G.K. Ramaiah

TL;DR: In this paper, the authors used the Rayleigh-Ritz method with simple polynomials as admissible functions for obtaining natural frequencies of transversely vibrating polar orthotropic annular plates.

TL;DR: In this article, the classical Rayleigh-Ritz method in conjunction with suitable co-ordinate transformations is found to be effective for accurate estimation of natural frequencies of circumferentially truncated circular sector plates with simply supported straight edges.

TL;DR: In this paper, the first twenty eigenvalues in each of the three (four) symmetric groups obtained by the Bolotin, Rayleigh and Rayleigh-Ritz methods are reported.

TL;DR: In this article, a coordinate transformation in the radial direction has been used to obtain effective solutions by the classical Rayleigh-Ritz method, particularly for large hole sizes, over direct analysis.

TL;DR: In this article, a method based on the assumption that the radial bending moment is zero at a nodal circle is shown to yield accurate estimates of natural frequencies corresponding to higher modes of transversely vibrating polar orthotropic annular plates for various combinations of clamped, simply supported and free edge conditions.