<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Abdelhak Sekhri</style></author><author><style face="normal" font="default" size="100%">Toufik Benmansour</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Equivalents methods to Investigate Free Vibration of Isotropic and Orthotropic Thin Rectangular Plate with Non-Homogenous Supports</style></title><secondary-title><style face="normal" font="default" size="100%">https://www.praiseworthyprize.org/latest_issues/IREME-latest/IREME_vol_5_n_7.html</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2011</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">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</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">5</style></volume><pages><style face="normal" font="default" size="100%">1196-1207</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;i&gt;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;amp; 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&lt;/i&gt;&lt;em&gt;.&lt;/em&gt;</style></abstract><issue><style face="normal" font="default" size="100%">7</style></issue></record></records></xml>