@article {24170,
	title = {Equivalents methods to Investigate Free Vibration of Isotropic and Orthotropic Thin Rectangular Plate with Non-Homogenous Supports},
	journal = {https://www.praiseworthyprize.org/latest_issues/IREME-latest/IREME_vol_5_n_7.html},
	volume = {5},
	number = {7},
	year = {2011},
	pages = {1196-1207},
	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 \&amp; SSCC). For the higher mode of modal frequency, a particular form of Rayleigh{\textquoteright}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{\textquoteright}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.},
	url = {https://www.praiseworthyprize.org/latest_issues/IREME-latest/IREME_vol_5_n_7.html$\#$Equivalents_Methods_to_Investigate_Free_Vibration_of_Isotropic_and_Orthotropic_Thin_Rectangular_Plate_with_Non-Homogeneous_Supports},
	author = {Abdelhak Sekhri and Toufik Benmansour}
}
