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On-line Access: 2009-11-30

Received: 2009-01-17

Revision Accepted: 2009-03-31

Crosschecked: 2009-09-07

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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.1 P.34-42

10.1631/jzus.A0900048


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


Author(s):  C. W. LIM, Cheng LI, Ji-lin YU

Affiliation(s):  Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong SAR, China; more

Corresponding email(s):   bccwlim@cityu.edu.hk

Key Words:  Nanobeam, Natural frequency, Nonlocal stress, Pre-tensioned, Vibration mode


C. W. LIM, Cheng LI, Ji-lin YU. Free vibration of pre-tensioned nanobeams based on nonlocal stress theory[J]. Journal of Zhejiang University Science A, 2010, 11(1): 34-42.

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journal="Journal of Zhejiang University Science A",
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pages="34-42",
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0900048

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T1 - Free vibration of pre-tensioned nanobeams based on nonlocal stress theory
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A1 - Cheng LI
A1 - Ji-lin YU
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0900048


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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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