Piezoelectric control of lateral vibration for monatomic chains considered atomic longitudinal displacement

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (20) : 129-134.

LIU Canchang，GONG Qingmei，MA Chicheng， ZHOU Jilei, JIANG Ruirui，ZHOU Changcheng

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Abstract

In recent years, with the development of nano manufacturing, one-dimensional materials are widely used in all kinds of electric thermal nano device for their excellent physical properties.The lateral vibration control of the monatomic chains considering atomic longitudinal displacement was studied with the theory of the vibration of strings.The lateral vibration modes of the monatomic chain were assumed as the modes of string vibration.The vibration equation of string of the monatomic chains was established based on the assumptions.A method was proposed to calculate natural angular frequency of the transverse vibration of monatomic chains.The tension of the quantum limitation was given which can distinguish the NEMS and QEMS by the thermal occupation number.The coordinates of the position of the vibration atoms can be calculated by utilizing the boundary conditions and the symmetry conditions of the monatomic chain.The natural angular frequency and resonant frequency of the monatomic chain string are associated with the axial tension acted on the string and the length of monatomic chain, and they can be altered by changing the length of the string and the tension acted on the string.

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LIU Canchang，GONG Qingmei，MA Chicheng， ZHOU Jilei, JIANG Ruirui，ZHOU Changcheng. Piezoelectric control of lateral vibration for monatomic chains considered atomic longitudinal displacement[J]. Journal of Vibration and Shock, 2018, 37(20): 129-134

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