# A New Method for Modelling and Simulation of the Dynamic Behaviour of the Wheel Rail Contact

Arthur Anyakwo, Crinela Pislaru, Andrew Ball

Research output: Contribution to journalArticle

14 Citations (Scopus)

### Abstract

This paper presents a new method for modelling and simulation of the dynamic behaviour of the wheel-rail contact. The proposed dynamic wheel-rail contact model comprises wheel-rail contact geometry, normal contact problem, tangential contact problem and wheelset dynamic behaviour on the track. This two-degree of freedom model takes into account the lateral displacement of the wheelset and the yaw angle. Single wheel tread rail contact is considered for all simulations and Kalker's linear theory and heuristic non-linear creep models are employed. The second order differential equations are reduced to first order and the forward velocity of the wheelset is increased until the wheelset critical velocity is reached. This approach does not require solving mathematical equations in order to estimate the critical velocity of the dynamic wheel-rail contact model. The mathematical model is implemented in Matlab using numerical differentiation method. The simulated results compare well with the estimated results based on classical theory related to the dynamic behaviour of rail-wheel contact so the model is validated.

Original language English 237-247 11 International Journal of Automation and Computing 9 3 https://doi.org/10.1007/s11633-012-0640-6 Published - 1 Jun 2012

### Fingerprint

Wheel
Dynamic Behavior
Modeling and Simulation
Rails
Wheels
Contact
Contact Problem
Contact Geometry
Numerical Differentiation
Model
Degrees of freedom (mechanics)
Creep
Second order differential equation
MATLAB
Lateral
Differential equations
Degree of freedom
Heuristics
Mathematical Model
Mathematical models

### Cite this

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title = "A New Method for Modelling and Simulation of the Dynamic Behaviour of the Wheel Rail Contact",
abstract = "This paper presents a new method for modelling and simulation of the dynamic behaviour of the wheel-rail contact. The proposed dynamic wheel-rail contact model comprises wheel-rail contact geometry, normal contact problem, tangential contact problem and wheelset dynamic behaviour on the track. This two-degree of freedom model takes into account the lateral displacement of the wheelset and the yaw angle. Single wheel tread rail contact is considered for all simulations and Kalker's linear theory and heuristic non-linear creep models are employed. The second order differential equations are reduced to first order and the forward velocity of the wheelset is increased until the wheelset critical velocity is reached. This approach does not require solving mathematical equations in order to estimate the critical velocity of the dynamic wheel-rail contact model. The mathematical model is implemented in Matlab using numerical differentiation method. The simulated results compare well with the estimated results based on classical theory related to the dynamic behaviour of rail-wheel contact so the model is validated.",
keywords = "Condition Monitoring, Dynamic Behaviour, Modelling, Simulation, Wheel-Rail Contact",
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language = "English",
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A New Method for Modelling and Simulation of the Dynamic Behaviour of the Wheel Rail Contact. / Anyakwo, Arthur; Pislaru, Crinela; Ball, Andrew.

In: International Journal of Automation and Computing, Vol. 9, No. 3, 01.06.2012, p. 237-247.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A New Method for Modelling and Simulation of the Dynamic Behaviour of the Wheel Rail Contact

AU - Anyakwo, Arthur

AU - Pislaru, Crinela

AU - Ball, Andrew

PY - 2012/6/1

Y1 - 2012/6/1

N2 - This paper presents a new method for modelling and simulation of the dynamic behaviour of the wheel-rail contact. The proposed dynamic wheel-rail contact model comprises wheel-rail contact geometry, normal contact problem, tangential contact problem and wheelset dynamic behaviour on the track. This two-degree of freedom model takes into account the lateral displacement of the wheelset and the yaw angle. Single wheel tread rail contact is considered for all simulations and Kalker's linear theory and heuristic non-linear creep models are employed. The second order differential equations are reduced to first order and the forward velocity of the wheelset is increased until the wheelset critical velocity is reached. This approach does not require solving mathematical equations in order to estimate the critical velocity of the dynamic wheel-rail contact model. The mathematical model is implemented in Matlab using numerical differentiation method. The simulated results compare well with the estimated results based on classical theory related to the dynamic behaviour of rail-wheel contact so the model is validated.

AB - This paper presents a new method for modelling and simulation of the dynamic behaviour of the wheel-rail contact. The proposed dynamic wheel-rail contact model comprises wheel-rail contact geometry, normal contact problem, tangential contact problem and wheelset dynamic behaviour on the track. This two-degree of freedom model takes into account the lateral displacement of the wheelset and the yaw angle. Single wheel tread rail contact is considered for all simulations and Kalker's linear theory and heuristic non-linear creep models are employed. The second order differential equations are reduced to first order and the forward velocity of the wheelset is increased until the wheelset critical velocity is reached. This approach does not require solving mathematical equations in order to estimate the critical velocity of the dynamic wheel-rail contact model. The mathematical model is implemented in Matlab using numerical differentiation method. The simulated results compare well with the estimated results based on classical theory related to the dynamic behaviour of rail-wheel contact so the model is validated.

KW - Condition Monitoring

KW - Dynamic Behaviour

KW - Modelling

KW - Simulation

KW - Wheel-Rail Contact

U2 - 10.1007/s11633-012-0640-6

DO - 10.1007/s11633-012-0640-6

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JO - International Journal of Automation and Computing

JF - International Journal of Automation and Computing

SN - 1476-8186

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