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

Citation:

Sekhri A, Benmansour T. Equivalents methods to Investigate Free Vibration of Isotropic and Orthotropic Thin Rectangular Plate with Non-Homogenous Supports. https://www.praiseworthyprize.org/latest_issues/IREME-latest/IREME_vol_5_n_7.html [Internet]. 2011;5 (7) :1196-1207.
equivalente_methods_to_investigate_free_vibration_of_isotropic_and_orthotropic_thin_rectangular_plate.pdf860 KB

Abstract:

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 non-homogenous 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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Last updated on 10/09/2022