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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2010, Vol. 11 Issue (1): 34-42    DOI: 10.1631/jzus.A0900048
Mechanics and Fluids     
Free vibration of pre-tensioned nanobeams based on nonlocal stress theory
C. W. LIM, Cheng LI, Ji-lin YU
Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong SAR, China; Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China
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Abstract  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 deformation and vibration modes are derived. Through numerical examples, effects of the dimensionless nanoscale parameter and pre-tension on natural frequencies are presented and discussed.

Key words： Nanobeam      Natural frequency      Nonlocal stress      Pre-tensioned      Vibration mode     
Received: 17 January 2009      Published: 30 November 2009
CLC:  O34  
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C. W. LIM
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Cite this article:

C. W. LIM, Cheng LI, Ji-lin YU. Free vibration of pre-tensioned nanobeams based on nonlocal stress theory. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2010, 11(1): 34-42.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A0900048     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2010/V11/I1/34

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