Nonlinear vibration control for a nano-beam based on electron tunneling effect

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (7) : 28-34.

JIANG Ruirui, LIU Canchang, LI Lei, QIN Zhichang, WAN Lei, KONG Weixu,ZHOU Changcheng

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Abstract

A nonlinear vibration control method for a nano-beam based on electron tunneling effect was proposed taking Euler-Bernoulli beam as its vibration model. Tunneling effect currents with features of high sensitivity and high accuracy were used to detect vibration signals of the nano-beam. Using displacement and velocity voltage feedback controllers and considering effects of time delay feedback,the time delay nonlinear vibration control equation of the nano-beam based on tunneling effect was established. The amplitude-frequency response equation of the nano-beam’s main resonance was derived with the multi-scale method. The relations among the nano-beam’s nonlinear vibration and parameters,such as,direct-current and alternating one excitation voltages,control gain and time delay were studied,and influence factors to weaken the system nonlinearity and enhance the system stability were analyzed. The results showed that the vibration nonlinearity can be reduced and the system stability can be improved through choosing appropriate control gain and time delay,and properly reducing amplitudes of direct-current and alternating one excitation voltages.

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nonlinear vibration of nanobeam / electron tunneling effect / time delay / stability

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JIANG Ruirui, LIU Canchang, LI Lei, QIN Zhichang, WAN Lei, KONG Weixu,ZHOU Changcheng. Nonlinear vibration control for a nano-beam based on electron tunneling effect[J]. Journal of Vibration and Shock, 2019, 38(7): 28-34

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