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Critical Velocity obtained using Simplified Models of the Railway Track: Viability and Applicability
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Orientador(es)
Resumo(s)
Increased demands on the capacity of the railway network gave rise to new issues
related to the dynamic response of railway tracks subjected to moving vehicles.
Thus, it becomes important to evaluate the applicability of traditionally used
simplified models which have a closed form solution. Regarding simplified
models, transversal vibrations of a beam on a visco-elastic foundation subjected
to a moving load are considered. Governing equations are obtained by Hamilton’s
principle. Shear distortion, rotary inertia and effect of axial force are
accounted for. The load is introduced as a time varying force moving at a
constant velocity. Transversal vibrations induced by the load are solved by the
normal-mode analysis. Reflected waves at the extremities of the full beam are
avoided by introduction of semi-infinite elements. Firstly, the critical
velocity obtained from this model is compared with results of an undamped Euler-
Bernoulli formulation with zero axial force. Secondly, a finite element model in
ABAQUS is examined. The new contribution lies in the introduction of semi-
infinite elements and in the first step to a systematic comparison, which have
not been published so fa
Descrição
Palavras-chave
transversal vibration, moving load, moving mass, dynamic stiffness matrix, semi-infinite elements, critical velocity, finite element model.