Nonlinear vibrations of embedded multi-walled carbon nanotubes using a variational approach

DOI10.1016/j.mcm.2010.10.029zbMath1217.74056OpenAlexW1999899167MaRDI QIDQ552102

Milad Hemmatnezhad, Reza Ansari

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.029

zbMATH Keywords

nonlinear vibrationselastic mediumvariational iteration methodcarbon nanotubes

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanical theories (74A60) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (5)

Response of multiwall carbon nanotubes to impact loading ⋮ Nonlocal beam theory for nonlinear vibrations of embedded multiwalled carbon nanotubes in thermal environment ⋮ A nonlocal meshless solution for flexural vibrations of double-walled carbon nanotubes ⋮ Analytical and computational studies of the nonlinear vibrations of SWCNTs embedded in viscous elastic matrix using KBM method ⋮ Nonlinear dynamic analysis of nonlocal composite laminated toroidal shell segments subjected to mechanical shock

Cites Work

• Resonance frequency of chiral single-walled carbon nanotubes using Timoshenko beam theory
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• He's variational iteration method for solving linear and non-linear systems of ordinary differential equations
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Exact and numerical solutions for non-linear Burger's equation by VIM
• He's variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation
• Variational iteration method for solving generalized Burger-Fisher and Burger equations
• Construction of solitary solution and compacton-like solution by variational iteration method
• Terahertz Vibration of Short Carbon Nanotubes Modeled as Timoshenko Beams
• Application of HPM to the nonlinear vibrations of multiwalled carbon nanotubes
• Variational iteration method for autonomous ordinary differential systems

This page was built for publication: Nonlinear vibrations of embedded multi-walled carbon nanotubes using a variational approach