考虑原子纵向位移单原子链横向振动压电控制

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (20) : 129-134.

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刘灿昌，巩庆梅，马驰骋，周继磊，姜瑞瑞，周长城

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

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

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摘要

近年来，随着纳米制造业的发展，一维材料因其优异的物理性能，广泛应用于各类力电光热纳米器件。本文基于弦振动理论研究了考虑原子纵向位移的单原子链纳米线横向振动控制方法，针对单原子链类弦结构，采用模态叠加法，建立了单原子链横向振动的动力学方程，提出了一种单原子链横向振动固有角频率的计算方法，并得到了轴向力控制电压量子极限。考虑原子链的边界条件与振动结构的对称性，利用非线性方程组的迭代方法，得到原子的纵向位移。研究发现：纳米线轴向张力与链的长度是影响单原子链纳米线的固有角频率和共振频率的主要因素，通过控制单原子链两端的压电块轴向位移，可以改变原子链的轴向张力和单原子链的长度，从而改变原子链的固有频率。本文研究为单原子链谐振器和滤波器等分子器件研发制造提供理论基础和计算方法。

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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刘灿昌，巩庆梅，马驰骋，周继磊，姜瑞瑞，周长城. 考虑原子纵向位移单原子链横向振动压电控制[J]. 振动与冲击, 2018, 37(20): 129-134

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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