Natural frequencies of rectangular plates with free edges

Abstract This note presents vibration analysis of isotropic rectangular plates with free edges by the Rayleigh-Ritz method with B-spline functions. To show the accuracy of the present method, the results are compared with existing results based on other numerical methods and found to be in good agreement. Accurate frequencies of rectangular plates are analyzed for different aspect ratios and boundary conditions. The effects of Poisson's ratio on natural frequencies of square plates with free edges are also investigated.