Three-dimensional free vibrations analysis of functionally graded rectangular plates by the meshless local Petrov-Galerkin (MLPG) method

DOI10.1016/j.amc.2017.01.049zbMath1411.74030OpenAlexW2588438258MaRDI QIDQ1735414

Xianqiang Yang

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.049

zbMATH Keywords

functionally graded materialnatural frequenciesthree-dimensional theory of elasticitymeshless local Petrov-Galerkin method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

A meshfree approach for free vibration analysis of ply drop-off laminated conical, cylindrical shells and annular plates ⋮ Free vibration analysis of laminated rectangular plates with varying thickness using Legendre-radial point interpolation method ⋮ A meshless collocation method based on radial basis functions for free and forced vibration analysis of functionally graded plates using FSDT ⋮ A local gradient smoothing method for solving strong form governing equation ⋮ Vibration analysis of closed laminate conical, cylindrical shells and annular plates using meshfree method ⋮ A new meshfree approach for three-dimensional free vibration analysis of thick laminated doubly-shell of revolution ⋮ The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems

Cites Work

• Three-dimensional static analysis of thick functionally graded plates by using meshless local Petrov-Galerkin (MLPG) method
• Meshless approach for thermo-mechanical analysis of functionally graded materials
• The static and free vibration analysis of a nonhomogeneous moderately thick plate using the meshless local radial point interpolation method
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• An \(h\)-\(p\) adaptive method using clouds
• Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
• Stress analysis in anisotropic functionally graded materials by the MLPG method
• Analysis of thick plates by using a higher-order shear and normal deformable plate theory and MLPG method with radial basis functions
• The natural element method in solid mechanics
• Element‐free Galerkin methods
• THE PARTITION OF UNITY METHOD
• Reproducing kernel particle methods
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