Applied Mechanics department
Materials, surfaces, processes & structures

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Multi-physical Multi-scale Model Validation and Uncertainty Quantification Background


Digital prototyping is omnipresent in the design of complex mechanical systems and allows the development of decision support tools to reduce testing costs. However, it raises other important questions:

- What credibility is given to simulation results?
- Can the model predict the behaviour of the system in an untested configuration?
- How robust is the design decision against unavoidable modelling errors?

The objective of the V3MQI theme is to answer these questions for mechanical systems with dynamic behaviour with multi-physical interactions.

This theme is part of the "Structures: integration and functionalization" axis of the department.

Goals and Research Areas

The V3MQI theme aims to develop research around V&V (Verification and Validation of Numerical Simulations), quantification of uncertainties and robust design. One of the specificities of this theme is its dual culture of computation and testing, favouring the development of methodologies covering simulations, tests and their interactions. In addition to the random uncertainties resulting from manufacturing tolerances, stresses or measurement noise; a major originality of this theme lies in the consideration of model misunderstandings and their impact on the performance of the systems studied. The misunderstanding can relate to various aspects of a model: material behaviour laws, probability distribution parameters, interfaces between sub-assemblies, errors in the shape of the model, compensation effects between identified parameters, etc.


- Implementation of the V&V process on complex mechanical systems
- Robust design in the presence of model misconceptions
- Model resetting in linear and non-linear elastodynamics with deterministic, stochastic, and robust approaches
- Reduction Methods dedicated to multi-physical, periodic, quasi-periodic systems
- Functionalisation of the non-linearity and periodicity of systems and microsystems for the localisation and recovery of Vibratory / Acoustic energy.

iMplementing our work

- Development of business tools for experimental validation, uncertainty quantification, model recalibration, and robust design against model misunderstandings.
- Experimental validation and robust design of ceramic matrix composite blades (SAFRAN)
- Virtual damping for the vibroacoustic design of future launchers, ANR ARIAN 2012-2016 project, in collaboration with AIRBUS SAFRAN Launchers, LMT-Cachan, ECL
- Design of an autonomous vibratory energy recuperator embedded in a container (TRAXENS funded thesis)
- Improving the representativeness and robustness of numerical models in railway dynamics (ALSTOM Transports)
- Validation, calibration and robust design of multi-body systems with non-linear behaviour (Thesis funded by ALSTOM-Le Creusot)
- Quantification and propagation of low and medium frequency uncertainties in linear and non-linear quasi-periodic damped arrays for vibroacoustic applications (collaboration with the D-SMART theme and the ECL, Project H2020, 2 theses engaged)
- Tools to assist in the design of stringed musical instruments taking into account the viscoelastic characteristics of the wood and manufacturing uncertainties.
- Decision indicators to quantify the credibility given to the extrapolation of model predictions outside its validation domain (Collaboration with François HEMEZ, Los Alamos National Laboratory)
- Design and validation of micro-vibration isolation/attenuation models for medical applications (in collaboration with the Nanomedicine, Imaging, Therapeutics laboratory, EA4662, UFC)
- Collective dynamics of non-linear periodic networks (Labex Action funded thesis)
- Broadband vibratory energy recovery based on an array of magnets in magnetic levitation (Labex Action funded project)

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