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Free Vibration and Buckling of Rectangular Plates under Nonuniform InPlane Edge Shear Loads
<?xml version="1.0" encoding="UTF-8"?> <article key="pdf/10010603" mdate="2019-06-04 00:00:00"> <author>T. H. Young and Y. J. Tsai</author> <title>Free Vibration and Buckling of Rectangular Plates under Nonuniform InPlane Edge Shear Loads</title> <pages>506 - 518</pages> <year>2019</year> <volume>13</volume> <number>7</number> <journal>International Journal of Aerospace and Mechanical Engineering</journal> <ee>https://publications.waset.org/pdf/10010603</ee> <url>https://publications.waset.org/vol/151</url> <publisher>World Academy of Science, Engineering and Technology</publisher> <abstract>A method for determining the stress distribution of a rectangular plate subjected to two pairs of arbitrarily distributed inplane edge shear loads is proposed, and the free vibration and buckling of such a rectangular plate are investigated in this work. The method utilizes two stress functions to synthesize the stressresultant field of the plate with each of the stress functions satisfying the biharmonic compatibility equation. The sum of stressresultant fields due to these two stress functions satisfies the boundary conditions at the edges of the plate, from which these two stress functions are determined. Then, the free vibration and buckling of the rectangular plate are investigated by the Galerkin method. Numerical results obtained by this work are compared with those appeared in the literature, and good agreements are observed. </abstract> <index>Open Science Index 151, 2019</index> </article>