei, China

摘要

摘要: 本文引入各向同性材料的弹性厚板理论,提出了一种改进的叠层板理论并给出了一些理论解.在数植分析中,用二次和三次B样条函数构成的样条基对诸独立位移分量进行插值.动力方程建立后,采用广义雅可比法和质量凝聚法联合求解特征值问题.文末给出了一些数值结果及其比较.

Abstract: The paper deals with the vibration analysis of thick composite laminates.For the parpose of good accracy and effieieny,the paper introduces the elastic theory of isptropic material thick plate and presents a new refined theory of laminated plates and gives some theoretieal solutions under certain pacticular boundary conditions,For general cases,the paper extends the finite elemet method to the dynamic analysis of the composite laminated plates,and develops a new element which accoants for the shear deformation,in-plane displacements and roatory inertia effects.