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Cluster Computing

, Volume 22, Supplement 2, pp 4157–4163 | Cite as

Eigen vector buckling based boundary analysis method for free vibration of rectangular thin plates

  • Hongwang ZhaoEmail author
  • Aicheng Zou
Article
  • 88 Downloads

Abstract

The main research topic of this paper is the application of the finite element method boundary analysis theory to study the stability of plate in irregular shape. First of all, the basic theory of free vibration of elastic plate and the basic equations of elastodynamics are introduced, and the governing equation of small deflection of free vibration of plate is given. Secondly, the finite element method boundary analysis method is introduced in details, including the basic idea and analysis steps of finite element method boundary analysis, and some element types, so as to lay a theoretical foundation for better understanding of finite element method boundary analysis method and application of it to analyze the stability of plate. At last, finite element method boundary analysis is applied to analyze the stability of plate, among which, the structural analysis types in ANSYS software and its analysis steps are introduced, and buckling (eigenvalues) analysis in ANSYS software is mainly introduced, and the effective performance of algorithm is verified by applying ANSYS software.

Keywords

Rectangular plate Free vibration Finite element method boundary analysis Boundary analysis 

Notes

Acknowledgements

This work is carried out with the support of Guanxi junior high school teachers’ basic ability improvement project “Optimization of thin plate vibration problems with lumped mass based on modal analysis”(KY2016YB530). Guangxi Natural Science Foundation under Grant No. 2016GXNSFBA380230)

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Guilin University of Aerospace TechnologyGuilinChina

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