TY - JOUR
ID - 3926
TI - Finite Element Formulations for Free Vibration Analysis of Isotropic and Orthotropic Plates using Two-Variable Refined Plate Theory
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Rouzegar, Jafar
AU - Abdoli Sharifpoor, Reza
AD - Department of Mechanical and Aerospace Engineering, Shiraz University of Technology, Shiraz, P.O. Box 71555-313, Iran
Y1 - 2016
PY - 2016
VL - 23
IS - 4
SP - 1787
EP - 1799
KW - Finite Element Method
KW - free vibration
KW - Rectangular plate element
KW - Two-variable refined plate theory
DO - 10.24200/sci.2016.3926
N2 - In this paper, a finite element formulation based on two-variable refined plate theory is developed for free vibration analysis of isotropic and orthotropic plates. The two-variable refined plate theory, which can be used for both thin and thick plates, predicts parabolic variation of transverse shear stresses across the plate thickness, satisfies the zero traction condition on the plate surfaces and does not need the shear correction factor. After constructing weak form equations using the Hamilton principle for vibration formulation, a new 4-node rectangular plate element with six-degrees of freedom at each node is introduced for discretization of the domain. The natural frequencies of isotropic plates with different boundary condition and the fundamental natural frequencies of levy type orthotropic plates are obtained. Comparison of results with exact solutions and other common plate theories shows that beside the simplicity of presented finite element formulations, it presents accurate and efficient results. Also the effects of orthotropy ratio, side-to-thickness ratio and types of boundary conditions on the natural frequencies are studied.
UR - http://scientiairanica.sharif.edu/article_3926.html
L1 - http://scientiairanica.sharif.edu/article_3926_a5d4e7ad8b010793d81c71765e9a249f.pdf
ER -