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

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

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.

Eulerian coordinates, Mode veering, Rotating solid, Rotors, Vehicle-track interaction
0022-460X
300-314
Baeza, Luis
09dc5565-ad4b-49af-a104-d4b6ad28e1b0
Giner-Navarro, Juan
518d937c-6113-4540-b56a-26b977cd4b6e
Thompson, David J.
bca37fd3-d692-4779-b663-5916b01edae5
Monterde, Juan
9f48c12d-f596-4551-8f89-40df65d461c8
Baeza, Luis
09dc5565-ad4b-49af-a104-d4b6ad28e1b0
Giner-Navarro, Juan
518d937c-6113-4540-b56a-26b977cd4b6e
Thompson, David J.
bca37fd3-d692-4779-b663-5916b01edae5
Monterde, Juan
9f48c12d-f596-4551-8f89-40df65d461c8

Baeza, Luis, Giner-Navarro, Juan, Thompson, David J. and Monterde, Juan (2019) Eulerian models of the rotating flexible wheelset for high frequency railway dynamics. Journal of Sound and Vibration, 449, 300-314. (doi:10.1016/j.jsv.2019.03.002).

Record type: Article

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.

Other
Paper_RG - Accepted Manuscript
Restricted to Repository staff only until 4 March 2020.
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More information

Accepted/In Press date: 1 March 2019
e-pub ahead of print date: 4 March 2019
Published date: 9 June 2019
Keywords: Eulerian coordinates, Mode veering, Rotating solid, Rotors, Vehicle-track interaction

Identifiers

Local EPrints ID: 429351
URI: https://eprints.soton.ac.uk/id/eprint/429351
ISSN: 0022-460X
PURE UUID: 6c2a0f5a-1bdb-4208-83fe-ab14af04ff9e
ORCID for Luis Baeza: ORCID iD orcid.org/0000-0002-3815-8706
ORCID for David J. Thompson: ORCID iD orcid.org/0000-0002-7964-5906

Catalogue record

Date deposited: 26 Mar 2019 17:30
Last modified: 28 Mar 2019 01:36

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