Please use this identifier to cite or link to this item:
Title: Vibration of initially stressed micro-and nano-beams
Authors: Wang, C.M. 
Zhang, Y.Y. 
Kitipornchai, S.
Keywords: Initial stress
Mode shapes
Natural frequencies
Nonlocal elasticity
Timoshenko beam
Issue Date: Dec-2007
Citation: Wang, C.M., Zhang, Y.Y., Kitipornchai, S. (2007-12). Vibration of initially stressed micro-and nano-beams. International Journal of Structural Stability and Dynamics 7 (4) : 555-570. ScholarBank@NUS Repository.
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. © World Scientific Publishing Company.
Source Title: International Journal of Structural Stability and Dynamics
ISSN: 02194554
DOI: 10.1142/S0219455407002423
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Jul 23, 2021


checked on Jul 23, 2021

Page view(s)

checked on Jul 9, 2021

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.