A lumped mass finite element method for vibration analysis of elastic plate-plate structures

作     者：LAI JunJiang1,HUANG JianGuo2,3,& SHI ZhongCi4 1Department of Mathematics,Minjiang University,Fuzhou 350108,China 2Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China 3Division of Computational Science,E-Institute of Shanghai Universities,Shanghai Normal University,Shanghai 200234,China 4Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China 

作者机构：Department of Mathematics Minjiang University Fuzhou China Department of Mathematics Shanghai Jiao Tong University Shanghai China Division of Computational Science E-Institute of Shanghai Universities Shanghai Normal University Shanghai China Institute of Computational Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2010年第53卷第6期

页      面：1453-1474页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：supported by the National Basic Research Program (Grant No.2005CB321701) National Natural Science Foundation of China (Grant No.10771138) E-Institutes of Shanghai Municipal Education Commission (Grant No.E03004) 

主　　题：vibration analysis plate-plate structures lumped mass FEM error analysis 

摘      要：The fully discrete lumped mass finite element method is proposed for vibration analysis of elastic plate-plate *** the space directions,the longitudinal displacements on plates are discretized by conforming linear elements,and the transverse displacements are discretized by the Morley *** means of the second order central difference for discretizing the time derivative and the technique of lumped masses,a fully discrete lumped mass finite element method is obtained,and two approaches to choosing the initial functions are also *** error analysis for the method in the energy norm is established,and some numerical examples are included to validate the theoretical analysis.