Numerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using the Rayleigh-Ritz method

DOI<1685::AID-NME562>3.0.CO;2-9 10.1002/(SICI)1097-0207(19990420)44:11<1685::AID-NME562>3.0.CO;2-9zbMath0932.74079OpenAlexW1990009448MaRDI QIDQ4263986

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Publication date: 13 March 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990420)44:11<1685::aid-nme562>3.0.co;2-9

zbMATH Keywords

contact problemconvergence characteristicselastic bilateral plate bucklingpolynomial-based displacement functions

Mathematics Subject Classification ID

Related Items (13)

Analysis of general quadrilateral orthotropic thick plates with arbitrary boundary conditions by the Rayleigh-Ritz method ⋮ Unilateral contact buckling of lightly profiled skin sheets under compressive or shearing loads ⋮ Bending of clamped orthotropic thin plates: polynomial solution ⋮ The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review ⋮ Nonlinear buckling analysis of laminated composite curved panels constrained by Winkler tensionless foundation ⋮ Local buckling of profiled skin sheets resting on tensionless elastic foundations under in-plane shear loading ⋮ Thermal post-buckling analysis of square plates resting on elastic foundation: a simple closed-form solutions ⋮ Shear buckling of infinite plates resting on tensionless elastic foundations ⋮ Shell-tensionless foundation interaction and nonlinear thermoelastic stability analysis of laminated composite cylindrical panels ⋮ Buckling analysis of symmetrically laminated composite plates including the effect of variable pre-stress field using the Ritz method ⋮ Contact buckling and postbuckling of thin rectangular plates ⋮ A review and study on Ritz method admissible functions with emphasis on buckling and free vibration of isotropic and anisotropic beams and plates ⋮ Free vibration and buckling analysis of plates using B-spline wavelet on the interval Mindlin element

Cites Work

• On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates
• Free vibration analysis of rectangular plates using orthogonal plate function
• Unilateral buckling of thin elastic plates by the boundary integral equation method
• Analysis of skew plate problems with various constraints
• On the Use of Beam Functions for Problems of Plates Involving Free Edges
• On the Numerical Convergence of Discretization Methods for the Free Vibrations of Beams With Attached Inertia Elements

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