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CLC number: TU311.3

On-line Access: 2010-11-08

Received: 2010-02-02

Revision Accepted: 2010-04-08

Crosschecked: 2010-10-12

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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.11 P.898-907


Dynamics of a prestressed Timoshenko beam subject to arbitrary external load

Author(s):  Ji-qing Jiang, Gui-ru Ye

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China

Corresponding email(s):   jjiqing@gmail.com, yeguiru@126.com

Key Words:  Reverberation-ray analysis, Prestressed Timoshenko beam, Free vibration, Dynamic responses

Ji-qing Jiang, Gui-ru Ye. Dynamics of a prestressed Timoshenko beam subject to arbitrary external load[J]. Journal of Zhejiang University Science A, 2010, 11(11): 898-907.

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%T Dynamics of a prestressed Timoshenko beam subject to arbitrary external load
%A Ji-qing Jiang
%A Gui-ru Ye
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%DOI 10.1631/jzus.A1000057

T1 - Dynamics of a prestressed Timoshenko beam subject to arbitrary external load
A1 - Ji-qing Jiang
A1 - Gui-ru Ye
J0 - Journal of Zhejiang University Science A
VL - 11
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SP - 898
EP - 907
%@ 1673-565X
Y1 - 2010
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1000057

The free vibration and transient wave in a prestressed Rayleigh-Timoshenko beam subject to arbitrary transverse forces are analyzed by the newly developed method of reverberation-ray matrix (MRRM). The effects of shear deformation and rotational inertia are taken into consideration. With a Fourier transform technique, the general wave solutions with two sets of unknown amplitude coefficients are obtained in the transformed domain for an unbonded prestressed beam under the action of arbitrary external excitations. From the coupling at joints and the compatibility of displacements in each member, the free and forced vibration responses of a beam with various boundary conditions are finally evaluated through certain numerical algorithms. Results are presented for a simply-supported beam subject to either a point fixed load or moving load. Good agreement with the finite element method (FEM) is obtained. The present work is instructive for high-speed railway bridge design and structural health monitoring.

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


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