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A Mathematical Model on Visco-Elastic Elliptical Plate to Study First Two Modes of Transverse Vibration


Prof. Subodh Kumar Sharma , Government P.G. College, Ambala Cantt., Haryana, India; Rajni Gupta, Research Scholar, Dept. of Mathematics, Pacific University, Udaipur, Raj., India


Vibration, Visco-Elastic, Elliptical, Plate, Taper Constant


Transverse vibration of elliptical plates has been a subject of study for a long time. The problems of vibration of elliptical, rectangular and circular plates etc have been extensively investigated by many researchers and are well documented. All through understanding of their vibration characteristics along with different thermal conditions is of great importance to engineers and designers making sure reliability in design procedure. In this paper, the elliptical plate material is assumed to be homogeneous, also temperature and thickness varies in x and y directions. To find the result as frequency parameter, Rayleigh Ritz method is applied. Frequency is calculated for two modes different set of value of thermal gradient and taper constant.

Other Details

Paper ID: IJSRDV4I70268
Published in: Volume : 4, Issue : 7
Publication Date: 01/10/2016
Page(s): 414-417

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