Interactive stress analysis of mechanical and aerospace components
Submitting Institution
University of DurhamUnit of Assessment
General EngineeringSummary Impact Type
TechnologicalResearch Subject Area(s)
Mathematical Sciences: Applied Mathematics, Numerical and Computational Mathematics
Information and Computing Sciences: Computation Theory and Mathematics
Summary of the impact
This case study concerns economic impact accruing in the aerospace
engineering industry in Europe from software developed to perform stress
analysis. Durham research has led to a spinout company, Concept Analyst,
Ltd., and the software resulting from the research (Concept Analyst) is
currently licensed by the following companies: BAE Systems (Brough,
Samlesbury, Warton, Prestwick sites), Agusta Westland, Assystem, Jesmond
Engineering, Spirit Aerospace. Trials are currently in place at Airbus UK
and Bombardier, Canada. An agreement has been signed with the fatigue
consultancy Jesmond Engineering, Ltd. to market the software within the
aerospace sector. Economic impact arises from time savings for designers
using Concept Analyst as compared to conventional commercial tools.
Underpinning research
Context
Research into rapid, interactive stress analysis has been carried out by
the research group led by Professor Jon Trevelyan since he joined Durham
in 1996. The research centres on the use of the Boundary Element Method
(BEM), which is a standard method of solving systems of partial
differential equations that first appeared around the 1960s. The BEM
offers significant benefits over the Finite Element Method (FEM) for
certain classes of problem. In this research, we exploit two of those
advantages, i.e. (i) the ease, speed and robustness of remeshing resulting
from the reduction in dimensionality, and (ii) the accuracy of stress
solutions, particularly around discontinuities such as crack tips.
Nature of the research
The novel research developments are:
- the integration of the analysis with a user-friendly graphical
interface, automating much of the traditional effort associated with
building models for analysis. This allowed engineers to analyse designs
sketched in a similar fashion to using graphical tools like Powerpoint -
key outputs KO1, KO3 (see section 3).
- The acceleration of the analysis by developing rapid integration
schemes and a bespoke preconditioned linear equation solver for
"re-analysis", i.e. a stress analysis of an object similar to one that
has just been analysed, to the extent that real-time update of stress
contours is achieved on an evolving geometry — key outputs KO2,
KO4.
- The use of innovative methods in numerical fracture mechanics to
provide accurate estimation of fracture and fatigue parameters — key
output KO5.
Period of the research and key researchers
The research has been an on-going project in Durham since 1996, when
Prof. Trevelyan joined the university. He has remained the leader of the
project throughout, and so his name is not listed in the following
material. Key dates and associated projects are:
-
1998-2000: EPSRC award GR/L73128 (1998-2000, £64k). With Dr.
Peiji Wang (PDRA), implemented object oriented code in 2D and first 3D
code, optimised quadrature schemes, and first interactive BEM
re-analysis for conceptual design.
-
2000-2003: With Miss Eva Cervera (PhD student) developed the
first evolutionary structural optimisation scheme using BEM with
spline-based control of geometry.
-
2001-2005: With BAE Systems funding (two contracts,
2001-2005, 166k) Mr. Gareth Bird (RA) automated robustness checks,
adaptivity and domain decomposition.
-
2003-2006: EPSRC/BAE Systems Industrial CASE award
(2003-2006, £72k). With Mr. Derek Scales (PhD student), developed fast
integration schemes and a pre-conditioned iterative solver specifically
for BEM re-analysis — key output KO4.
-
2007-2010: EPSRC award EP/E12310/1 (2007-2010, £80k). With
Mr. Robert Simpson (PhD student), developed enriched fracture
approximations for BEM — key output KO5.
- 2009-2013: EPSRC award EP/H000046/1 (2009-2013, £374k). With
Dr. Shadi Mohamed (PDRA) and Mr. Tim Foster (PhD student), extension of
our ideas to 3D.
References to the research
Key outputs
KO1. J. Trevelyan (1998), On the use of partial
re-analysis in conceptual mechanical design, Communications in
Numerical Methods in Engineering, 14(11), 1047-1053. DOI:
10.1002/(SICI)1099-0887(199811)14:11<1047::AID-CNM208>3.0.CO;2-4
KO2. J. Trevelyan & P. Wang (2001), Interactive
Re-Analysis in Mechanical Design Evolution. Part II: Rapid Evaluation of
Boundary Element Integrals, Computers & Structures, 79(9),
939-951. DOI: 10.1016/S0045-7949(00)00177-2
KO3. J. Trevelyan, P. Wang, S.K. Walker (2002), A scheme
for engineer-driven mechanical design improvement, Engineering
Analysis with Boundary Elements, 26(5), 425-433. DOI:
10.1016/S0955-7997(02)00014-0
KO4. J. Trevelyan & D.J. Scales (2007), Techniques to
accelerate BEM computation to provide virtual reality update of stress
solutions, Engineering Analysis with Boundary Elements, 31(11),
875-889. DOI: 10.1016/j.enganabound.2007.04.004
KO5. R. Simpson & J. Trevelyan (2011), A Partition of
Unity enriched Dual Boundary Element for accurate computations in fracture
mechanics, Computer Methods in Applied Mechanics and Engineering,
200(1-4): 1-10. DOI: 10.1016/j.cma.2010.06.015
The invitation for Trevelyan to deliver a plenary keynote address
entitled "Interactive stress analysis in an industrial context" at the
TMCE 2012 Conference in Karlsruhe, Germany, May 2012, provides evidence of
the international excellence of the research.
Details of the impact
History of impact generation:
Engineers from BAE Systems (Warton and Brough) were first exposed to the
Durham research in interactive stress analysis in 1999. This was timely,
since the company was actively seeking tools that would allow rapid and
simple assessment of the stress concentrations that arise in aircraft
structures. They undertook a six-month trial period (value £20k) of the
Concept Analyst software in-house, and found that it offered a solution
that was sufficiently intuitive that it could easily be used by their
large number of stress engineers who were not regular finite element
users. Usage of the system expanded, ultimately becoming part of the
standard toolbox for about 100 structural engineers across multiple BAE
sites (Warton, Brough, Samlesbury, Prestwick and Farnborough). Seven
half-day training courses have been provided by Durham University staff at
BAE sites, at each of which staff were present who worked at multiple
sites (value £10.5k).
In 2001, the level of interaction with BAE Systems had developed to the
extent that the Durham University spinout company Concept Analyst, Ltd.
was formed with Prof. Trevelyan as Managing Director. While research
projects are undertaken at Durham University, the spinout company handles
software licensing, contracts and documentation, and also funds
implementation of the algorithmic research outputs into the core Concept
Analyst software that is made available commercially. The company has
traded continuously to the present day.
The key contacts in BAE Systems
became enthusiastically engaged in the project and funded further
developments from 2001 to 2005.
Further links have been obtained with other industrial beneficiaries.
Jesmond Engineering, a structural analysis consultancy in Brough, East
Yorkshire, has become a regular user of the Concept Analyst software,
undertaking fatigue analysis for a wide range of major aerospace companies
in the UK and Europe. Since the signing of a reseller agreement in 2006,
Jesmond Engineering has acted as an agent representing and reselling the
Concept Analyst software throughout the UK and European aerospace sector.
Through this arrangement the research outputs have been used in the REF
period at Agusta Westland Helicopters (Italy), Assystem (UK) and Pilatus
Aircraft (Switzerland), and trials are in progress at Airbus (UK) and
Bombardier (Canada). A training course was held at Agusta Westland in
Milan (value £1.5k).
BAE Systems and Jesmond Engineering continue to be committed to
involvement in Concept Analyst, providing letters of support for EPSRC
grant proposals, acting as beta sites for new feature releases and
participating in steering groups for new developments.
In an email dated 17th September 2013 (hereafter referred to
as email 1), the F-35 DaDT Lead, Aft Fuse and Empennage, BAE Systems,
Samlesbury, Lancashire, describes the impact these Durham research outputs
have had within BAE Systems:
An accurate determination of fatigue life is of paramount importance
to the design, manufacture and support of military aircraft ... in order
to provide efficiency and performance whilst maintaining structural
integrity throughout their service life. Accurate determination of the
stress concentration values associated with many unavoidable geometric
features, such as fastener holes and changes in section and width of
components, is a key element of this analysis. Concept Analyst has been
employed for this purpose for over a decade now and the capability
provided has expanded over this time to enhance the benefits that we see
from this capability...
Throughout the lifecycle of the aircraft (initial design, through
manufacture to in-service support) fatigue life calculations are
required and these often need to be generated rapidly. Whilst there are
various proven stress analysis tools available (both Finite Element and
Boundary Element based) that are capable of the level of accuracy
required, it is the speed and ease of use that set Concept Analyst apart
and deliver key cost benefits...
The first F-35 aircraft was rolled out by Lockheed Martin at Fort
Worth, Texas, at the end of 2008. Wikipedia reports a unit cost for
Typhoon aircraft as approximately £65m and upwards of $150m, dependent
on variant, for a single F-35. Whilst we do not manufacture and assemble
all components of either of these aircraft, with such high values, it is
easy to see how significant cost savings can be made through increased
efficiency of analysis. Some individual parts are worth well in excess
of $10,000. Production rate for the F-35 is currently of the order of 40
aircraft a year but this is set to increase to 1 aircraft per day.
Concept Analyst allows completion of a fatigue analysis in a matter of
minutes to hours whereas using other commercial FEM and BEM applications
could take a day or two. In many instances, a delay to analytical
results can, itself, cause increased costs through delayed production or
lack of availability. The faster turn around that can now be provided
also increases quality and customer relations providing longer term
benefits to the company.
During the period 2008 to present, increased benefits have been enjoyed
as a result of improved capability of the application including areas
such as: Increased model size capability; improvements to the interface,
increases in speed resulting in true real time re-analysis and; part
zoning.
Concept Analyst has been, and will remain, a key analysis tool for
airframe structures engineers within the company, continuing to yield
cost benefits.
In a letter dated 20th May 2013 (hereafter referred to as
Letter 1), the MD of Jesmond Engineering, East Yorkshire, lists the key
impact-generating features as:
- The level of interactivity in the system has meant that it is
very easy and intuitive to use. It is perfectly possible for the many
stress engineers to make effective use of the code without recourse to
the comparatively very limited number of expert structural modelling
analysts, and this has had positive impacts on productivity.
- The simplified and intuitive user interface has meant that
occasional users can return to the software after an extended period
without detriment to their productivity in using it.
- Engineers are able to evaluate stress concentration factors
rapidly and with confidence to inform fatigue analysis.
- In benchmark tests the accuracy is of at least the same order as
major commercial finite element tools. This is of crucial importance
in fatigue analysis, since errors in stress solutions can be greatly
magnified in calculations for life estimation.
- Increases in accuracy are also brought about by the fact that
(unlike textbook solutions) the software can closely model the
non-standard geometries typical of real aircraft structures.
Aircraft on which the software has been used:
The Durham generated Concept Analyst software has been used to inform
design, analysis and fatigue life estimation for aircraft structural
components. In email 1, the F-35 DaDT Lead, BAE Systems, states that the:
Concept Analyst software is currently employed against design and
production of the aft fuselage and empennage of the F-35 Lightning II
(CTOL, STOVL and CV variants), Eurofighter Typhoon and Hawk aircraft.
Concept Analyst is also employed to support older aircraft such as
Tornado, Harrier. Concept Analyst has been employed during the
production of some 150 or so F-35 aircraft aft fuselages, vertical tail
pairs and horizontal tail pairs here at Samlesbury during the period
2008 to present.
In Letter 1, the MD, Jesmond Engineering, states that the code has also
been used on "Airbus A350 (preliminary analysis)" and lists some
further categories of software usage:
Our customers at AgustaWestland have used the software during fatigue
testing rig design to help avoid unexpected failures of rig parts which
may cause unacceptable delays and expensive damage to the helicopter
parts under test.
We have found that Concept Analyst software is not only of use in the
design stages of an aircraft, but throughout its lifecycle, including
for maintenance, modifications and repairs. In my opinion the efficiency
of its use can be considered to help bring safety and cost advantages to
passengers and operators. The speed and ease of Concept Analyst has lent
itself to use in production concessions, specifically undertaking rapid
assessments to decide on the structural adequacy of parts (manufactured
out of specification), each of which can cost hundreds to tens of
thousands of pounds, and to verify whether a repair is acceptable.
It is estimated that the total orders of Eurofighter Typhoon are over 500
aircraft. The value of each aircraft is estimated to be $100 to 150
million. Total Hawk orders number over 1000, with the value of each
aircraft currently estimated to be $30 million.
The Airbus A350 is a family of long-range wide-body aircraft. As of 17th
September 2013, a total of 682 orders have been placed (http://www.airbus.com/presscentre/corporate-information/orders-deliveries/)
at list price $254 to 288 million (http://www.airbus.com/presscentre/corporate-information/key-documents/?eID=dam_frontend_push&docID=14849).
Sources to corroborate the impact
(i) The web page of the spin-out company Concept Analyst, Ltd.:
www.conceptanalyst.com
(ii) Individuals who may be contacted to corroborate this evidence are:
F-35 DaDT Lead, Aft Fuselage and Empennage, BAE Systems,
Samlesbury, Lancashire: will be able to corroborate the
details of the history of BAE Systems involvement with the research, of
BAE Systems' funding of the research and of the impacts of the research on
improving productivity and reducing wastage of parts.
Managing Director, Jesmond Engineering, Brough, East Yorkshire:
will be able to corroborate the details of impacts of the research more
widely in the UK & European aerospace sectors.