Nonlinear oscillations of a double-walled carbon nanotube

作者：Hawwa Muhammad A; Al Qahtani Hussain M^*

来源：Computational Materials Science, 2010, 48(1): 140-143.

DOI：10.1016/j.commatsci.2009.12.020

• Carbon nanotubes
• Continuum modeling
• Nonlinear oscillations
• Chaotic behavior

An elastic continuum approach for modeling the nonlinear vibration of a double-walled carbon nanotubes under harmonic excitation is presented. The carbon nanotube is modeled as two doubly clamped beams coupled through nonlinear continuous springs representing van der Waal bonds. Geometric non-linearity is included due to mid-plane stretching. A Galerkin approach is used to discretize the integro-partial differential equation leading to two nonlinear coupled second-order ordinary differential governing equations. The numerically obtained dynamic response to a primary-resonance exciting the co-axially first and second vibration modes is investigated through frequency response, periodic and chaotic motions characteristics.

• 出版日期2010-3
• 单位中国石油大学（北京）