Analytical Approaches to Vibration Analysis of Thick Plates Subjected to Different Supports, Loadings and Boundary Conditions - A Literature Survey

Author:

Ahad Fazl E.1,Shi Dong Yan1

Affiliation:

1. Harbin Engineering University

Abstract

Plates are one of the most important structural components used in many industries like aerospace, marine and various other engineering fields and thus motivate designers and engineers to study the vibrational characteristics of these structures. A lot of research work and studies have been done to study its vibration characteristics. This paper is a review of existing literature on vibration analysis of plates. Focus has been kept on prominent studies related to isotropic plates based on Mindlin plate theory; however few citations on orthotropic plates and higher order shear deformation theories have also been included. All citations are in English language. This review is aimed to provide contemporarily relevant survey of papers on vibrational characteristics of thick plates and identification of various methods and approaches that have been used to study the vibration characteristics. This paper will not only be useful for scientists, designers and researchers to locate important and relevant literature/research quickly but will also help them to identify and apply some of these methods and approaches to study the vibration characteristics of various other 2D and 3D structures.

Publisher

Trans Tech Publications, Ltd.

Reference87 articles.

1. E. F. F. CHLADNI 1802 Die Akustik. Leipzig.

2. LORD RAYLEIGH 1877, Theory of Sound, Volume 1. London: Macmillan; reprinted 1945 by Dover, New York.

3. W. RITZ 1909, Journal fur Reine und Angewandte Mathematik 135, 1-61. Uber eine neue methode zur losung gewisser variations probleme der mathematischen physic.

4. S. P. TIMOSHENKO and J. M. GERE 1961, Theory of Elastic Stability. New York: McGraw-Hill.

5. E. HINTON 1988 Numerical methods and Software for Dynamic Analysis of Plates and Shells. Swansea, U. K: Pineridge Press.

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