Abstract
Solutions of the problem of flexural vibration of clamped rectangular orthotropic plates are initially obtained by a modified Bolotin's asymptotic method and these solutions are then used as admissible functions in the Rayleigh-Ritz method. Estimates of frequencies obtained by the (i) modified Bolotin, (ii) Rayleight and (iii) Rayleigh-Ritz methods are presented. Accuracies of these estimates are discussed in detail. It is shown that the percentage difference between the Bolotin and Rayleigh estimates decreases to zero with H335-1 tending to zero as well as tending to infinity. It is found that the maximum error is under 4·8% in the Bolotin estimates whereas it is under 0·32% only in the Rayleigh estimates. The present Rayleight estimates are found to be always lower than those obtained from Hearmon's formula. In fact, it is shown that, for large values of H|335-2, the least eigenvalue obtained from Hearmon's formula is more than 50% higher than the true value.
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