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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 1
First page : ( 71) Last page : ( 75)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00011.0

Vibration of Clamped Non-homogeneous Square Plate with non-uniform varying Thickness and Thermal Effect

Sharma Ashish Kumar1,*, Dhiman Manoj Kumar2, Verma Vijyeta2, Vandana2

1Department of Mathematics, IEC University, Baddi, (Solan), H.P., India

2Research Scholar, Department of Mathematics, IEC University, Baddi, (Solan), H.P., India

*Corresponding Author E-mail: ashishk482@gmail.com, m.manojdhiman@gmail.com, v.vermma286@gmail.com, vandnamehta1991@gmail.com

Online published on 12 January, 2017.

Abstract

Plates with the variable thickness have great importance in the modern technology. A simple model is presented to study the effect of thermal gradient on vibration of non-homogenous square plate with varying thickness in x and y directions. Rayleigh-Ritz technique has been applied to obtain corresponding equation of frequency. The natural frequency for the first two modes of vibration is calculated for different values of thermal gradient, taper constant and non-homogenous constant at various points. All the results are presented in graphical and tabular form.

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Keywords

visco-elastic, vibration, square plate, thermal gradient, taper constant, frequency.

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