Energy meaning of small-scale effect on free vibration of carbon nanotubes
by Li Ming; Zheng Huiming; Luo Xia; Liu Yang
International Journal of Nanomanufacturing (IJNM), Vol. 10, No. 5/6, 2014

Abstract: The energy meaning of small-scale on free vibration of carbon nanotube is investigated in the present study by energy method. The dynamic governing equation is obtained based on non-local Euler-Bernoulli beam model. It is demonstrated that the virtual work from small-scale effect consists of two part energy, one part is rotatory kinetic energy, and the other is the work at the both ends of beam made by the small-scale effect. Furthermore, the discussions show that, though small-scale effect of inertia and van der Waals force is different, both of them contribute to the energy from rotatory angle.

Online publication date: Sat, 20-Dec-2014

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