Non-local Effect on Non-linear Vibration Characteristics of Nano-beams

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (4) : 158-162.

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Non-local Effect on Non-linear Vibration Characteristics of Nano-beams

Canchang Liu1,2, Jinhao Qiu1, Sun Huiyu1,Ji Hongli1, Liu Lu1,2

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Abstract

Non-linear vibrational characteristics of nano-beams are studied taking into account the non-local effect. The physical model is built based on the continue body theory and the effect of the axial elongation for the nano-beam. The dynamic equations are derived based on the non-local effect. The natural frequency is gotten and the principal resonance is studied considering non-local effect and axial nonlinear elongation. The numerical results show that the non-local effect has effect on the natural frequency and the relationship between frequency and amplitude.

Key words

vibration / nano-beam / non-local elasticity effect / non-linear model / multi-scales

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Canchang Liu;Jinhao Qiu;Sun Huiyu;Ji Hongli;Liu Lu;. Non-local Effect on Non-linear Vibration Characteristics of Nano-beams[J]. Journal of Vibration and Shock, 2013, 32(4): 158-162