@article{jmsa2013132,
author={{Gupta, Arun Kumar and Rana, Kumud and Gupta, Dharma Veer},
title={Effect of Thermal Gradient on Vibration of Non-Homogeneous Parallelogram Plate of Linearly Varying Thickness in Both Directions},
journal={Journal of Mathematical Sciences and Applications},
volume={1},
number={3},
pages={43--49},
year={2013},
url={http://pubs.sciepub.com/jmsa/1/3/2},
abstract={<b> </b> The paper presented here is to study the effect of thermal gradient on vibration of non-homogeneous parallelogram plate of linearly varying thickness in both directions. Thermal induced vibration of non-homogeneous parallelogram plate has been taken as one dimensional temperature distribution in linear from only. For non-homogeneity of the plate material, density is assumed to vary linearly. Using the method of separation of variables; the governing differential equation is solved. An approximate but, quite convenient frequency equation is derived by Rayleigh-Ritz technique with two terms deflection function. The frequencies corresponding to the first two modes of vibration has been computed for a clamped parallelogram plate for different values of non -homogeneity constant, aspect ratio, thermal constant, thickness variation constant and skew angle.},
doi={10.12691/jmsa-1-3-2}
publisher={Science and Education Publishing}
}