Free Vibration of Cross-ply Composite Plates by a High-Order Shear Deformable Finite Element

Authors

  • Mihir Chandra Manna
  • Mainak Manna

DOI:

https://doi.org/10.37591/rrjophy.v5i3.434

Abstract

Abstract
Free vibration analysis of composite rectangular plates with different thickness ratios, different boundary conditions and different aspect ratios has been investigated using a high-order shear flexible triangular plate element. The first order shear deformation theory (FOSDT) is used to include the effect of transverse shear deformation. The element has eighteen nodes on the sides and seven internal nodes. Element geometry is expressed in terms of three linear shape functions of area coordinates. The formulation is displacement type. The element has seventy-one degrees of freedom, which has been reduced to fifty-seven degrees of freedom by Guyan reduction scheme for the degrees of freedom associated with the internal nodes. Rotary inertia has been included in the consistent mass matrix. Numerical examples are presented to show the accuracy and convergence characteristics of the element.
Keywords: Shear deformation, Guyan reduction scheme, rotary inertia, consistent mass matrix

Cite this Article
Mihir Chandra Manna, Mainak Manna. Free Vibration of Cross-ply Composite Plates by A High-Order Shear Deformable Finite Element. Research & Reviews: Journal of Physics. 2016; 5(3): 36–47p.

Downloads

Published

2018-04-20

Issue

Vol. 5 No. 3 (2016)

Section

Research Article

License

Declaration and Copyright Transfer Form

(to be completed by authors)

I/ We, the undersigned author(s) of the submitted manuscript, hereby declare, that the above manuscript which is submitted for publication in the STM Journals(s), is not published already in part or whole (except in the form of abstract) in any journal or magazine for private or public circulation, and, is not under consideration of publication elsewhere.

  • I/We will not withdraw the manuscript after 1 week of submission as I have read the Author Guidelines and will adhere to the guidelines.
  • I/We Author(s ) have niether given nor will give this manuscript elsewhere for publishing after submitting in STM Journal(s).
  • I/ We have read the original version of the manuscript and am/ are responsible for the thought contents embodied in it. The work dealt in the manuscript is my/ our own, and my/ our individual contribution to this work is significant enough to qualify for authorship.
  •  I/We also agree to the authorship of the article in the following order:

Author’s name                                    

 

1. ________________

2. ________________

3. ________________

4. ________________

 

We  Author(s) tick this box and would request you to consider it as our signature as we agree to the terms of this Copyright Notice, which will apply to this submission if and when it is published by this journal.