Natural frequencies of simply supported circular plates

Abstract Although the problem of finding the natural frequencies of free vibration of a simply supported circular plate has a straightforward solution, very few numerical results are available in the literature. In the present work accurate (six significant figure) non-dimensional frequency parameters (λ2) are given for all values of n + s ⩽ 10, where n and s are the numbers of nodal diameters and internal nodal circles, respectively, and for Poisson's ratios 0, 0·1, …, 0·5. Simplified formulas for determining additional values of λ2 for large s are derived by the use of asymptotic expansions.