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Research Journal of Science and Technology
Year : 2018, Volume : 10, Issue : 4
First page : ( 237) Last page : ( 243)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2018.00034.7

Mechanical Vibration of Orthotropic Square Plate with Clamped Boundary Conditions

Sharma Ashish Kumar1,*, Vandna2,**, Verma Vijyeta2,***

1Dept. of Mathematics, IEC University. Baddi, H.P, India

2Research Scholar, Dept. of Mathematics, IEC University, Baddi, H.P, India

*Corresponding Author E-mail: ashishk482@gmail.com



Online published on 27 December, 2018.


A mathematical model is constructed to support the engineers in designing numerous mechanical structures mostly used in satellite and aeronautical engineering. The present work analyses the vibration behavior of non-homogeneous orthotropic visco-elastic square plate of parabolically varying thickness on the idea of classical plate theory while the all edges are clamped and are subjected to parabolically thermal variation. For non-homogeneity of the plate material is far assumed that the density of the plate material varies parabolically along the x-direction and y-direction. For visco-elastic substances, primary elastic and viscous factors are mixed. The Kelvin version for visco-elasticity is taken into consideration right here that is a mixture of elastic and viscous elements related in parallel. Rayleigh-Ritz approach is used to assess the essential frequencies. Each modes of the frequency are calculated with the aid of the trendy computational approach i.e. MATLAB, for the various values of taper parameters and temperature gradient. All the outcomes are concluded in the graphs.



Visco-elastic, square plate, vibration, thermal gradient, taper constant.


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