A nonlocal meshless solution for flexural vibrations of double-walled carbon nanotubes

作者：

Highlights：

• Free lateral vibrations of DWCNTs with arbitrary boundary conditions are studied.

• DWCNTs are modeled based on the nonlocal Rayleigh beam theory.

• An efficient meshfree approach is developed for solving the governing equations.

• The role of influential factors on the flexural frequencies of DWCNTs is addressed.

• Vibration mode shapes of DWCNTs under different conditions are extracted.

摘要

•Free lateral vibrations of DWCNTs with arbitrary boundary conditions are studied.•DWCNTs are modeled based on the nonlocal Rayleigh beam theory.•An efficient meshfree approach is developed for solving the governing equations.•The role of influential factors on the flexural frequencies of DWCNTs is addressed.•Vibration mode shapes of DWCNTs under different conditions are extracted.

论文关键词：Free transverse vibration,Vibration mode shapes,Double-walled carbon nanotubes (DWCNTs),Nonlocal Rayleigh beam theory,Reproducing kernel particle method (RKPM)

论文评审过程：Available online 18 March 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.01.015