An Analytical Investigation on Thermally Induced Vibrations of Non-homogeneous Tapered Rectangular Plate
The goal of the present investigation is to study the temperature-thickness coupling problem of non-homogeneous rectangular plate with varying thickness. Authors assumed that temperature and thickness of the plate vary exponentially in x-direction only. Four sided clamped boundary condition with two term deflection function is considered. Due to non-homogeneity present in the plate’s material, variation in poisson’s ratio is assumed exponential in x-direction. An authentic and quite convenient Rayleigh–Ritz technique has been applied to obtain the fundamental frequencies for the first two modes of vibration. The effect of structural parameters such as taper constant, thermal gradient, non-homogeneity constant and aspect ratio on time period and deflection has been illustrated for first two modes of vibration. Results are calculated with great accuracy and presented in tabular form.
KeywordsVibration Thermal gradient Taper constant Aspect ratio Non-homogeneity constant Deflection
- 6.Chakraverty, S.: Vibrations of Plate, vol. 10. Taylor and Francis, Boca Raton (2009)Google Scholar
- 11.Leissa, A.W.: Vibrations of plate. In: NASA SP-160 in U. S. Govt, Printing Office (1969)Google Scholar
- 13.Li, W.L.: Vibration analysis of rectangular plate with general elastic boundary supports. J. Sound Vib. 273, 619–635 (2004)Google Scholar
- 14.Patel, D.S., Pathan, S.S., Bhoraniya, I.H.: Influence of stiffeners on the natural frequencies of rectangular plate with simply supported edges. Int. J. Eng. Res. Technol. 1, 1–6 (2012)Google Scholar