Winkler plate bending problems by a truly boundary-only boundary particle method

DOI10.1007/s00466-009-0411-6zbMath1259.74019OpenAlexW2099637599MaRDI QIDQ1034774

Wen Chen, Zhuo-Jia Fu, Wei Yang

Publication date: 6 November 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-009-0411-6

zbMATH Keywords

meshfreeboundary particle methodboundary-onlymodified fundamental solutionrecursive composite multiple reciprocity methodWinkler plate

Mathematics Subject Classification ID

Related Items (22)

Analytical bending solutions of thin plates with two adjacent edges free and the others clamped or simply supported using finite integral transform method ⋮ A Mathematical Analysis Method for Bending Problem of Clamped Shallow Spherical Shell on Elastic Foundation ⋮ The regular hybrid boundary node method in the bending analysis of thin plate structures subjected to a concentrated load ⋮ Singular boundary method using time-dependent fundamental solution for scalar wave equations ⋮ Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method ⋮ Boundary element method based vibration analysis of elastic bottom plates of fluid storage tanks resting on Pasternak foundation ⋮ A pure boundary element analysis of Reissner's shear deformable plates subjected to higher-order polynomial loading ⋮ Simulating thin plate bending problems by a family of two-parameter homogenization functions ⋮ A multilayer method of fundamental solutions for Stokes flow problems ⋮ The localized method of fundamental solutions for 2D and 3D inhomogeneous problems ⋮ Shape variable radial basis function and its application in dual reciprocity boundary face method ⋮ Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems ⋮ Fourier differential quadrature method for irregular thin plate bending problems on Winkler foundation ⋮ On the ill-conditioning of the MFS for irregular boundary data with sufficient regularity ⋮ Two-dimensional generalized finite integral transform method for new analytic bending solutions of orthotropic rectangular thin foundation plates ⋮ Solving Fourth-Order PDEs using the LMAPS ⋮ Boundary particle method for Laplace transformed time fractional diffusion equations ⋮ Stress analysis for multilayered coating systems using semi-analytical BEM with geometric non-linearities ⋮ Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems ⋮ High order continuation algorithm and meshless procedures to solve nonlinear Poisson problems ⋮ Nonlinear flexural analysis of functionally graded plates under different loadings using RBF based meshless method ⋮ Multilevel RBF collocation method for the fourth-order thin plate problem

Uses Software

• Regularization tools

Cites Work

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• Local integral equation method for viscoelastic Reissner-Mindlin plates
• Some comments on the ill-conditioning of the method of fundamental solutions
• The method of fundamental solutions for elliptic boundary value problems
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
• A meshless, integration-free, and boundary-only RBF technique
• Meshfree boundary particle method applied to Helmholtz problems
• Meshless local boundary integral equation method for simply supported and clamped plates resting on elastic foundation.
• Analysis of thin plates by the element-free Galerkin method
• Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
• Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
• General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates
• Novel meshless method for solving the potential problems with arbitrary domain
• The method of fundamental solutions with dual reciprocity for some problems in elasticity
• A meshless method for Kirchhoff plate bending problems
• Analysis of thick functionally graded plates by local integral equation method
• Regularized meshless method for antiplane shear problems with multiple inclusions
• Dual reciprocity method using compactly supported radial basis functions
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• Modified Overhauser elements for approximation of boundary densities in regularized BEM formulations
• Meshless analysis of potential problems in three dimensions with the hybrid boundary node method
• Analysis of orthotropic thick plates by meshless local Petrov–Galerkin (MLPG) method
• Some comments on the use of radial basis functions in the dual reciprocity method

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