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Title of Journal: J Mech Sci Technol

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Abbravation: Journal of Mechanical Science and Technology

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Korean Society of Mechanical Engineers

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DOI

10.1007/s12206-014-0612-6

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ISSN

1976-3824

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Combined analytical and numerical solution for an

Authors: YoungHyun Lee SungSoo Kim
Publish Date: 2014/07/24
Volume: 28, Issue: 7, Pages: 2549-2559
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Abstract

A combined analytical and numerical method is presented to get a response for an elastically supported Timoshenko beam to a moving load The analytical steadystate solution as a particular solution is established and summed with the numerically calculated homogeneous solution A steadystate solution is sought analytically through the direct application of the Fourier transform to the moving step load It is shown to be a compact formula composed of exponential and sinusoidal functions depending on the load velocity The homogeneous solution is established numerically to cancel out the discontinuities and the inconsistent boundary and initial conditions of the steadystate solution The discontinuities produced by the steadystate solution are removed using the physical characteristics related to the bar wave Some response curves are shown to compare the beam motions at different load velocities

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