RBF-based meshless method for the free vibration of beams on elastic foundations

DOI10.1016/j.amc.2014.09.097zbMath1338.74109OpenAlexW2053751713MaRDI QIDQ298579

F. Blanchet-Sadri, M. Dambrine

Publication date: 21 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.097

zbMATH Keywords

free vibration analysisradial basis functionmeshless methodbeam on elastic foundation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Vibrations in dynamical problems in solid mechanics (74H45) Spectral and related methods applied to problems in solid mechanics (74S25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (3)

Hybrid fundamental solution based finite element method: theory and applications ⋮ Vibration analysis of 2D-functionally graded nanobeams using the nonlocal theory and meshless method ⋮ Radial basis functions and level set method for image segmentation using partial differential equation

Uses Software

• WebPlotDigitizer

Cites Work

• Unnamed Item
• A \(n\)th-order shear deformation theory for the bending analysis on the functionally graded plates
• Free vibration analysis of beams on variable Winkler elastic foundation by using the differential transform method
• Meshless approach for thermo-mechanical analysis of functionally graded materials
• RBF meshless method for large deflection of thin plates with immovable edges
• Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels
• An improved element-free Galerkin method for numerical modeling of the biological population problems
• A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids
• Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach
• Application of radial basis functions to linear and nonlinear structural analysis problems
• Solution of free vibration equations of beam on elastic soil by using differential transform method
• Meshless methods based on collocation with radial basis functions
• RBF-based meshless method for large deflection of thin plates
• Modeling of biological population problems using the element-free kp-Ritz method
• A sixth-order compact finite difference method for non-classical vibration analysis of nanobeams including surface stress effects
• A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function
• RBF-based meshless methods for 2D elastostatic problems
• A meshless method for Kirchhoff plate bending problems
• A higher order beam finite element for bending and vibration problems
• FREE VIBRATION ANALYSIS OF TIMOSHENKO BEAMS AND MINDLIN PLATES BY RADIAL BASIS FUNCTIONS

This page was built for publication: RBF-based meshless method for the free vibration of beams on elastic foundations