Abstract
The nonlinear thermal vibration behavior of a single-walled carbon nanotube (SWCNT) is investigated by molecular dynamics simulation and a nonlinear, nonplanar beam model. Whirling motion with energy transfer between flexural motions is found in the free vibration of the SWCNT excited by the thermal motion of atoms where the geometric nonlinearity is significant. A nonlinear, nonplanar beam model considering the coupling in two vertical vibrational directions is presented to explain the whirling motion of the SWCNT. Energy in different vibrational modes is not equal even over a time scale of tens of nanoseconds, which is much larger than the period of fundamental natural vibration of the SWCNT at equilibrium state. The energy of different modes becomes equal when the time scale increases to the microsecond range.
Highlights
Energy flow is the essential characteristic that distinguishes nonequilibrium from equilibrium states.[1]
The amplitudes in the y direction and the z direction do not remain constant, but as one falls, another rises, shown in During free vibration of the single-walled carbon nanotube (SWCNT), the longitudinal root mean squared (RMS) amplitude is less than 6% of the transverse RMS amplitude, and it is reasonable to assume the SWCNT
A nonlinear, nonplanar beam model considering the coupling of transverse vibrations is constructed to understand the nonlinear dynamics of the cantilevered SWCNT
Summary
Energy flow is the essential characteristic that distinguishes nonequilibrium from equilibrium states.[1]. To the best knowledge of the authors, few studies have investigated the influence of geometric nonlinearities on the energy transfer between thermal vibration modes of CNTs
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