Vibration of initially stressed micro-and nano-beams

Wang, C. M., Zhang, Y. Y. and Kitipornchai, S. (2007) Vibration of initially stressed micro-and nano-beams. International Journal of Structural Stability and Dynamics, 7 4: 555-570. doi:10.1142/S0219455407002423

Author Wang, C. M.
Zhang, Y. Y.
Kitipornchai, S.
Title Vibration of initially stressed micro-and nano-beams
Journal name International Journal of Structural Stability and Dynamics   Check publisher's open access policy
ISSN 0219-4554
Publication date 2007-12-01
Year available 2007
Sub-type Article (original research)
DOI 10.1142/S0219455407002423
Open Access Status Not yet assessed
Volume 7
Issue 4
Start page 555
End page 570
Total pages 16
Place of publication Singapore, Singapore
Publisher World Scientific Publishing
Language eng
Abstract This paper is concerned with the vibration problem of initially stressed micro/nanobeams. The vibration problem is formulated on the basis of Eringen's nonlocal elasticity theory and the Timoshenko beam theory. The small scale effect is taken into consideration in the former theory while the effects of initial stress, transverse shear deformation and rotary inertia are accounted for in the latter theory. The governing equations and the boundary conditions are derived using the principle of virtual work. These equations are solved analytically for the vibration frequencies of micro/nano-beams with different initial stress values and boundary conditions. The effect of the initial stress on the fundamental frequency and vibration mode shape of the beam is investigated. The solutions obtained provide a better representation of the vibration behavior of initially stressed micro/nano-beams which are stubby and short, since the effects of small scale, transverse shear deformation and rotary inertia are significant and cannot be neglected.
Keyword Initial stress
Mode shapes
Natural frequencies
Nonlocal elasticity
Timoshenko beam
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 41 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 16 Jan 2017, 21:40:03 EST by Clare Nelson on behalf of Learning and Research Services (UQ Library)