A meshless collocation method based on radial basis functions for free and forced vibration analysis of functionally graded plates using FSDT

DOI10.1016/j.enganabound.2020.12.016zbMath1464.74372OpenAlexW3127529090MaRDI QIDQ2662390

Shahram Hosseini, Yavar Anani, Gholamhossein Rahimi

Publication date: 13 April 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.12.016

zbMATH Keywords

radial basis functionsfunctionally graded platesfree and forced vibrationmeshless collocation methodmodified LOOCV algorithm

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Spectral and related methods applied to problems in solid mechanics (74S25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical radial basis function approximation (65D12)

Related Items (8)

New refined higher-order shear deformation theories for functionally graded plates conforming to graded variations of material properties ⋮ Experimental and numerical analysis of hyperelastic plates using Mooney-Rivlin strain energy function and meshless collocation method ⋮ A 3D meshless radial basis reproducing kernel particle model for elastoplastic analysis of temperature-dependent FG plates resting on Winkler/Pasternak foundation ⋮ A meshless collocation method on nonlinear analysis of functionally graded hyperelastic plates using radial basis function ⋮ The transverse vibration of Mindlin rectangular plates with internal elastic supports and arbitrary boundary supports ⋮ A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates ⋮ Modified strain gradient plate model for nonlinear dynamics of sinusoidal impulsive actuated porous/piezoelectric laminated microharvesters ⋮ The elastic dynamics analysis of FGM using a meshless RRKPM

Cites Work

• Trigonometric variable shape parameter and exponent strategy for generalized multiquadric radial basis function approximation
• The static and free vibration analysis of a nonhomogeneous moderately thick plate using the meshless local radial point interpolation method
• A random variable shape parameter strategy for radial basis function approximation methods
• Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory
• On the optimal shape parameters of radial basis functions used for 2-D meshless methods
• Free vibration of moderately thick functionally graded plates by a meshless local natural neighbor interpolation method
• A simple FSDT-based meshfree method for analysis of functionally graded plates
• On the optimal shape parameters of distinct versions of RBF meshless methods for the bending analysis of plates
• Free vibration analysis of laminated composite plates using meshless finite volume method
• Searching for an optimal shape parameter for solving a partial differential equation with the radial basis functions method
• Enhanced meshfree method with new correlation functions for functionally graded plates using a refined inverse sin shear deformation plate theory
• Three-dimensional free vibrations analysis of functionally graded rectangular plates by the meshless local Petrov-Galerkin (MLPG) method
• Free vibration analysis of FG-CNTRC shell structures using the meshfree radial point interpolation method
• Local radial basis function collocation method for bending analyses of quasicrystal plates
• A new refined simple TSDT-based effective meshfree method for analysis of through-thickness FG plates
• Sparse radial basis function approximation with spatially variable shape parameters
• New analytical free vibration solutions of orthotropic rectangular thin plates using generalized integral transformation
• On choosing ``optimal shape parameters for RBF approximation
• A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function
• Nonlinear flexural analysis of functionally graded plates under different loadings using RBF based meshless method
• Scattered Data Interpolation: Tests of Some Method

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