Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6748467 | International Journal of Solids and Structures | 2018 | 36 Pages |
Abstract
In this paper, the steady-state response of a uniform infinite Euler-Bernoulli elastic beam resting on a Pasternak elastic foundation and subjected to a concentrated load moving at a constant velocity along the beam is analytically investigated. A universal closed-form analytical solution is derived through Fourier transform, apt to represent the response for all possible beam-foundation parameters. A rigorous mathematical procedure is formulated for classifying the parametric behavior of the solution, including for viscous damping. Depending on such a classification, different types of bending wave shapes are shown to propagate within the beam, ahead and behind the moving load position, and crucial physical characteristics, such as critical velocity and critical damping, are reinterpreted into a wholly exact and complete mathematical framework. Mechanical features of the solution are revealed for the steady-state response in terms of normalized deflection, cross-section rotation, bending moment and shear force.
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Civil and Structural Engineering
Authors
Diego Froio, Egidio Rizzi, Fernando M.F. Simões, António Pinto Da Costa,