Unlimited Beam Response on Elastic Sub-Grade to a Rolling Body


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Abstract


The traveling wave response of an unlimited beam on an elastic sub-grade to a moving body with a spatial distribution of mass was investigated in this study. The two cases of neglecting the axial and friction force; and including a constant axial force but neglecting the friction force were studied. The pertinent differential equations of motion were derived and solutions were obtained using the traveling wave phenomenon. The deflection curves and deflections under the load, as well as dynamic coefficients and the effects of neglecting various acceleration components on the deflection curves were found. The effects of the critical velocity of the beam on the aforesaid cases and parameters were also explored in this study.
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Keywords


Unlimited Beam Response; Elastic Sub-Grade; Rolling Mass

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