Free Transverse Vibration Analysis of Thin Rectangular Plates Having Arbitrarily Varying Non-Homogeneity Along Two Concurrent Edge

Kumar, Avinash (2018) Free Transverse Vibration Analysis of Thin Rectangular Plates Having Arbitrarily Varying Non-Homogeneity Along Two Concurrent Edge. MTech thesis.

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Abstract

In this paper, I presented the analysis and numerical results for free transverse vibration of thin rectangular plates having arbitrarily varying non-homogeneity with the in-plane coordinates along the two concurrent edges. For finding the general governing differential equation first used the Kirchhoff’s plate theory by considering their assumptions.

After finding the governing equation for the plate. For the non- homogeneity a linear variation for Young’s modulus and density of the plate has been assumed. Finite difference method (FDM) has been used to obtain the eigen value problem for such model plate for two different boundary condition at the edge namely (i) CCCC fully clamped (ii) CSCS two opposites are clamped and other two are simply supported.

By solving these eigen value problem using MATLAB, the lowest three eigen value have been reported as the first three natural frequencies for the three mode of vibration. The effect of various plate parameters such on the vibration characteristics has been analysed. Three dimensional mode shape has been plotted.

Item Type:Thesis (MTech)
Uncontrolled Keywords:Non-homogeneity; Flexural rigidity; FDM; Non-dimensional frequency parameters
Subjects:Engineering and Technology > Mechanical Engineering > Machine Design
Divisions: Engineering and Technology > Department of Mechanical Engineering
ID Code:9957
Deposited By:IR Staff BPCL
Deposited On:16 May 2019 15:55
Last Modified:16 May 2019 15:55
Supervisor(s):Behera, Rabindra Kumar

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