Mode shapes and frequencies of non-homogeneous thin rectangular plates

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In this paper free transverse vibrations of isotropic rectangular plates having arbitrarily varying non-homogeneity with the in-plane coordinates along the two concurrent edges have been analysed on the basis of Kirchhoff plate theory. For the non-homogeneity, a general type of variation for Young’s modulus and density of the plate material has been assumed. GDQ method has been used to solve the problem.