Analytic solution for size-dependent behaviors of micro-beam under forced vibration  

作　　者：Shuai WANG Zhiyong WANG Feifei WANG Bo ZHOU Shifeng XUE 

机构地区：[1]College of Pipeline and Civil Engineering,China University of Petroleum(East China),Qingdao 266580,P.R.China

出　　处：《Mechanical Engineering Science》2020年第1期48-58,共11页机械工程（英文）

基　　金：The authors of this paper acknowledge the supports from the National Key Research and Development Program of China(Grant No.2017YFC0307604);the Talent Foundation of China University of Petroleum(Grant No.Y1215042).

摘　　要：This paper focuses on the size-dependently mechanical behaviors of a micro-beam under forced vibration.Governing equations of a micro-beam under forced vibration are established by using the modified couple stress theory,Bernoulli-Euler beam theory and D’Alembert’s principle together.A simply supported micro-beam under forced vibration is solved according to the established governing equations and the method of separation of variables.The dimensionless deflection,amplitude mode and period mode are defined to investigate the size-dependently mechanical behaviors of a micro-beam under forced vibration.Results show that the performance of a micro-beams under forced vibration is distinctly size-dependent when the ratio of micro-beam height to material length-scale parameter is small enough.Both frequency ratio and loading location are the important factors that determine the sizedependent performance of a micro-beams under forced vibration.

关 键 词：MICRO-BEAM forced vibration size effect modified couple stress theory Bernoulli-Euler beam theory 

分 类 号：O17[理学—数学]