A least mean squared approach to wheel-rail profile estimation

Guy Charles, Roger Goodall, Roger Dixon

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Citations (Scopus)


The stability and guidance of a railway vehicle is provided in part by the contact geometry of the wheel-rail contact, and any changes to this geometry will efect the response of the railway vehicle. Typically the condition and shape of the wheel and rail are monitored separately and off-line, but it is the combination of the two in situ that really afects the dynamics. This paper outlines a practical approach to estimating a nonlinear function within a dynamic system by using a piecewise cubic functions. The parameters for the cubic functions are estimated with a least squared approach applied to the dynamic measurements taken from the system. A simplied plan-view wheelset and suspended mass model is introduced to use as an application of this technique. The nonlinear aspect of the contact is included in the form of a conicity function which varies with the relative lateral wheel-rail position. The conicity is successfully estimated using the least-squares method outlined in the paper.

Original languageEnglish
Title of host publication4th IET International Conference on Railway Condition Monitoring, RCM 2008
Number of pages6
Publication statusPublished - 1 Dec 2008
Externally publishedYes
Event4th IET International Conference on Railway Condition Monitoring - Derby, United Kingdom
Duration: 18 Jun 200820 Jun 2008
Conference number: 4


Conference4th IET International Conference on Railway Condition Monitoring
Abbreviated titleRCM 2008
Country/TerritoryUnited Kingdom
Internet address


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