1998
DOI: 10.1006/jsvi.1997.1334
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A Dynamic Green Function Formulation for the Response of a Beam Structure to a Moving Mass

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Cited by 113 publications
(75 citation statements)
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“…is plotted in Figure 2 [4]. It is interesting to point out that the Green's function of the problem is symmetric about line x ξ = .…”
Section: Discussion and Numerical Examplesmentioning
confidence: 96%
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“…is plotted in Figure 2 [4]. It is interesting to point out that the Green's function of the problem is symmetric about line x ξ = .…”
Section: Discussion and Numerical Examplesmentioning
confidence: 96%
“…in which a h − are constants and are evaluated such that the Green's function satisfies the following conditions [4]: (a) two boundary conditions at each end of the beam depending on the type of the end support, for a beam with a simple support at first end and a sliding support at the other…”
Section: Green's Functionmentioning
confidence: 99%
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“…Then by using the relation between the reaction forces and displacement of the beam [1] in the frequency domain and the Dirac delta distribution, the dynamic equation for the beam (sleeper) together with the rails and foundation is written and solved by using Green functions. The method of Green function to obtain the response of a beam structure to a moving mass has been successfully applied previously [25,26]. The use of Green function not only leads to exact results but also involves less cumbersome manipulations.…”
Section: Introductionmentioning
confidence: 99%
“…In order to take into account the discrete supports, Mead [15,16] presented periodically supported beams for railway tracks. This model is also developed by other authors for different kind of linear supports and moving forces [17][18][19][20][21]. Although the analytical methods are well developed for linear cases, these methods can not be easily applied to nonlinear foundations.…”
Section: Introductionmentioning
confidence: 99%