A numerical model based on orthogonal plate functions for vibration of ring supported elliptical plates

摘要

An accurate and computationally efficient numerical method is proposed for vibration analysis of thin elliptical plates lying on a circular or an elliptical ring support. A set of orthogonal two-dimensional plate functions generated through the Gram-Schmidt recurrence formula is used as the admissible functions in the Rayleigh-Ritz approach. Natural frequencies and mode shapes are obtained by minimizing the functional with respect to the unknown coefficients. Several numerical examples are solved and the obtained results are carefully examined by convergence tests and compared with available results in the literature. Close agreement is achieved in all cases.