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 

出　　处：《Science China Mathematics》2010年第6期1453-1474,共22页中国科学：数学（英文版）

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)

摘　　要：The fully discrete lumped mass finite element method is proposed for vibration analysis of elastic plate-plate structures.In the space directions,the longitudinal displacements on plates are discretized by conforming linear elements,and the transverse displacements are discretized by the Morley element.By 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 introduced.The error analysis for the method in the energy norm is established,and some numerical examples are included to validate the theoretical analysis.The fully discrete lumped mass finite element method is proposed for vibration analysis of elastic plate-plate structures.In the space directions,the longitudinal displacements on plates are discretized by conforming linear elements,and the transverse displacements are discretized by the Morley element.By 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 introduced.The error analysis for the method in the energy norm is established,and some numerical examples are included to validate the theoretical analysis.

关 键 词：vibration ANALYSIS plate-plate structures lumped MASS FEM ERROR ANALYSIS 

分 类 号：O241.82[理学—计算数学]