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

被引：0
|
作者：
JunJiang Lai
JianGuo Huang
ZhongCi Shi
机构：
[1] Minjiang University,Department of Mathematics
[2] Shanghai Jiao Tong University,Department of Mathematics
[3] E-Institute of Shanghai Universities,Division of Computational Science
[4] Shanghai Normal University,Institute of Computational Mathematics, Academy of Mathematics and Systems Science
[5] Chinese Academy of Sciences,undefined
来源：
Science China Mathematics | 2010年 / 53卷
关键词：
vibration analysis; plate-plate structures; lumped mass FEM; error analysis; 65M15; 65M60; 70J35; 70J50;
D O I：
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中图分类号：
学科分类号：
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.
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页码：1453 / 1474
页数：21
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