Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation

DOI10.1002/nme.150zbMath1169.74657OpenAlexW2037173435MaRDI QIDQ2729187

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Publication date: 18 July 2001

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.150

Mathematics Subject Classification ID

Related Items (13)

Application of mixed differential quadrature method for solving the coupled two-dimensional incompressible Navier-stokes equation and heat equation ⋮ Static analysis of anisotropic doubly-curved shells with arbitrary geometry and variable thickness resting on a Winkler-Pasternak support and subjected to general loads ⋮ Dynamical Analysis of Spherical Structural Elements Using the First-order Shear Deformation Theory ⋮ Static analysis of rectangular thick plates resting on two-parameter elastic boundary strips ⋮ A micromechanics-based analysis of effects of square and hexagonal fiber arrays in fibrous composites using DQEM ⋮ Differential quadrature method for steady flow of an incompressible second-order viscoelastic fluid and heat transfer model ⋮ 2-D solution for free vibrations of parabolic shells using generalized differential quadrature method ⋮ Vibration analysis of spherical structural elements using the GDQ method ⋮ A novel approach for numeric study of 2D biological population model ⋮ Free vibration analysis of laminated composite conical shells reinforced with shape memory alloy fibers ⋮ Generalized higher order layerwise theory for the dynamic study of anisotropic doubly-curved shells with a mapped geometry ⋮ Structural analysis of doubly-curved shells with general boundary conditions ⋮ Static and transient analysis of laminated cylindrical shell panels with various boundary conditions and general lay-ups

Cites Work

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• Differential quadrature for multi-dimensional problems
• A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates
• Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• Two new approximate methods for analyzing free vibration of structural components
• A New Approach In Applying Differential Quadrature To Static And Free Vibrational Analyses Of Beams And Plates
• A NEW APPROACH TO THE DIFFERENTIAL QUADRATURE METHOD FOR FOURTH-ORDER EQUATIONS
• The free vibration of rectangular plates

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