Equivalents Methods to Investigate Free Vibration of Isotropic and Orthotropic Thin Rectangular Plate with Non-Homogeneous Supports

Sekhri, A.; Benmansour, T.; Cheridi, H.
November 2011
International Review of Mechanical Engineering;Nov2011, Vol. 5 Issue 7, p1196
Academic Journal
Evaluating approximate frequency for isotropic and orthotropic plates is a complicated problem, thus exploiting the general formula of Hearmon, it is proposed in this investigation to calculate the fundamental mode of isotropic and orthotropic plates with two nonhomogenous supports (cases: SCSC & SSCC). For the higher mode of modal frequency, a particular form of Rayleigh's method is used leading to a simple procedure for calculating the fundamental frequency. A new simple and qualitative method is proposed and has permitted a good strategy to evaluate the quality of results obtained. In order to verify the precision of the proposed qualitative method, a confrontation with finite element method using ANSYS software was done. The complementary utilization of Hearmon's principle and the qualitative method has also permitted a successful advance in evaluating higher modes. This combined procedure gives a strategy of a vibratory analysis of isotropic and orthotropic plates; it permits the satisfaction of the preliminary conception needs of the structure to be studied, and also provides a qualitative method for expertise and investigation of dynamical responses. In all cases, the dynamic investigation is based on some evaluation criteria such as: limit conditions effect, plate dimensions ratio effect, material effect and mode number effect.


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