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Thermal Gradient Effect on Frequencies of a Rectangular Plate of Varying Thickness in Both Directions
Abstract
An analysis and numerical results are presented for frequencies of rectangular plates of non-linear thickness variation in x-direction and linearly in y-direction with linearly temperature distribution on the basis of classical plate theory. An approximate but quiet convenient frequency equation is derived by using Rayleigh-Ritz technique with a two term deflection function. Effect of the thermal gradient together with taper constants on the natural frequencies of vibration a clamped rectangular plate is illustrated for the first two modes of vibration. The results have been presented in tabular forms.
Keywords
non-linear, thickness variation, thermal, vibration, clamped, rectangular plate
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