DYNAMIC RESPONSE OF A TIMOSHENKO BEAM SUBJECTED TO A MOVING LOAD ON A FOUNDATION WITH HYSTERETIC DAMPING
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Date
2020
Authors
Adair, Desmond
Nagimova, Aigul
Jaeger, Martin
Journal Title
Journal ISSN
Volume Title
Publisher
World Congress on Civil, Structural, and Environmental Engineering
Abstract
For many studies concerning foundation, such as rails and pavements, the mechanism for energy dissipation within a
foundation is considered only to be by viscous behaviour. It is generally considered however that dissipation of energy in soil-type
foundations takes place, in the main, due to internal friction damping, known as hysteretic damping. Also quite often the simpler Euler Bernoulli beam formulation is used, hence excluding the effects of shear rigidity and radius of gyration of the beam. In this work by the
use of the Timoshenko beam formulation these effects are included as it the use of a two-parameter hysteretic damped foundation. The
investigation includes when the beam experiences a moving load with constant or harmonic amplitudes. Hamilton’s principle is used to
formulate the two governing equations when are then transformed into two algebraic equations by uncoupling and the use of a double
Fourier transform w.r.t. moving space and time. The beam deflection is obtained using inverse fast Fourier transform and the solutions
obtained are compared with bot Winkler and Pasternak foundation results found in the literature. Calculations are made which
investigate the effect of the spatial distribution of the loading and the effects of the beam and foundation properties on the deflected
shape, the maximum displacement, critical frequency and the velocity. The results can be used to assess performance and safety aspects
of railway and highway structures
Description
Keywords
Type of access: Open Access, Timoshenko beam, moving load, hysteretic damping, vibrations
Citation
Adair, D., Nagimova, A., & Jaeger, M. (2020). Dynamic Response of a Timoshenko Beam Subjected to a Moving Loadon a Foundation with Hysteretic Damping. World Congress on Civil, Structural, and Environmental Engineering. https://doi.org/10.11159/icgre20.177