JCJC - Jeunes chercheuses & jeunes chercheurs

Dynamique Robuste des Systèmes Mécaniques Non-Linéaires – DyRoSyMéNo

Submission summary

The incorporation of nonlinear phenomena and uncertainties in complex mechanical systems presently gives rise to major problems during the design and construction of industrial structures and buildings. It is clear that optimizing mechanical structures with respect to their vibrational behavior requires a detailed understanding of the structures along with a highly-refined model. Including the set of nonlinear elements that play a predominant role in the dynamic behavior of structures, in addition to elements that contribute uncertainty, proves essential not only to studying the dynamic behavior of systems, but also to devising robust and reliable system designs able to withstand the range of loadings and stresses potentially applied. Handling the problem of accommodating uncertainty or nonlinear effects on industrial structures has necessitated introducing both complex and varied theoretical developments. The more conventional methods for computing responses qualified as nonlinear or containing uncertainties (e.g. time integration, Monte Carlo simulation) would not be plausible on complex structures due to the sizable computation times and memory requirements. Experience has shown that although research into the nonlinear dynamic behavior of structures and the inclusion of dispersion in mechanical systems constitute two distinct subjects often treated separately, the study of nonlinear dynamic behavior in systems containing uncertainties is not straightforward and, as such, has been heavily marginalized. The introduction of robust and reliable nonlinear methods that offer considerable reductions in computation time while guaranteeing a high-quality estimation of the nonlinear dynamic behavior of uncertain systems is still a wide open topic. One of the critical scientific challenges in the near future is thus to develop theoretical tools for application to complex structures, in the aim of predicting the dynamic behavior of nonlinear structures by incorporating uncertainties and optimizing such systems from a dynamic behavior perspective by means of proposing robust and reliable designs. To achieve these objectives, the project will be broken down into 5 primary action components: Action 1: Optimization and robust design of structures with the inclusion of uncertainties by implementing polynomial chaos and interval analysis Action 2: Nonlinear structural analysis through introducing nonlinear methods and nonlinear modal synthesis Action 3: Optimization of nonlinear dynamic systems containing uncertainties with condensation and nonlinear modal synthesis Action 4: Incorporation of uncertainties into the stability analysis of nonlinear structures Action 5: Comparisons and validation of the methods and tools developed by assessing their application potential on actual structures. Given the research topics pursued by the group of young researchers participating in this project on dynamics problems and nonlinear methods, on the assimilation of uncertainties and associated methods and on optimizing system vibrational behavior, the capacity to meet these challenges and treat these key scientific issues constitutes a fundamental objective for the group in continuing to sharpen its skills and earn national and international renown in these topic areas.

Project coordination

Jean Jacques SINOU (Autre établissement d’enseignement supérieur)

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.


Help of the ANR 142,000 euros
Beginning and duration of the scientific project: - 48 Months

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