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.

(2018). Universal analytical solution of the steady-state response of an infinite beam on a Pasternak elastic foundation under moving load [journal article - articolo]. In INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. Retrieved from http://hdl.handle.net/10446/116202

Universal analytical solution of the steady-state response of an infinite beam on a Pasternak elastic foundation under moving load

Rizzi, Egidio;
2018-01-01

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.
articolo
2018
Froio, Diego; Rizzi, Egidio; Simões, Fernando M. F.; Pinto da Costa, António
(2018). Universal analytical solution of the steady-state response of an infinite beam on a Pasternak elastic foundation under moving load [journal article - articolo]. In INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. Retrieved from http://hdl.handle.net/10446/116202
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/116202
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