Free vibration of pre-tensioned nanobeams based on nonlocal stress theory  

作　　者：C. W. LIM Cheng LI Ji-lin YU 

机构地区：[1]Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong SAR, China [2]Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2010年第1期34-42,共9页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：supported by the Collaboration Scheme from University of Science and Technology of China and City University of Hong Kong Joint Advanced Research Institute, and City University of Hong Kong (No. 7002357 (BC))

摘　　要：The transverse free vibration of nanobeams subjected to an initial axial tension based on nonlocal stress theory is presented. It considers the effects of nonlocal stress field on the natural frequencies and vibration modes. The effects of a small scale parameter at molecular level unavailable in classical macro-beams are investigated for three different types of boundary conditions:simple supports,clamped supports and elastically-constrained supports. Analytical solutions for transverse deforma-tion and vibration modes are derived. Through numerical examples,effects of the dimensionless nanoscale parameter and pre-tension on natural frequencies are presented and discussed.The transverse free vibration of nanobeams subjected to an initial axial tension based on nonlocal stress theory is presented. It considers the effects of nonlocal stress field on the natural frequencies and vibration modes. The effects of a small scale parameter at molecular level unavailable in classical macro-beams are investigated for three different types of boundary conditions： simple supports, clamped supports and elastically-constrained supports. Analytical solutions for transverse deforma- tion and vibration modes are derived. Through numerical examples, effects of the dimensionless nanoscale parameter and pre-tension on natural frequencies are presented and discussed.

关 键 词：Nanobeam Natural frequency Nonlocal stress Pre-tensioned Vibration mode 

分 类 号：O344.1[理学—固体力学]