Free Vibration Analysis Sandwich Plates Coupled with Fluid

Free Vibration Analysis Sandwich Plates Coupled with Fluid
Authors : Serdoun Nadjib , Hamza Cherif Sidi Mohammed , Sebbane Omar
Publication Date: 04-11-2015


Author(s):  Serdoun Nadjib , Hamza Cherif Sidi Mohammed , Sebbane Omar

Published in:   International Journal of Engineering Research & Technology

License:  This work is licensed under a Creative Commons Attribution 4.0 International License.

Website: www.ijert.org

Volume/Issue:   Volume. 4 - Issue. 11 , November - 2015

e-ISSN:   2278-0181


This paper presents the free vibration analysis of composite thick rectangular plates coupled with fluid, The governing equations for a thick rectangular plate are analytically based on Reddy’s higher order shear deformation theory (HSDT). The plate theory ensures a zero shear-stress condition at the top and bottom surfaces of the plate and do not requires a shear correction factor. Although the plate theory is quite attractive but it could not be used in the finite element analysis. This is due to the difficulties associated with the satisfaction of the C1 continuity requirement. To overcome this problem associated with Reddy’s HSDT, a new C1 HSDT p-element with eight degrees of freedom per node is developed and used to find natural frequencies of thick composite plates. Whereas the velocity potential function and Bernoulli’s equation are employed, to obtain the fluid pressure applied on the free surface of the plate. The simplifying hypothesis that the wet and dry mode shapes are the same, is not assumed in this paper. A comparison is made with the published experimental and numerical results in the literature, showing an excellent agreement. natural frequencies of the plate are presented in graphical forms for different fluid levels, aspect ratios, thickness to length ratios and boundary conditions.


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