6533b7d8fe1ef96bd126afaa

RESEARCH PRODUCT

Eulerian models of the rotating flexible wheelset for high frequency railway dynamics

Juan MonterdeJuan Giner-navarroLuis BaezaDavid Thompson

subject

PhysicsAcoustics and UltrasonicsMechanical EngineeringMathematical analysisRotational symmetryEulerian pathBasis function02 engineering and technologyCondensed Matter Physics01 natural sciencesFinite element methodsymbols.namesake020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsNormal mode0103 physical sciencessymbolsSolid of revolutionConstant angular velocity010301 acousticsCampbell diagram

description

Abstract In this paper three formulations based on an Eulerian approach are presented to obtain the dynamic response of an elastic solid of revolution, which rotates around its main axis at constant angular velocity. The formulations are especially suitable for the study of the interaction of a solid with a non-rotating structure, such as occurs in the coupled dynamics of a railway wheelset with the track. With respect to previous publications that may adopt similar hypotheses, this paper proposes more compact formulations and eliminates certain numerical problems associated with the presence of second-order derivatives with respect to the spatial coordinates. Three different models are developed depending the basis function that represents the displacements associated with the deformation; these basis functions are: (1) the shape functions that are used in the three dimensional finite element (FE) method; (2) the undamped mode shapes of the solid; (3) the shape functions that are adopted in the axisymmetric FE approach. Comparisons are shown of calculations carried out using these models. These show the existence of modal veering when analysing the Campbell diagram for a railway wheel.

yearjournalcountryeditionlanguage
2019-06-01
10.1016/j.jsv.2019.03.002https://eprints.soton.ac.uk/429351/