Closed form solutions for free vibrations of rectangular Mindlin plates |
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| Authors: | Yufeng Xing Bo Liu |
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| Institution: | The Solid Mechanics Research Center, Beihang University, 100191 Beijing, China |
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| Abstract: | A new two-eigenfunctions theory, using the amplitude deflection and the generalized curvature as two fundamental eigenfunctions, is proposed for the free vibration solutions of a rectangular Mindlin plate. The three classical eigenvalue differential equations of a Mindlin plate are reformulated to arrive at two new eigenvalue differential equations for the proposed theory. The closed form eigen-solutions, which are solved from the two differential equations by means of the method of separation of variables ... |
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| Keywords: | Mindlin plate Free vibration Closed form solution Separation of variable |
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