Comprehensive model of a rotating flexible wheelset for high-frequency railway dynamics
Comprehensive model of a rotating flexible wheelset for high-frequency railway dynamics
The development and application of wheelset models that realistically incorporate both flexibility and rotation, constitutes a topic that has recently been active in the literature regarding high-frequency railway dynamics. The main application of these models is the simulation of the railway vehicle-track dynamic interaction, which justifies the fact that most of them are formulated using coordinates that do not rotate with the solid (Euler coordinates). Wheelset models based on rotating coordinates are scarce, although they have some practical applications when the vibration response at points fixed in the material is required (e.g., to simulate the signal of a transducer that is fixed at a point on the wheelset). The present work provides a global method in the modelling of a flexible and rotating railway wheelset, independent of the coordinates used (fixed or rotating). To achieve this, a compact formulation is developed adopting axisymmetric coordinates through both Lagrangian and Eulerian approaches, which are related by means of a coordinate transformation. The equations of motion that are deduced for both reference frames are linear, which allows the natural frequencies to be obtained as seen from a fixed frame as well as the ones observed for a system that rotates with the wheelset. The relationship between the natural frequencies obtained from both equations of motion is expressed as a closed-form formula that depends on the angular velocity of the wheelset. The model is applied to simulate the response measured by the strain gauges used in load-measuring wheelsets, in which a vertical force is acting in the wheel-rail contact. The results can contribute to establish limits on the use of the instrumented wheelsets based on the angular velocity and the frequency of the force applied in the wheel-rail contact.
dynamometric wheelsets, eulerian coordinates, instrumented wheelsets, lagrangian coordinates, Load-measuring wheelsets, railway vehicle-track interaction, railway wheels, rotors
Baeza, Luis
6ec5eb71-1dfb-453e-b816-e168859b551a
Giner-Navarro, Juan
518d937c-6113-4540-b56a-26b977cd4b6e
Knuth, Christopher
bf51df4d-f96c-4d73-9af5-fa6ed4c6ae59
Thompson, David J.
bca37fd3-d692-4779-b663-5916b01edae5
1 October 2023
Baeza, Luis
6ec5eb71-1dfb-453e-b816-e168859b551a
Giner-Navarro, Juan
518d937c-6113-4540-b56a-26b977cd4b6e
Knuth, Christopher
bf51df4d-f96c-4d73-9af5-fa6ed4c6ae59
Thompson, David J.
bca37fd3-d692-4779-b663-5916b01edae5
Baeza, Luis, Giner-Navarro, Juan, Knuth, Christopher and Thompson, David J.
(2023)
Comprehensive model of a rotating flexible wheelset for high-frequency railway dynamics.
Mechanical Systems and Signal Processing, 200, [110592].
(doi:10.1016/j.ymssp.2023.110592).
Abstract
The development and application of wheelset models that realistically incorporate both flexibility and rotation, constitutes a topic that has recently been active in the literature regarding high-frequency railway dynamics. The main application of these models is the simulation of the railway vehicle-track dynamic interaction, which justifies the fact that most of them are formulated using coordinates that do not rotate with the solid (Euler coordinates). Wheelset models based on rotating coordinates are scarce, although they have some practical applications when the vibration response at points fixed in the material is required (e.g., to simulate the signal of a transducer that is fixed at a point on the wheelset). The present work provides a global method in the modelling of a flexible and rotating railway wheelset, independent of the coordinates used (fixed or rotating). To achieve this, a compact formulation is developed adopting axisymmetric coordinates through both Lagrangian and Eulerian approaches, which are related by means of a coordinate transformation. The equations of motion that are deduced for both reference frames are linear, which allows the natural frequencies to be obtained as seen from a fixed frame as well as the ones observed for a system that rotates with the wheelset. The relationship between the natural frequencies obtained from both equations of motion is expressed as a closed-form formula that depends on the angular velocity of the wheelset. The model is applied to simulate the response measured by the strain gauges used in load-measuring wheelsets, in which a vertical force is acting in the wheel-rail contact. The results can contribute to establish limits on the use of the instrumented wheelsets based on the angular velocity and the frequency of the force applied in the wheel-rail contact.
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More information
Accepted/In Press date: 4 July 2023
e-pub ahead of print date: 12 July 2023
Published date: 1 October 2023
Additional Information:
Funding Information:
The first and second authors acknowledge the financial support through the grants PID2020-118013RB-C21 (funded by MCIN /AEI/10.13039/501100011033) and PROMETEO/2021/046 (funded by Generalitat Valenciana). The first author is very grateful to Dr Giacomo Squicciarini from the ISVR for the helpful discussions that contributed to increase the importance of the present work.
Keywords:
dynamometric wheelsets, eulerian coordinates, instrumented wheelsets, lagrangian coordinates, Load-measuring wheelsets, railway vehicle-track interaction, railway wheels, rotors
Identifiers
Local EPrints ID: 480498
URI: http://eprints.soton.ac.uk/id/eprint/480498
ISSN: 0888-3270
PURE UUID: d257e863-d21f-41cf-909f-114fcb4e9b76
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Date deposited: 03 Aug 2023 16:41
Last modified: 18 Mar 2024 02:43
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Author:
Luis Baeza
Author:
Juan Giner-Navarro
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