Aydogdu, MEce, MC2024-06-122024-06-1220060093-6413https://doi.org/10.1016/j.mechrescom.2005.08.002https://hdl.handle.net/20.500.14551/23552Buckling and vibration of a rectangular isotropic plate which has non-ideal simply supported boundary conditions along one of its edges are investigated. It is assumed that one of the edges of the plate allows a small non-zero deflection and a small non-zero moment. Externally applied in-plane loads are considered to be parallel and perpendicular to the edge where non-ideal boundary conditions are present in the buckling problem. Analytical solutions of the buckling and vibration problems are obtained by using the Linshtead-Poincare perturbation technique. Improved buckling loads and natural frequencies are determined for various values of the aspect ratio of the plate. (C) 2005 Elsevier Ltd. All rights reserved.en10.1016/j.mechrescom.2005.08.002info:eu-repo/semantics/closedAccessRectangular Isotropic PlatesVibrationBucklingNon-Ideal Boundary ConditionsPerturbationRayleigh-Ritz MethodOrthogonal PolynomialsFrequenciesArticle334532540Q3WOS:0002368377000112-s2.0-33645385878Q2