《Nonlinear Vibration-2》.pdf

Physica E 43 (2011) 1171–1178 Contents lists available at ScienceDirect Physica E journal homepage: /locate/physe Nonlocal Timoshenko beam model for the large-amplitude vibrations of embedded multiwalled carbon nanotubes including thermal effects R. Ansari n, H. Ramezannezhad Department of Mechanical Engineering, University of Guilan, P.O. Box 3756 Rasht, Iran a r t i c l e i n f o a b s t r a c t Article history: A nonlocal Timoshenko beam model is developed to study the nonlinear vibrations of embedded Received 30 May 2010 multiwalled carbon nanotubes (MWCNTs) in thermal environments. The Timoshenko beam model, Received in revised form unlike its Bernoulli–Euler beam counterpart, takes the effects of transverse shear deformation and 3 January 2011 rotary inertia into consideration. These effects become more significant for short-length nanotubes that Accepted 26 January 2011 are normally encountered in applications such as nanoprobes. The nested nanotubes are coupled via Available online 17 February 2011 the van der Waals (vdW) force that considers interactions between adjacent and non-adjacent nested nanotubes. The set of coupled nonlinear equations are then analytically solved using the harmonic balance approach. The effects of small-scale parameter, nanotube geometries,