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Investigation on the Buckling of Rectangular Plates Subjected to Nonlinearly Distributed In-plane Loads Along Their Edges

Author: TangYuHua
Tutor: WangZuoWei
School: Nanjing University of Aeronautics and Astronautics
Course: Solid Mechanics
Keywords: Flexion Nonlinear distributed load Rectangular plate LAMINATES Elasticity
CLC: O343.9
Type: Master's thesis
Year: 2009
Downloads: 51
Quote: 0
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Abstract


Sheet structure as the structural elements that are widely used in engineering , and its stability has been of concern , and with the composite materials are increasingly used in areas such as aerospace , construction , machinery and ship , the stability of the composite board the designers of great concern . However, most of the literature about the research in this area is the edge of the board by a uniformly distributed load or linearly distributed loads , nonlinear distributed loads rectangular plate buckling less , especially less composite board , Therefore, the adoption of a flexible mechanical method to analyze the edge by the nonlinear distribution of surface loads rectangular plate buckling . First , given the edge by the nonlinear distribution of surface stress loads rectangular plate surface solution side load distribution of the same form and distribution of different forms , both cases were given to meet all the stress boundary conditions stress function expression , and specific examples calculated differential quadrature quadrature method and finite element method results found , this method provides a considerable computational accuracy with two numerical methods . Then , respectively, for solving the isotropic plate and symmetric laminated composite plate buckling load , deflection function given polynomial forms for symmetric laminated plates containing isotropic plate clamped edges , and discuss the aspect ratio , ply angle , Shop the layers number of boundary support conditions of symmetric laminated plate buckling load results differential quadrature method and finite element method results agree well , to verify the correctness of the proposed method and accuracy . In addition also pointed out by calculating the symmetric laminated plate bending and torsion coupling exists in the literature using the double triangular series expansion as four sides simply supported laminated plate deflection function of the layer plywood stiffness , the buckling load is too large , and error increases with the enhancement of the coupling effect .

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CLC: > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Elasticity > Elastic stability problems
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