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IJSTR >> Volume 9 - Issue 4, April 2020 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

A Spline Technique Solution For Vibrations Analysis Of Rectangular Plate Having Parabollically Varying Thickness Considering The Parameters "Thermally Induced Non-Homogeneity", Damping And Elastic Foundation

[Full Text]



Manu Gupta, Ajendra Kumar, Ankit Kumar



Non-homogeneity; Elastic foundation; Damping; Thermal gradient; spline technique,Taperness.



A mathematical solution to a governing model plate equation is given here in which we study effect of plate parameters namely thermally induced non –homogeneity, damping and elastic foundation on rectangular plate of parabollically varying thickness. The model is solved using quintic spline interpolation technique. Numerical results which consist of three modes of frequency parameter for the rectangular plate are calculated for two assumed boundary conditions (BC’s) viz. CL-SS-CL-SS (clamped - clamped) and CL-SS-SS-SS (clamped –simply supported). Comparisons of results obtained by the quintic spline interpolation technique with those that are available in the literature are also presented. Numeric results are obtained and represented in tabular and graphical form.



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