Modelling and control of curve squeal
Submitting Institution
Keele UniversityUnit of Assessment
Mathematical SciencesSummary Impact Type
TechnologicalResearch Subject Area(s)
Mathematical Sciences: Applied Mathematics
Engineering: Mechanical Engineering, Interdisciplinary Engineering
Summary of the impact
Rail transport is the greenest form of transport in that it produces the
least pollution of the environment. However, the noise from squealing
trains has been a major factor preventing the wider use of rail transport
in populated areas, especially in cities, where trains have to traverse
tight curves in built-up areas. Research carried out at Keele University
on curve squeal gave crucial input to developing an effective control
method (KELTRACK friction modifier, developed by the company LB Foster
Friction Management). This is a device by which a thin film is applied at
the wheel-rail interface, which in turn destroys the generation mechanism
of curve squeal. The KELTRACK friction modifier is now used in transport
systems all over the world, especially in underground systems, such as the
metros of Tokyo, Beijing and Madrid.
Underpinning research
The research that provided the basis for this impact was carried out at
Keele University from 1993 to 1999. It was initially funded by the EPSRC
(£ 94,726 on 'Development of active control of wheel squeal from a
nonlinear dynamical systems analysis', grant number GR/H73776). The key
researchers were: Dr Maria A. Heckl (principal investigator, at Keele
since 1992), Professor I. David Abrahams (co-investigator, at Keele until
January 1998), Dr Xiao Yang Huang (researcher from Singapore, visiting
Keele for 4 weeks in May/June 1993).
Curve squeal is the noise produced by train wheels when they traverse a
tight curve, giving rise to a lateral friction force in the wheel-rail
contact point. This friction force excites bending oscillations of the
wheels, which in turn affect the friction force, and this feedback is
responsible for high-amplitude wheel oscillations that are radiated into
the environment as high-amplitude sound waves. We developed a
sophisticated mathematical model to understand in detail the physical
mechanisms that play a key role in the generation of squeal. Our work was
published in a series of three papers in 2000, and their content is
summarized below.
Our mathematical model is described in Heckl and Abrahams (2000). The
train wheel is modelled as an annular disc (Kirchhoff plate) with a hub in
the centre; the friction force between rail and wheel is modelled by a
stick/slip friction characteristic, which is nonlinear. We developed a
Green's function approach, which can deal with this nonlinearity and
predict the time-history of the velocity of an individual wheel. This
allows one to identify the stability behaviour, transient oscillations,
limit cycles and other nonlinear features that lead to wheel squeal. In
Heckl (2000), we use this model to make predictions about the dynamics of
individual wheel modes. Typically only one wheel mode is unstable, and we
determined which wheel properties make that mode unstable. In Heckl and
Huang (2000), we extended our mathematical model to incorporate an active
control system. The effect of key control parameters was predicted, and
the parameter range was identified, where an unstable mode could be
successfully controlled. We verified our findings with a laboratory test
rig.
The idea of modelling a feedback instability by a Green's function
approach works not just for a friction-driven instability such as squeal.
The underpinning research in train wheel squeal has led to its application
in thermo-acoustic instabilities, which occur in certain combustion
systems, in particular gas turbine engines. Such instabilities can lead to
catastrophic engine failure and are a serious problem in the development
of clean combustion technologies. Building on our experience gained in the
squeal project, we have managed to secure two major European grants
(LIMOUSINE and TANGO) for collaborative research in this area.
References to the research
Heckl, Maria A. & Abrahams, I.D. (2000) Curve squeal of train wheels,
Part 1: Mathematical model for its generation. Journal of Sound and
Vibration 229, 669-693. DOI: 10.1006/jsvi.1999.2510
Heckl, Maria A. (2000) Curve squeal of train wheels, Part 2: Which wheel
modes are prone to squeal? Journal of Sound and Vibration 229,
695-707. DOI: 10.1006/jsvi.1999.2511
Heckl, Maria A. & Huang, X.Y. (2000) Curve squeal of train wheels,
Part 3: Active control. Journal of Sound and Vibration 229,
709-735. DOI: 10.1006/jsvi.1999.2512
The Journal of Sound and Vibration (JSV) is an established international
journal with an impact factor of 1.588, publishing 50 issues per year.
Grants:
£ 94,726 from EPSRC for research on 'Development of active control of
wheel squeal from a nonlinear dynamical systems analysis'. Principal
investigator: Maria A. Heckl, co-investigator: I. David Abrahams.
1993-1996.
€ 876,858 from the European Commission (FP7) for the Marie Curie Initial
Training Network LIMOUSINE (Limit cycles of thermo-acoustic oscillations
in gas turbine combustors). Deputy Coordinator: Maria Heckl. The total
award for all partners in the network was € 4.1 million. 2008-2012.
€ 3.73 million from the European Commission (FP7) for the Marie Curie
Initial Training Network TANGO (Thermo-acoustic and aero-acoustic
nonlinearities in green combustors with orifice structures). Coordinator:
Maria Heckl. The award for the activities at Keele is € 1.13 Million.
2012-2016
Details of the impact
Researchers, both academic and industrial, from all over the world
(Netherlands, Belgium, Italy, France, USA, Canada, India, Korea) made use
of our work as evidenced from the citations made to our papers listed
above. One paper that cited our work is by a group in the Vancouver-based
company LB Foster Friction Management.
Eadie D.T., Santoro M. and Kalousek J. (2005) Railway noise and the
effect of top of rail liquid friction modifiers: changes in sound and
vibration spectral distributions in curves. Wear 258, 1148-1155.
LB Foster used our work to gain crucial insight into the fundamental
mechanisms of wheel squeal, in particular the role of stick slip and the
shape of the traction-creepage curve. Armed with this insight, they
developed a commercial product, the KELTRACK ® Top of Rail Friction
Modifier, which has revolutionised the wheel/rail interface dynamics and
has achieved unsurpassed reduction of squeal noise. http://www.lbfoster.co.uk/_pdf/Portec-Keltrack.pdf
KELTRACK is a water-based suspension of proprietary solids, which is
pumped to the top of the rail by a trackside delivery system, prior to a
curve where squeal is of particular concern. The water component
evaporates and the material remains as a thin dry film. This film alters
the coefficient of friction to a value between that of dry friction and
that of a lubricated contact, and hence changes the lateral friction force
between wheel and rail. In this way, the stick/slip feedback between wheel
oscillations and friction force is disrupted, i.e. the mechanism that
generated the squeal noise has been deactivated. This technique allows
KELTRACK to dramatically reduce squeal noise as trains negotiate a curve.
The noise abatement levels (up to 27 dB) are almost immediate. Other
benefits (not found in traditional lubricants such as oil or grease) of
this system include reduced lateral forces, reduced wear, decreased
potential for derailment, no effect on traction and breaking,
environmentally safe (non-contaminating).
The Top of Rail Friction Modifier is now used on railways around the
world, for example on Tokyo Metro, Beijing Metro, New York City Transit
Authority, Madrid Metro and numerous others which transport billions of
passengers daily. Within the UK, KELTRACK is applied on London
Underground, and on sites on Network Rail. For example there are a number
of application systems controlling curve squeal around Euston Station in
London. (see the e-mail by Dr Don Eadie, Vice President, Technology and
Innovation, LB Foster Friction Management dated 6 June 2012). The impact
world-wide has been and continues to be massive, benefitting millions of
commuters and city-dwellers.
Another paper that cited our work was produced by a European research
consortium focussing on active squeal attenuation.
Cigada, A. Fehren, H., Manzoni, S., Redaelli, M., Schiedewitz, M. and
Siebald, H. (2008) Investigations on the attenuation of squeal noise from
a resilient railway wheel by means of piezo-actuators. Proceedings of ISMA
2008, 2709-2723.
Cigada et al applied our work within the FP6 — funded project InMAR
(Intelligent Materials for Active Noise Reduction, see http://www.inmar.info/start.htm
). In an e-mail dated 29/6/2012, they write "we have studied your research
in order to fully comprehend the squeal phenomenon and its generation
mechanism and to find suggestions on the way to actively control it.
Finally we have been able to control squeal". One of the partners of the
InMAR consortium was the company ERAS GmbH (Göttingen, Germany), which has
a commercial interest in controlling squeal noise (and other unwanted
vibrations) by active methods.
Sources to corroborate the impact
The Vice President, Technology and Innovation at LB Foster Friction
Management, Canada, can corroborate the claim that LB Foster have gained
valuable insight through our work and that this was crucial for the
development of their KELTRACK ® Top of Rail Friction Modifier, which now
controls curve squeal in public transport systems around the world.
An Associate Professor at Politecnico di Milano can corroborate the claim
that my work was used in the FP6 — funded project InMAR to
develop an active squeal control method.