范德瓦耳斯力对低维纳尺度结构振动特性的影响  

The effect of van der Waals force on the vibrational properties of low-dimensional nanostructure

作　　者：张义青[1] 王立峰[1] 刘汝盟[1] 蒋经农 Yiqing Zhang;Lifeng Wang;Rumeng Liu;Jingnong Jiang(State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;School of Mathematics and Statistics,Southwest University,Chongqing 400715.China)

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016 [2]西南大学数学与统计学院,重庆400715

出　　处：《科学通报》2020年第22期2371-2383,共13页Chinese Science Bulletin

基　　金：国家杰出青年科学基金(11925205);国家自然科学基金(51921003,11632003);江苏省自然科学基金(BK20171411);江苏省研究生科研与实践创新计划(KYCX18_0245)资助。

摘　　要：范德瓦耳斯力对纳米材料的物理、化学、电学和力学等特性有着非常重要的影响,甚至是决定性因素.范德瓦耳斯力是影响纳尺度结构本构关系、边界条件的重要因素,进而影响其线性振动的固有频率和非线性动力学行为.本文主要介绍范德瓦耳斯力对纳尺度结构的力学行为的影响,尤其关注范德瓦耳斯力对纳尺度结构振动特性影响的最新研究进展;并对由于范德瓦耳斯力的存在,纳尺度结构动力学所面临的问题及其发展趋势做了初步展望.On nanoscale, van der Waals(vd W) force has a very important influence on physical, chemical, electrical and mechanics properties of low-dimensional nanostructures. vd W force is an important factor affecting constitutive relation, boundary condition of low-dimensional nanostructures, and then affecting its natural frequency and nonlinear dynamics property.The nanostructures have wide applications in fabricating the nanoresonator and nanosensor, such as mass sensing, optical sensing, signal-processing, et al. In this paper, the latest research progress about the effect of vd W force on the vibrational properties of low-dimensional nanostructures is introduced. The main contents of this paper are as follows. The vd W force is introduced in the first part of this paper. The source of vd W force and the expression to describe vd W force are presented.The research progress on the basic development history of vd W force is discussed. In the second part, the effect of vd W force on the mechanical property of nanomaterials is discussed, including buckling, stretching, fracture, et al. vd W force is weak in resisting interlayer shear or sliding. However, it can affect the buckling and fracture behavior of nanomaterials, and can especially affect the deformation of nanomaterials. The effect of vd W force on the vibrational behavior of nanomaterials is presented in the third part. Different from the macro structure, vd W force has a significant influence on the vibrational behavior of low-dimensional nanoscale structures. The experimental method, molecular dynamic simulations method and continuum mechanics method are usually used for studying the influence of vd W force on the vibrational behavior of low-dimensional nanostructure. Due to the existence of vd W force between interlayer of low-dimensional nanostructures, the vibration of double-layered low-dimensional nanostructures appear anti-phase vibration mode and inphase vibration mode. The frequency of anti-phase vibration mode is much higher than that of in-phase vibr

关 键 词：纳尺度结构 振动特性 范德瓦耳斯力 固有频率 非线性动力学行为 

分 类 号：O342[理学—固体力学] TB383.1[理学—力学]