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NATURAL FREQUENCIES OF THIN RECTANGULAR FLAT PLATES UNDER TRANSVERSE VIBRATIONS: A REVIEW
1Vishwaskumar Nakum*, 2Sanketkumar Pansuriya, 1Hirenkumar Pandya, 1Mayankkumar Thummar

Published in: International Journal of Scientific Review and Research in Engineering and Technology
Volume- 2, Issue-1, pp.113-122, Dec 2016
DPI :-> 16.10069.IJSRRET.2016.V2I1.113122.1366



Abstract
Knowing the natural frequency of a plate is always an important aspect to avoid resonance. Kirchhoff plate theory is used for mathematical modeling of thin flat plates. Assumptions of this theory restrict its applicability to thin plates only. Another higher order theory is Mindlin-Reissner plate theory, which is applicable to wide range of thicknesses as it considers the effects of transvers shear and rotary inertia. This paper discusses detailed derivation of governing equation of vibration of rectangular flat plate. This governing equation is forth order partial differential equation. Solving such type of equation analytically is a difficult task. There are very few cases exist whose analytical solution is available in literature. One of this case is discussed in this paper with detailed solution. Result obtained by this analytical solution is compared with finite element solution using FEA tool ANSYS.

Key-Words / Index Term
Thin rectangular flat plate; Transverse Vibrations; Natural frequencies.

How to cite this article
1Vishwaskumar Nakum*, 2Sanketkumar Pansuriya, 1Hirenkumar Pandya, 1Mayankkumar Thummar , “NATURAL FREQUENCIES OF THIN RECTANGULAR FLAT PLATES UNDER TRANSVERSE VIBRATIONS: A REVIEW”, International Journal of Scientific Review and Research in Engineering and Technology, 2, Issue-1, pp.113-122, Dec 2016. DPI:16.10069.IJSRRET.V2.I1.1366