Please distribute in your networks the PhD position below.
Title: Robust topology optimization under uncertainty – application to
automotive brake systems
Location: LAMIH UMR CNRS 8201, University de Valenciennes, Le Mont Houy,
59313 Valenciennes Cedex 9, France.
Supervisor staff: El-ghazali Talbi, CRIStAL UMR CNRS 9189 Université de
Lille/INRIA Lille Nord Europe ; Thierry Tison, LAMIH UMR CNRS 8201,
Université de Valenciennes; Franck Massa, LAMIH UMR CNRS 8201,
Université de Valenciennes
Keywords: Topology optimization; Uncertainty; Surrogate models;
Metaheuristic; Evolutionary algorithms; Numerical methods
Project description: Optimization under uncertainty aims at accounting
for the observed variability of some model parameters in order to tend
to robust and reliable designs. The integration of multiple uncertain
parameter, for example relative to a topology, a topography or boundary
conditions, relies on the use or the coupling of different theories
(probability, interval, fuzzy …) for a successful representation of the
observed evolutions. In engineering, investigated problems lead to large
time consuming mathematical problems associated to the objective and
state functions. Generally, they are addressed by considering the finite
element method. To solve this kind of problem, numerical strategies
based on parallel calculations, surrogate models and metaheuristic
algorithms (Evolutionary algorithms) are necessary. Moreover, a
multi-objective formulation must be considered to guarantee the
robustness of the optimal solutions.
Research in optimization is a fundamental field for all the engineering
domains to answer the new environmental requirements. The optimization
method, proposed in this project, will be applied to investigate brake
squeal phenomenon. Indeed, the reduction of environmental acoustic
pollution is a major concern for automotive manufacturers. These last
years, several research works revealed the interest for uncertain
stability analysis used to simulate squeal. Among the already studied
parameters, the variability of the topography of contact surfaces seems
to be the most sensitive parameter. To tend to a robust design, it is
essential to integrate the spatial uncertainty during the design step of
the brake components.
The objective of this multidisciplinary thesis project is to develop a
topology optimization strategy under topographical uncertainty for
dynamic stability problems.
References of supervisor staff:
Talbi E-G. Metaheuristics: from design to implementation, Wiley, 2009.
Tison T., Heussaff A., Massa F., Turpin I., Nunes R. Improvement in the
predictivity of squeal simulations: uncertainty and robustness. Journal
of sound and vibration, 333(15), pp. 3394-3412, 2014.
Renault A., Massa F., Lallemand B., Tison T. Experimental investigations
for uncertainty quantification in brake squeal analysis. Journal of
Sound and Vibration, 367, pp. 37-55, 2016.
Talbi E-G. Hybrid metaheuristics, Springer, 2016.
Do H., Massa F., Tison T., Lallemand B. A global strategy for the
stability analysis of friction induced vibration problem with parameter
variations. Mechanical Systems and Signal Processing, 84 part A, pp.
Funding: 1768,55 €/month gross salary during 3 years – Best start:
Applicant profile: Candidates are required to have a degree in applied
mathematics, computer science or mechanical engineering. Prior knowledge
in optimization, uncertainty modelling and experience in developing
scientific codes (Matlab, R, …) will be appreciated.
Candidature: Please send a one PDF file composed of:
- A CV (including your background and contribution in the topics of
- Two last year’s Master or Engineering school transcripts and class
- 2 recommendations letters
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27-31 Oct 2018, Marrakech, Morocco
Prof. El-ghazali TALBI
Polytech'Lille, University Lille - INRIA - CNRS