Bilaga 2
N. Str¨
omberg
Curriculum Vitae
Sven Gunnar Niclas Str¨
omberg, 680614-2755, male.
Business Address
School of Engineering, J¨onk¨
oping University
Department of Mechanical Engineering
P.O. Box 1026
551 11 J¨onk¨
oping
Phone: +46 36–10 16 78, Fax: +46 36–12 53 31
E-mail: stni@jth.hj.se, web page: http://www.fema.se
Home Address
Plat˚
av¨
agen 15
561 35 J¨onk¨
oping
Phone: 036–14 78 20, 0730–744022
University Degrees
Master of Science, Link¨
oping University, 1992–11–09.
Licentiate of Engineering, Link¨
oping University, 1995–08–09.
Doctor of Philosophy, Link¨
oping University, 1997–10–24.
Docent (Associate Professor), Link¨oping University, 2005–12–15.
Employments
M.Sc. Thesis at ABB Atom AB 1992–07–01 until 1992–09–30.
Engineer at ABB Atom AB 1992–10–01 until 1993–01–31.
Ph.D. student at LiTH 1993–02–01 until 1997–10–31.
Assistant Professor at LiTH 1997–11–01 until 1998–09–30.
Engineer at Knight Industriteknik AB (SAAB AB) 1998–10–01 until 1999–07–31.
Engineer at Engineering Research AB 1999–08–01 until 2000–09–30.
Assistant Professor at LiTH 2000–10–01 until 2004–07–31.
Assistant Professor at Ing, HJ 2004–08–01 until 2009–09–30 .
Associate Professor at JTH, HJ 2009–10–01 until 2010–10–31.
Professor at JTH, HJ 2010–11–01 until present.
CV
1
Bilaga 2
N. Str¨
omberg
Pedagogic Activities
Assistant for introductory courses on Solid Mechanics.
Lecturer and assistant for introductory courses on Statics.
Lecturer and assistant for introductory courses on Dynamics of Particles.
Lecturer for introductory courses in Dynamics of Rigid Bodies.
Lecturer for a Ph.D. course on Nonlinear Finite Elements, JTH, HJ, 2006.
Lecturer for a part on Neural Networks of a Ph.D. course on Intelligent Computer
Systems for Design Automation, Ing, HJ, 2006.
Lecturer for a Ph.D. course on Continuum Mechanics, JTH, HJ, 2007.
Lecturer for a graduate course on Nonlinear Finite Elements (TOFD28), JTH,
HJ, 2008-2013.
Lecturer for a graduate course on Design Optimization (TODD28), JTH, HJ,
2008-2013.
The best teacher at the programme for Mechanical Engineering, LiTH, Link¨oping,
1993/94.
Candidate for the best teacher at the programme for Industrial Engineering and
Management, LiTH, Link¨
oping, 1997.
Development of tutorials in Rigid Body Dynamics, tmme18, LiTH, 2000-2003.
A TEKIT project, SMET - A Matlab toolbox for tutorials in rigid body dynamics,
LiTH, 2002.
Development of a course in Particle Dynamics, tmme60, LiTH, 2003-2004.
Development of a course in Statics and Particle Dynamics, BOSE717, Ing, HJ,
2004-2005.
Development of a course in Simulation of Rigid Body Systems, BOSE699, Ing,
HJ, 2005.
Development of a Ph.D. course on Nonlinear Finite Elements, Ing, HJ, 2006.
Development of a part on Neural Networks of a Ph.D. course on Intelligent
Computer Systems for Design Automation, Ing, HJ, 2006.
Development of a Ph.D. course on Continuum Mechanics, Ing, HJ, 2007.
Development of a course on Applied Mechanics for the programme in Prosthetics
and Orthotics at HHJ, ING, HJ, 2006.
Development of a graduate course on Non-Linear Finite Elements for the master
programme in Product Development and Materials at JTH, 2008.
Development of a graduate course on Design Optimization for the master
programme in Product Development and Materials at JTH, 2008.
Development of a Ph.D. course on Probability, Reliability and Statistical Methods
in Engineering Design, JTH, 2011.
Development of Ph.D. course on Computational Contact Mechanics, JTH, 2013.
Completed a course on graduate student supervision (Universitetspedagogik, Steg
3a Forskarhandledning), 3 ECTS credits, 2004.
Training in leadership, 300 hours, Sergeant (Kvarterm¨
astare), I11, V¨
axj¨
o, 1991.
Assistant supervisor for two doctors of philosophy: P. Ireman, Continuum Models
and Numerical Methods for Tribological Systems, Link¨oping Studies in Science
and Technology, Dissertation No. 815, 2003, and O. Lundvall, Contact Mechanics
and Noise in Gears, Link¨
oping Studies in Science and Technology. Dissertations.
No. 862, 2004.
Supervisor for five Ph.D. students: E. Gustafsson, Optimization of Castings by
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Bilaga 2
N. Str¨
omberg
using Surrogate Models, Link¨
opings Studies in Science and Technology. Thesis
No. 1325, LIU-TEK-LIC-2007:34, 2007. M. Hofwing, Robustness and FEA of
Residual Stresses in Castings, Link¨oping Studies in Science and Technology.
Thesis No. 1404, LIU-TEK-LIC-2009:12, 2009. Robustness Analysis of Residual
Stresses in Castings, Link¨
oping Studies in Science and Technology, Dissertation
No. 1415, 2011. M. Tapankov, ProOpt, 2009-. A. Rashid, FFI-Broms, 2010-, K.
Amouzgar, 2013-.
Supervising a number of Master theses in Mechanical Engineering.
An introduction to statics and particle dynamics, lecture notes, in Swedish, N.
Str¨
omberg, 2004.
An introduction to rigid body dynamics, lecture notes, in Swedish and English,
N. Str¨
omberg, 2007.
MATLAB - a short introduction, in Swedish and English, N. Str¨
omberg, 2007.
A course on non-linear FEA by using Cosmos/M, a collaboration with FEMA
AB and MP Engineering, N. Str¨
omberg, 2006.
Miscellaneous
The scholarship of Folke Odqvist, Svenska Nationalkommitt´en f¨or mekanik
(http://www.tfd.chalmers.se/snm/), 1994.
The scholarship of Saab Aerospace (30 000 SEK), Link¨oping, 1996.
Member of the board of the Department of Mechanical Engineering, Link¨oping
University, 1994-1996.
Member of the Council for IT Questions at JTH, 2007.
Member of the Council for Postgraduate Education at JTH, 2007.
Member of the Organizing Committee of Euromech Colloquium 351: Systems
with Coulomb Friction, Vadstena, Sweden, August 5-7,1996.
Participate in the course on Nonlinear Finite Element Analysis by T.J.R. Hughes
and T. Belytschko, Paris, France, April, 2000.
Reviewer for International Journal of Solids and Structures, 2000, 2001, 2002,
2003, 2004, 2012.
Reviewer for International Journal for Numerical Methods in Engineering, 2004,
2012.
Reviewer for Structural Engineering and Mechanics, 2005.
Reviewer for Journal of Sound and Vibrations, 2006 (twice), 2007.
Reviewer for International Journal of Non-Linear Mechanics, 2006, 2007.
Reviewer for Wear, 2006, 2007, 2009, 2011.
Reviewer for the ASME IDETC/CIE conference, 2007, 2009, 2010, 2013.
Reviewer for Computer Methods in Applied Mechanics and Engineering, 2009.
Reviewer for Structural and Multidisciplinary Optimization, 2009, 2010.
Reviewer for Optimization and Engineering, 2010.
Reviewer for Mechanics Research Communications, 2011.
Reviewer for Journal of Strain Analysis for Engineering Design, 2012.
Reviewer for Finite Elements in Analysis and Design, 2012.
Member of the grading committee for the oral defence of the thesis Modelling and
Simulation of Anti-Backslash Involute Gear Transmissions - A Finite Element
Approach by Jesper Brauer, Kollegiesalen, KTH, 17 September, 2003.
Member of the grading committee for the oral defence of the thesis by Andreas
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Bilaga 2
N. Str¨
omberg
Almqvist, Division of Machine Elements, Lule˚
a, 22 September, 2006.
Member of the grading committee for the oral defence of the thesis by Tomas
Dersj¨
o, Department of Solid Mechanics, Stockholm, 12 Mars, 2012.
Opponent at the oral presentation of the licentiate thesis of engineering Robust
Design - Accounting for Uncertainties in Engineering by David L¨
onn, Division of
Solid Mechanics, Link¨
oping university, 15 December, 2008.
Opponent at the oral presentation of the licentiate thesis of engineering A
Mechanical Model of an Axial Piston Machine by Rasmus L¨
ofstrand Grip,
Department of Machine Design, Royal Institute of Technology, 16 September,
2009.
Founded FEMA AB (Org.nr: 556725-3298), 2007.
Oral presentation on a seminar on lightweight structures, Gothenburg, 26 April,
2007.
Invited lecturer to an Altair Workshop on Design Optimization in Tampere, 28
February, 2008.
Invited lecturer to an Altair Workshop on Robust Lightweight Design, Gothenburg, 31 March, 2009.
Offered the position as Professor in Machine Elements at LTH, 2009 (first choice).
Official research leader for a group on Simulation & Optimization of machine
components and mechanical systems at JTH, J¨onkping University, 2010.
Organizer of a workshop on Optimization Driven Design, ProOpt, ProViking,
October 7th, J¨onk¨
oping, 2010.
Oral presentation on a workshop on Optimization Driven Design, ProOpt,
ProViking, October 7th, J¨onk¨
oping, 2010.
Oral presentation on the Manufacturing R&D Conference, 24-26 May, Katrineholm, 2011.
Oral presentation on L¨
ansstudiedag f¨or gymnasiel¨arare, 9 November, J¨onk¨
oping,
2011.
Member of International Scientific Committee for 3rd International Conference
on Engineering Optimization - Rio de Janeiro, Brazil, 1-5 July 2012.
Member of Editorial Board for Journal of Applied Mathematics, 2011-.
Member of International Scientific Committee for 3rd International Conference
on Computational Contact Mechanics - Lecce, Italy, 10-12 July 2013.
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Bilaga 1
N. Str¨
omberg
Scientific and Teaching Activities
Scientific background
I am currently employed as Professor in Machine Design with focus on
Simulation & Optimization at J¨onk¨oping University. I am also official
research leader since 2010 for a group on Simulation & Optimization
of machine components and mechanical systems. My early scientific
background concerns computational contact mechanics. In this field
I became associate Professor (oavl¨onad docent) in 2005 at Link¨oping
University. The corresponding Ph.D. thesis had been presented eight
years before. In 2004 I started a new path of my research when I moved
to J¨onk¨oping University. Research within the field of simulation- and
optimization driven design was initiated by developing methods within
the field of topology optimization and surrogate based design optimization
(SBDO). Meanwhile I have continued my research on computational
contact mechanics by developing a unique method for simulating frictional
heating in disc brakes. In addition, research on residual stresses from
solidification of castings has also been conducted together with two Ph.D.
students of mine1 . My research on topology optimization, SBDO and
frictional heating in disc brakes is collected in three toolboxes which
are presented in more detail below. I have published 20 peer-reviewed
journal papers (an additional one is submitted), 33 papers in conference
proceedings and a large number of abstracts in conferences. I have been
reviewer for 12 different journals, member of the scientific committee for
two international conferences, a member of the grading committee of
three Ph.D. theses, and the opponent for two licentiate theses. I addition,
I have also more than two years of experience as mechanical engineer at
ABB Atom, Saab Aero and ERAB.
Toolbox-driven research
A clear ambition in all my projects, both for me and my Ph.D. students, is
to package the research in a toolbox. Today, three mature toolboxes exist:
one for topology optimization (topo4abq), one for SBDO (meta4abq)
and a toolbox for frictional heat simulation in disc brakes (brake43p).
1
Youtube movie: http://www.youtube.com/watch?v=7Qi3GoCeLh4
Scientific and Teaching Activities
1
Bilaga 1
N. Str¨
omberg
Figure 1: A trade-off curve between the compliance and the volume fraction
for a gear shift component generated by a hyperoptimal formulation with
contact conditions. Results generated by Topo4abq (www.fema.se).
Topo4abq can solve large problems in three-dimensions with contact conditions and draw directions included. A bench-mark of a crank-follower
mechanism is presented in Figure 1, showing the trade-off between compliance and volume. Currently, development of methods for problems with
non-matching meshes and problems with large deformations are on-going.
Meta4abq includes several options for design of experiments, surrogate
models, optimization methods, robustness analysis and reliability based
design optimization. The latter feature has been developed most recently
in a ProViking project (ProOpt). In the development of this toolbox,
not only gradient based methods have been utilized, but also methods
from the field of soft computing have been adopted such as genetic
algorithms, particle swarm algorithms, artificial neural networks, Kriging
and radial basis function networks. Both topo4abq and meta4abq can be
downloaded from http://www.fema.se and are used in my master course
on optimization driven design. Finally, a unique method for simulating
frictional heating in disc brakes is implemented in brake43p. Instead of
adopting a standard Lagrangian approach, the disc is formulated in an
Eulerian frame. In such manner the material of the disc flows through
the mesh and a most effective algorithm is obtained. Figure 2 shows a
heat band in a real disc brake to a heavy truck simulated by using the
Scientific and Teaching Activities
2
Bilaga 1
N. Str¨
omberg
toolbox. Currently, the method is connected to a flexible multi-body
model of a test rig. In such manner, virtual rig tests of disc brakes are
made possible. This work will be presented at a conference in June.
Figure 2: A heat band developed in a disc brake. From N. Str¨omberg, An
Eulerian Approach for Simulating Frictional Heating in Disc-Pad Systems,
European Journal of Mechanics, A/Solids, 30, 673–683, 2011.
Supervising Ph.D. students
Today, I am head supervisor for three Ph.D.-students (A. Rashid, M.
Tapankov, K. Amouzgar). They all work in the field of finite element
simulation and optimization of machine components. Two of them are
preparing their licentiate theses which are planned to be presented before
summer. The third student recently begun his work on multi-objective optimization of machine components by using surrogate models. Previously,
I have been the head supervisor for two Ph.D. students, one finishing with
the degree of licentiate of engineering (E. Gustafsson), and the other one
with the degree of doctor (M. Hofwing). Projects that have or are financing these Ph.D. students are
• VIKTOR, 2006-2009, 900 kSEK, Viktsoptimalt gjutgods med
topologioptimering, del i st¨orre projekt, Vinnova.
• MERA-Pl˚
at,
2006-2010,
3000
kSEK,
Viktsoptimala
pl˚
atformningsverktyg, del i st¨orre projekt, Vinnova.
• ProOpt-Optimeringsdriven design, 2010-2012, 2700 kSEK,
Optimeringsdriven design av komponenter, del i st¨orre projekt,
ProViking, Strategiska stiftelsen.
• FFI-Broms, del 1, 2010-2012, 2700 kSEK, Simulering och optimering av bromssystem, Vinnova.
Scientific and Teaching Activities
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Bilaga 1
N. Str¨
omberg
• FFI-Broms, del 2, 2012-2014, 2500 kSEK, Simulering och optimering av bromssystem, Vinnova.
The total funding of these projects is 11800 kSEK. The partners have been
LiTH, Chalmers, Altair, CybAero, Enmesh, ERAB, Esteco, Kongsberg
Automotive, GM Powertrain, SAAB Aero, SAAB Auto, Volvo Cars and
Volvo Trucks.
Furthermore, I have also been assistant supervisor for two Ph.D.students, O. Lundvall and P. Ireman, in the field of computational
contact mechanics. One project concerned development of new methods
for fretting fatigue and in the other project methods for studying the
transmission error in gears were developed. They presented their theses
in 2003 and 2004, respectively. I took a major role in both these projects,
which was an important experience for me at that time. During this
period I also took a course on supervising Ph.D.-students.
Teaching background
I have over 15 years of experience in teaching different courses in engineering mechanics. On the bachelor level I have given courses on solid
mechanics, statics, particle dynamics and rigid body dynamics. On the
master level I am currently giving courses on non-linear finite elements
and design optimization. In addition, I have given four Ph.D.-courses, one
in non-linear finite element analysis, continuum mechanics, probability,
reliability and statistical methods in engineering design, and currently a
course on computational contact mechanics. I have more than 2500 classroom hours of experience. I have developed several courses and tutorials,
written course material, supervised several master thesis projects and also
won prizes for teaching. During the last years I have put a lot of effort
in writing a textbook on finite element analysis and design optimization
for mechanical engineers. The book is free and can be downloaded from
http://www.fema.se. The book was released in October last year and
has since then been downloaded 586 times (2013-03-16). I have also
taken a most active roll when developing our bachelor programme and
master program on Product development. The original idea of our master
program is in fact my proposal. I have developed new courses on introduction to mechanics, rigid body dynamics, non-linear FEA and design
optimization for our programmes. In addition, I took an active roll when
we obtained the degree-awarding powers in the area industrial product
realization, with three third-cycle subject areas: machine design, material
and manufacturing, and production systems in 2010. Furthermore, the
course on Applied Mechanics for the programme in Prosthetics and Orthotics at HHJ was partly developed by me. Examples of course materials,
Scientific and Teaching Activities
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Bilaga 1
N. Str¨
omberg
a course evaluation when I begun at J¨onkping university, an example of a
typical master thesis project, slides from my inaugural lecture as Professor
in Machine Design and an award as the best teacher are enclosed as
supplements. To summarize, I consider myself to be a very good teacher.
My teaching philosophy is to train the students by continuously defining
appropriate goals during the course which is checked by home assignments.
Scientific and Teaching Activities
5
Simulering och Optimering av
“Stressad” Kontakter
Installationsföreläsning
Jönköping, 29:e september, 2012
Niclas Strömberg
stni@jth.hj,se
2012-11-01
stni@jth.hj.se
1
Innehåll
Simulation and Optimization of Contact Problems by using
FEA, Mathematical Programming and Soft Computing
 Vem är jag?
 Simulerings- och optimeringsbaserad (Virtuell) produktutveckling
 Simulering av bromsvärme
o Ny effektiv formulering
o Värmeband
o Brake43P – en toolbox för Volvo 3P
 Topologioptimering av kontaktproblem
o Vad är topologioptimering?
o Några optimerade kontaktproblem
o Topo4abq – en gratis toolbox (www.fema.se)
 Surrogatbaserad optimering av kontaktproblem
o Ett exempel – principen för surrogatbaserad optimering
o Optimala försök och surrogatmodeller
o Tillförlitlighetsbaserad optimering
o Meta4abq – gratis toolbox (www.fema.se)
2012-11-01
stni@jth.hj.se
2
Vem är jag?


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





1992
1992
1993-97
1998-00
2000-04
2004-08
2005
2008-10
2010-
Civilingenjörsexamen – Maskinteknik vid LiTH
ABB Atom
Doktorand i teknisk mekanik vid LiTH
Beräkningsingenjör vid Saab och ERAB
Lektor i teknisk mekanik vid LiTH
Lektor i teknisk mekanik vid JTH
Oavlönad docent i teknisk mekanik vid LiTH
Docent i teknisk mekanik vid JTH
Professor i Maskinkonstruktion
 Ulrika, Lucas och Elina
 Egnahem, Huskvarna
 Klubbmästare Björklidens GK, 1994
2012-11-01
stni@jth.hj.se
3
Innehåll
 Vem är jag?
Simulerings- och optimeringsbaserad
(Virtuell) produktutveckling
 Simulering av bromsvärme
o Ny effektiv formulering
o Värmeband
o Brake43P – en toolbox för Volvo 3P
 Topologioptimering av kontaktproblem
o Vad är topologioptimering?
o Några optimerade kontaktproblem
o Topo4abq – en gratis toolbox (www.fema.se)
 Surrogatbaserad optimering av kontaktproblem
o Ett exempel – principen för surrogatbaserad optimering
o Optimala försök och surrogatmodeller
o Tillförlitlighetsbaserad optimering
o Meta4abq – gratis toolbox (www.fema.se)
2012-11-01
stni@jth.hj.se
4
Virtuell produktutveckling
•80-talet – ritplanka och handberäkningar
•90-talet – 3D CAD och handberäkningar
•00-talet – simuleringsdriven design
•10-talet – optimeringsdriven design
2012-11-01
stni@jth.hj.se
5
Virtuell produktutveckling
Konstruera
Bygga
CADda
Mesha
OPTIMERA
Simulera
Testa
Krascha
Fixa
Fixa
2012-11-01
stni@jth.hj.se
6
Innehåll
 Vem är jag?
 Simulerings- och optimeringsbaserad (Virtuell) produktutveckling
Simulering av bromsvärme
o Ny effektiv formulering
o Värmeband
o Brake43P – en toolbox för Volvo 3P
 Topologioptimering av kontaktproblem
o Vad är topologioptimering?
o Några optimerade kontaktproblem
o Topo4abq – en gratis toolbox (www.fema.se)
 Surrogatbaserad optimering av kontaktproblem
o Ett exempel – principen för surrogatbaserad optimering
o Optimala försök och surrogatmodeller
o Tillförlitlighetsbaserad optimering
o Meta4abq – gratis toolbox (www.fema.se)
2012-11-01
stni@jth.hj.se
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Bakgrund
6
8
7
4
2
5
1
3
2012-11-01
stni@jth.hj.se
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Bakgrund
2012-11-01
stni@jth.hj.se
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Traditionell formulering
Lagrange formulering
+ Etablerad teknik som finns tillgänglig i kommersiella programvaror
- Långa beräkningstider
2012-11-01
stni@jth.hj.se
10
Ny formulering
Euler formulering
- Ej tillgänglig i komersiella programvaror
+Nod-till-nod kontakt
+Fin mesh lokalt vid kontakten
+Mycket kortare beräkningstider
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stni@jth.hj.se
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Ett testexempel
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stni@jth.hj.se
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Ett testexempel
2012-11-01
stni@jth.hj.se
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Ett testexempel
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stni@jth.hj.se
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Simulering av värmeband i bromskiva
2012-11-01
stni@jth.hj.se
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Brake43P – en toolbox för Volvo 3P
2012-11-01
stni@jth.hj.se
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Innehåll
 Vem är jag?
 Simulerings- och optimeringsbaserad (Virtuell) produktutveckling
 Simulering av bromsvärme
o Ny effektiv formulering
o Värmeband
o Brake43P – en toolbox för Volvo 3P
Topologioptimering av kontaktproblem
o Vad är topologioptimering?
o Några optimerade kontaktproblem
o Topo4abq – en gratis toolbox (www.fema.se)
 Surrogatbaserad optimering av kontaktproblem
o Ett exempel – principen för surrogatbaserad optimering
o Optimala försök och surrogatmodeller
o Tillförlitlighetsbaserad optimering
o Meta4abq – gratis toolbox (www.fema.se)
2012-11-01
stni@jth.hj.se
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Vad är topologioptimering
?
For given density distribution,
solve the state problem
Sensitivity analysis
min c  F d
T
Filter sensitivities
(d, ρ )
  e  1
2012-11-01
 K (ρ)d  F  0

s.t. V (ρ)  Vmax  0
    1
e

stni@jth.hj.se
Solve LP-problem
YES
Convergence
STOP
NO
Update density distribution
18
Exempel
?
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stni@jth.hj.se
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Exempel
?
2012-11-01
?
stni@jth.hj.se
20
Topologioptimering av vingbalkar
www.altair.com
2012-11-01
stni@jth.hj.se
21
Topologioptimering i designprocessen
2012-11-01
stni@jth.hj.se
22
Topologioptimering av kontaktproblem
2012-11-01
stni@jth.hj.se
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Ett utmanande testexempel
2012-11-01
stni@jth.hj.se
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Växelgaffel
2012-11-01
stni@jth.hj.se
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Tradeoff kurva
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Topo4abq – www.fema.se
2012-11-01
stni@jth.hj.se
27
Innehåll
 Vem är jag?
 Simulerings- och optimeringsbaserad (Virtuell) produktutveckling
 Simulering av bromsvärme
o Ny effektiv formulering
o Värmeband
o Brake43P – en toolbox för Volvo 3P
 Topologioptimering av kontaktproblem
o Vad är topologioptimering?
o Några optimerade kontaktproblem
o Topo4abq – en gratis toolbox (www.fema.se)
Surrogatbaserad optimering av kontaktproblem
o Ett exempel – principen för surrogatbaserad
optimering
o Optimala försök och surrogatmodeller
o Tillförlitlighetsbaserad optimering
o Meta4abq – gratis toolbox (www.fema.se)
2012-11-01
stni@jth.hj.se
28
Surrogatbaserad optimering i designprocessen
2012-11-01
stni@jth.hj.se
29
Surrogatbaserad optimering – ett exempel
min max PN
s .t .

r
(

)
d


L
0

0
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Surrogatbaserad optimering - flödesschema
min max PN
Define the problem
s .t .

 r ( )d  L
0
Solve the contact problems
0
Generate surrogate models
Optimize
YES
Convergence
Optimum
NO
Panning and zooming
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Optimala försök och surrogatmodeller
Original function
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Optimal Regression Model
stni@jth.hj.se
Quadratic response surface
32
Tillförlitlighetsbaserad optimering – varför krångla till det?
2012-11-01
stni@jth.hj.se
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Tillförlitlighetsbaserad optimering
Standard formulering
Osäkerheter i exempelvis

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Materialparametrar
Laster
Infästningar
Geometri
1800
Tillförlitlighetsbaserad optimering
1600
1400
1200
1000
800
600
400
200
0
-10
2012-11-01
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0
10
20
30
40
50
34
Exempel
2012-11-01
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35
Exempel
2012-11-01
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36
Meta4abq – www.fema.se
2012-11-01
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37
Tack till
 Anders Klarbring
 Joakim Petersson
 Per Hasselberg
 LiTH
 JTH






 Vetenskapsrådet
 Vinnova
 Strategiska stiftelsen
 Volvo 3P
Peter Ireman
Olle Lundvall
Erik Gustafsson
Magnus Hofwing
Martin Tapankov
Asim Rashid
 Peter Olsson
 Jörgen Birgersson
 Staffan Sunnersjö
 Ulrika, Lucas och Elina
2012-11-01
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38
Glöm inte ….
2012-11-01
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39