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Paper
Title

Precision Closed-form Solution for Out-of-plane Vibration of Rectangular Plates via Trigonometric Shear Deformation Theory

Year: 1395
COI: JR_MACS-3-1_004
Language: EnglishView: 126
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Authors

Korosh Khorshidi - Arak University
Mohammad Khodadadi - Arak University

Abstract:

In this study, the new refine trigonometric shear deformation plate theory is used to study the out-of-plane vibration of the rectangular isotropic plates with different boundary conditions. The novelty of the research is that the analytical precision closed-form solution is developed without any use of approximation for a combination of six different boundary conditions; specifically, two opposite edges are simply supported hard and any of the other two edges can be simply supported hard, clamped or free. The equations of motion and natural boundary conditions, using Hamilton’s principle are derived. The present analytical precision closed-form solution can be obtained with any required accuracy and can be used as benchmark. Based on a comparison with the previously published results, the accuracy of the results is shown. Finally, the effect of boundary conditions, variations of aspect ratios and thickness ratios on natural frequency parameters is shown and the relation between natural frequencies for different plates is examined and dis-cussed in detail.

Keywords:

vibration , Precision closed-form solution , Trigonometric shear deformation theory

Paper COI Code

This Paper COI Code is JR_MACS-3-1_004. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1026154/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Khorshidi, Korosh and Khodadadi, Mohammad,1395,Precision Closed-form Solution for Out-of-plane Vibration of Rectangular Plates via Trigonometric Shear Deformation Theory,https://civilica.com/doc/1026154

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