Submitting Institution
University of CambridgeUnit of Assessment
General EngineeringSummary Impact Type
TechnologicalResearch Subject Area(s)
Mathematical Sciences: Applied Mathematics
Technology: Communications Technologies
Summary of the impact
The "Inerter" is a completely new mechanical device and suspension
component that was conceived by Professor Malcolm Smith at University of
Cambridge Department of Engineering (DoEng), as a result of his
fundamental study of the possible behaviour of passive mechanical systems.
Penske Racing Shocks purchased a license to produce versions of the
Inerter for sale to Formula 1 (F1) teams and in IndyCar racing in 2008,
once the Inerter's use in the McLaren cars that won 10 out of 15 races in
the 2005 F1 season was widely known and McLaren's exclusive licence had
lapsed. The use of the Inerter is now endemic in F1 and IndyCar racing.
Underpinning research
Professor Malcolm Smith became a lecturer in the University of Cambridge
Department of Engineering (DoEng) in 1990 and was promoted to Professor in
2002. Following some consulting work on the control of active suspensions
for a Formula 1 (F1) team in 1991-93, he initiated an academic research
programme on active suspension systems. In 1994, active suspensions were
banned in F1. This provided motivation for Smith to extend his fundamental
academic work to the behaviour of passive mechanical systems with EPSRC
support.
It is well-known that a circuit will be passive if its impedance is
positive real. Furthermore, elegant circuit theory from the 1940s had
shown that any such impedance could be realised by a network of resistors,
inductors and capacitors. The standard analogy between electrical and
mechanical circuits relates current to force and voltage to velocity,
which then gives the following correspondences: spring with inductor;
damper with resistor; and mass with capacitor. It was known, but only
rarely mentioned, that the electrical-mechanical correspondence is not
exact, because all the elements have two terminals except the mass, which
has only one terminal and so really corresponds to a capacitor with one
terminal connected to ground. Hence the elegant electrical circuit
synthesis results could not be directly applied.
Smith observed that to complete the analogy there needed to be an element
whose force was proportional to the relative acceleration between its two
terminals. Smith's inventive step was to demonstrate that such a device
could be constructed, whereupon a patent was filed by Cambridge Enterprise
in 2001 [1] and later granted, and a paper was published in 2002 [2],
describing a number of embodiments of the invention. This new component,
coined the "Inerter", makes possible the physical realisation of any
passive network impedance. In particular, it gives suspension designers an
additional passive component, with very different characteristics to
springs and dampers, which can be used to deliver enhanced performance.
Smith's further research, leading a team of Research Associates with
EPSRC funding**, has developed theory on how to deploy Inerters in
suspension systems to best advantage (e.g. [3-5]) and solved a number of
fundamental open questions in circuit synthesis (e.g. classification of
Ladenheim networks using a new concept of regularity [6], proof of
necessity of the Bott-Duffin construction for circuit synthesis, and
derivation of criteria for the required number of components of a given
type).
References to the research
[1] Patent. Smith, M.C., "Force-controlling mechanical device", US patent
no: 7,316,303 granted 8 January 2008
[2]* Smith, M.C., "Synthesis of Mechanical Networks: The Inerter", IEEE
Transactions on Automatic Control, Vol 47, No 10, pp 1648-1662, DOI:
10.1109/TAC.2002.803532, October 2002.
[3] Smith, M.C. and Wang, F-C., "Performance Benefits in Passive Vehicle
Suspensions Employing Inerters", Vehicle System Dynamics, Vol 42, No 4, pp
235-257, DOI: 10.1080/00423110412331289871, 2004.
[4]* Scheibe, F. and Smith, M.C., "Analytical Solutions for Optimal Ride
Comfort and Tyre Grip for Passive Vehicle Suspensions", Vehicle System
Dynamics, Vol 47, No 10, pp 1229-1252, DOI: 10.1080/00423110802588323,
2009.
[5] Papageorgiou, C. and Smith, M.C., "Positive Real Synthesis using
Matrix Inequalities for Mechanical Networks: Application to Vehicle
Suspension", IEEE Trans. on Contr. Syst. Tech., Vol 14, No 3, pp 423-435,
DOI: 10.1109/TCST.2005.863663, 2006.
[6]* Jiang, J.Z. and Smith, M.C., "Regular Positive-Real Functions and
Five-Element Network Synthesis for Electrical and Mechanical Networks",
IEEE Trans. on Automat. Contr., Vol 56, No 6, pp 1275-1290, DOI:
10.1109/TAC.2010.2077810, 2011.
* References which best reflect the quality of the underpinning research.
**EPSRC grants related to this research: "System design fundamentals for
passive and active suspensions", 1996-1998, GBP80k; "The Inerter concept
in mechanical networks: control, design and implementation", 2002-2004,
GBP215k; "Theory and application of Inerters for mechanical control",
2008-2011, GBP290k; "Control for energy and sustainability", Programme
Grant, 2009- 2014, GBP5.5M (shared with Imperial College). Smith was the
Principal Investigator for all these grants except the Programme Grant for
which Professor RB Vinter at Imperial College was the Principal
Investigator with Smith as the lead Co-Investigator for the University of
Cambridge.
Details of the impact
The Inerter invention and associated academic work has been widely
recognised as a fundamental innovation. It has led directly to Smith
delivering over 20 plenary, invited or named lectures since 2008 at many
locations around the world including: Hyderabad, Kyoto, Budapest, Nanjing,
Gent, Boston, Wuerzburg, Hong Kong, London, Tokyo, Oberwolfach, Toronto,
Athens, Koblenz, Tel Aviv and elsewhere. Smith was elected to become a
Fellow of the Royal Academy of Engineering and this research was
referenced in his citation.
4.1 Context
In motor racing, car performance is ultimately limited by the ability of
the car to grip the road while transferring power through the tyres, and
suspension design is a critical area differentiating one team from
another. Earlier innovations to improve grip, such as active suspension
and tuned mass dampers had been developed, and in F1 were subsequently
banned by the Federation Internationale de L'Automobile (the FIA: which is
the governing body for world motor sport and the federation of the world's
leading motoring organisations including F1 and the World Rally
Championship). Nevertheless, the quest for competitive advantage in such a
high-profile sport is unrelenting.
4.2 Technology transfer and development
Based on his previous experience with active suspension design in F1,
Smith realised that the Inerter could give performance advantages in this
area and in 2001 presented his work to McLaren Racing (with whom DoEng had
an established relationship). Smith worked through Cambridge Enterprise to
arrange a joint development agreement granting exclusive rights in F1 to
McLaren in 2002 for a limited period. Understanding how to make optimal
use of one or more Inerters required extensive analysis, simulation,
experimentation and track testing. It was also necessary to develop
light-weight and reliable components. In due course, a clear lap-time
advantage was demonstrated by the McLaren team with Smith working as a
consultant.
4.3 Significance of the Inerter
The first use of an Inerter in an F1 race was in Kimi Raikkonen's McLaren
MP4-20 at the 2005 Spanish Grand Prix which he won. McLaren cars then won
10 of the remaining 15 races of the 2005 season. The significance of the
invention is further evidenced by McLaren's efforts to keep it secret
under the code name "J-damper", the efforts of others to discover the
design and use of this new component, and the subsequent case of spying
brought by McLaren against the Renault engineering team in 2007. This
spying case also shows the radical and subtle nature of the invention,
because the FIA found that "Renault fundamentally misunderstood the
operation of the system" even after seeing the drawings for the
J-damper (Paragraph 8.7, FIA World Motor Sport Council Decision, 7
December 2007).
4.4 Impact from 2008
During the December 2007 hearing, neither the World Motor Sport Council
nor McLaren made public what the J-damper was. Thereafter, speculation
increased on internet sites and blogs about the function and purpose of
the device and there were many amusing and erroneous guesses. Finally, the
truth was discovered by a motor sport correspondent from the Autosport
magazine, Craig Scarborough. Autosport ran an article on May 29, 2008,
page 33, "Mark Hughes on... A genius idea, and why McLaren hasn't
tried to stop others using it", which revealed the Cambridge
connection and that the J-damper was an Inerter. The exclusive license
with McLaren was then allowed to lapse and, in 2008, Penske Racing Shocks
was granted a non-exclusive license to design, develop, and produce
generic and team specific Inerter designs as well as future embodiments
and enhancements. To quote from the Penske Racing Shocks press release
[7]: "The benefit of the Inerter to the handling characteristics of
all racing vehicles is undeniable in both theory and practice. We are
confident that the ingenuity of Cambridge now combined with Penske
product quality, performance, and customer service, will promote greater
exposure of the Inerter in Motorsport."
Publicity about the Inerter and its use in motorsport has continued at a
high level in the popular press and magazines [8, 9]. The Inerter featured
in a report by the IEEE Control Systems Society presenting success stories
in control engineering [10]. At the same time, its use has spread beyond
the F1 grid to IndyCars and several other formulas (with customer names
remaining confidential in many cases). Cambridge Enterprise is receiving
royalties for direct licenses from several F1 teams and, through Penske,
from several more (the values remain confidential). It is widely assumed
that all 12 current F1 teams are using Inerters [11].
The Inerter is now permitted in the IndyCar Series Rule Book [12] with
certain packaging constraints and Cambridge Enterprise is receiving
royalties from Penske and another licensed supplier of Inerters, GWC
Engineering, from a majority of the IndyCar teams. Royalties are also
being received from Penske from a number of customers in different domains
of motorsport outside of F1 and IndyCars, with details largely very
confidential. Penske has continued a strong development programme in
collaboration with Cambridge. In 2011, Penske launched a new product,
which was covered in the technical press [13].
To quote from Penske's Director of Research and Development [14], "Developing
the use of Inerters in racing with Dr. Smith and Cambridge University
has helped Penske Racing Shocks to increase our market share within the
our industry, and significantly increase overall sales. The use of
Inerters in race car suspension design has helped our customers to both
increase grip levels and platform stability at the same time making this
development a necessity to be competitive in many racing formulae."
To quote from the McLaren Head of Vehicle Dynamics [15]: "In McLaren
Racing we have worked with Prof Malcolm Smith since 2001 when he first
introduced us to the concept of suspension networks containing the
Inerter. Prof Smith's work in this area was completely new at the time,
so far as we know, and we worked with him for a number of years to
understand the technology and optimise the Inerter for use in Formula
One. We successfully applied the system to our Formula One cars and we
understand it has also been used by many other Formula One teams. It has
been very satisfying to see a technology born out of a highly academic
study of passive electrical and mechanical networks turn into a tangible
benefit in Formula One suspension."
The significance of this work is summarised by the Technical Advisor to
the President of the FIA, 2006 to 2010 [16], "The Inerter was the
outstanding technical advance that came to my attention while at the
FIA. There were many clever improvements and refinements of technology
every year in Formula One, but the Inerter stood apart in that it was
totally new thinking coupled with real potential benefit for the
automotive industry. Suspension systems although infinite in variety had
always depended on springs and dampers to determine their
characteristics. The Inerter allows a new fundamental component to be
added. Electronics without a capacitor would be rather stunted, now
suspension designers have a previously missing component."
The significance is further underlined by Paddy Lowe, who was Engineering
Director (2005-2011) and then Technical Director (2011-2013) at McLaren
Racing, before becoming Executive Director (Technical) at Mercedes Grand
Prix (2013-), "The Inerter was first introduced to F1 in 2005 and has
become a standard element of F1 suspension systems, now of equal rank to
the spring and the damper in our constant search for higher levels of
grip and stability."
Sources to corroborate the impact
[7]Penske press release, "Penske Racing Shocks to supply Cambridge
Inerter technology in F1", 19 August, 2008 (http://www.penskeshocks.com/PRESS_2008-08-19.php)
[8]"Ingenuity still brings success in Formula 1", Grandprix.com, http://www.grandprix.com/ns/ns20669.html
[9]"Toyota's Secret F1 Car", cover feature in Racecar Engineering (July
2010, Vol 20, No 7, pages 12-18)
[10]"Control for Formula One!", The Impact of Control Technology,
T. Samad and A.M. Annaswamy (eds.), IEEE Control Systems Society, 2011,
available at http://ieeecss.org/sites/ieeecss.org/files/documents/IoCT-Part2-14FormulaOne-LR.pdf
[11]"The Science of Formula 1 design" by David Tremayne, Haynes
Publishing, 2009. Discusses the development and deployment of the Inerter
(J-damper) in F1 racing, pages 131-4 and 186.
[12]2013 IZOD IndyCar Series Rule Book, https://hardcards.indycar.com/Resources/pdfs/2013_IICS_Rulebook.pdf
[13]"Shocks to the system: three years on from the J-damper story Penske
Racing Shocks announces its hybrid damper/Inerter for wider application",
Simon McBeath, Racecar Engineering, November 2011, pages 51-56
[14]Statement received from Director of Research and Development, Penske
Racing Shocks.
[15]Statement received from Head of Vehicle Dynamics, McLaren Racing.
[16]Statement received from the Technical Advisor to the President of the
FIA, 2006 to 2010.
[17]Statement received from Mr Paddy Lowe, Executive Director (Technical)
at Mercedes Grand Prix (who gave permission to be named).