Applied Mathematics

Volume 1, Issue 5 (November 2010)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

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Study the Thermal Gradient Effect on Frequencies of a Trapezoidal Plate of Linearly Varying Thickness

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DOI: 10.4236/am.2010.15047    5,528 Downloads   9,679 Views  Citations

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ABSTRACT

In this paper, effect of thermal gradient on vibration of trapezoidal plate of varying thickness is studied. Thermal effect and thickness variation is taken as linearly in x-direction. Rayleigh Ritz technique is used to calculate the fundamental frequencies. The frequencies corresponding to the first two modes of vibrations are obtained for a trapezoidal plate for different values of taper constant, thermal gradient and aspect ratio. Results are presented in graphical form.

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A. Gupta and P. Sharma, "Study the Thermal Gradient Effect on Frequencies of a Trapezoidal Plate of Linearly Varying Thickness," Applied Mathematics, Vol. 1 No. 5, 2010, pp. 357-365. doi: 10.4236/am.2010.15047.

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