Vibrations of Mindlin Sectorial Plates Using the Ritz Method Considering Stress Singularities
نویسندگان
چکیده
منابع مشابه
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In the present paper, the free vibration of moderately thick trapezoidal plates has been studied. The analysis is based on the Mindlin shear deformation theory. The solutions are determined using the pb-2 Rayleigh-Ritz method. The transverse displacement and the rotations of the plate are approximated by Ritz functions defined as two dimensional polynomials of the trapezoidal domain variables a...
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1Department of Computational Science, National University of Singapore, Singapore 117543 2Department of Mathematics, Michigan State University, East Lansing, MI 48824, U.S.A. 3Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI 48824, U.S.A. 4School of Engineering and Industrial Design and Centre for Construction Technology and Research, University of ...
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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...
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A new family of locking-free finite elements for shear deformable Reissner-Mindlin plates is presented. The elements are based on the "tangential-displacement normal-normal-stress" formulation of elasticity. In this formulation, the bending moments are treated as separate unknowns. The degrees of freedom for the plate element are the nodal values of the deflection, tangential components of the ...
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ژورنال
عنوان ژورنال: Journal of Vibration and Control
سال: 2006
ISSN: 1077-5463,1741-2986
DOI: 10.1177/1077546306065396