Nonlinear vibration analysis of double-walled carbon nanotubes based on nonlocal elasticity theory

DOI10.1016/j.apm.2012.03.032zbMath1351.74039OpenAlexW2024973369MaRDI QIDQ350426

Bo Fang, Ye Tang, Ya-Xin Zhen, Chi-Ping Zhang

Publication date: 7 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.03.032

zbMATH Keywords

geometric nonlinearityharmonic balance methodnonlocal elasticity theorynonlinear van der Waals forces

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanical theories (74A60)

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Cites Work

• Nonlocal theories for bending, buckling and vibration of beams
• Dynamical behaviors of fluid-conveyed multi-walled carbon nanotubes
• The thermal effect on axially compressed buckling of a double-walled carbon nanotube
• Application of nonlocal beam models for carbon nanotubes
• Nonlocal polar elastic continua
• Nonlocal Continuum Field Theories

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