Dynamics of a prestressed Timoshenko beam subject to arbitrary external load |
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Authors: | Ji-qing Jiang Gui-ru Ye |
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Institution: | Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China |
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Abstract: | 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. |
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