Proceedings of the 2019 International Conference on Electronical, Mechanical and Materials Engineering (ICE2ME 2019)

Numerical and Theoretical Solutions for the Free Vibration Analysis of Moderately Thick Plates

Authors
J.M. Martínez Valle
Corresponding Author
J.M. Martínez Valle
Available Online March 2019.
DOI
10.2991/ice2me-19.2019.19How to use a DOI?
Keywords
plates; vibrations; structures; galerkin method
Abstract

The vibrations of plates are a topic of undoubted interest in the field of civil engineering and aeronautics. Today, we find many examples where this type of phenomena occur, and there are structural elements that we can study as plates or shells. The analytical solutions for the governing equations for the dynamics of higher order plates are very difficult or impossible to obtain so we have to resort to numerical methods. The Finite Element Method (FEM) has been and is a very powerful tool to solve differential or integral equations. The method of Galerkin is another interesting possibility that can be applied without difficulty and that has not been given as much interest as the FEM. As with the FEM, there are different techniques to relieve numerical instabilities (shear locking of the stiffness matrix) for the solutions of thin plates. In this communication, we studied this phenomenon by making use of a higher order shear deformation plate theory deduced by the author. We made use of D'Alembert's principle and used a modified method of Galerkin. The results obtained are in very good agreement with those present in the literature

Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Volume Title
Proceedings of the 2019 International Conference on Electronical, Mechanical and Materials Engineering (ICE2ME 2019)
Series
Advances in Engineering Research
Publication Date
March 2019
ISBN
978-94-6252-685-3
ISSN
2352-5401
DOI
10.2991/ice2me-19.2019.19How to use a DOI?
Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - J.M. Martínez Valle
PY  - 2019/03
DA  - 2019/03
TI  - Numerical and Theoretical Solutions for the Free Vibration Analysis of Moderately Thick Plates
BT  - Proceedings of the 2019 International Conference on Electronical, Mechanical and Materials Engineering (ICE2ME 2019)
PB  - Atlantis Press
SP  - 86
EP  - 89
SN  - 2352-5401
UR  - https://doi.org/10.2991/ice2me-19.2019.19
DO  - 10.2991/ice2me-19.2019.19
ID  - Valle2019/03
ER  -