Surface Effect on Vibration of Timoshenko Nanobeam Based on Generalized Differential Quadrature Method and Molecular Dynamics Simulation
作者机构：Department of Engineering MechanicsCollege of Pipeline and Civil EngineeringChina University of Petroleum(East China).Qingdao 266580.People's Republic of China
出 版 物：《Nanomanufacturing and Metrology》 (纳米制造与计量（英文）)
年 卷 期：2021年第4卷第4期
页 面：298-313页
核心收录：
学科分类：07[理学] 0817[工学-化学工程与技术] 0807[工学-动力工程及工程热物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学]
基 金：This study was supported by the National Natural Science Foundation of China(Grand Number 11672334)
主 题：Timoshenko nanobeams Surface effect Vibration Generalized differential quadrature(GDQ)method Molecular dynamics(MD)simulation
摘 要：Nanobeams have promising applications in areas such as sensors,actuators,and resonators in nanoelectromechanical systems(NEMS).Considering the effects of gyration inertia,surface layer mass,surface residual stress,and surface Young s modulus,this study develops the vibration equations of the Timoshenko *** generalized differential quadrature(GDQ)method and molecular dynamics(MD)simulation are used to study the surface effect on *** a rectangular cross section,surface residual stress and surface Young s modulus are all affected by the height of the cross section rather than by the length-height *** surface layer mass is considered,then the first three natural frequencies all decrease relative to their counterparts in the case in which surface layer mass is *** show that the effect of gyration inertia on resonance frequency is *** vibration does not easily occur relative to the bending and rotation vibrations of *** addition,the results obtained by the GDQ method fit those obtained by MD simulation for beams with length-height ratios of *** study provides insights into the mechanism of the vibration of short and deep nanobeams and sheds light on the quantitative design of the elements in NEMSs.
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