Goals

The behavior of real structures often exceeds the basic mechanics framework for various reasons. The non-deterministic nature of the structures, the presence of nonlinearities are taken into account to better understand the behavior of these structures in real cases operating in engineering. We propose here to give tools and address the conventional methods of engineering for introducing randomness and non-linearities in the systems, and to describe and more realistically the behavior of real structures and their optimization. Particular attention will also be paid to the engineer's process of defining a relevant mathematical model with regard to the experimental observations. These tools will be introduced through simple but significant examples. They will be borrowed from the industrial environment.

Programme

  1. Introduction
  2. Instability
  3. Nonlinear behavior and methodology
  4. Dispersions
  5. Structural optimization

Sustainable development

Level 1: Activity contextualised through environmentally sustainable development and social responsibility and/or supported by examples, exercises, applications.

DD&RS level 1

Activity contextualised through environmentally sustainable development and social responsibility and/or supported by examples, exercises, applications.

Programme elements related to sustainable development goals

Themes covered through industrial applications (in class and tutorials) on the advanced design of complex mechanical systems with a view to reducing fuel consumption and environmental noise. Taking into account uncertainties during sizing makes it possible to increase the lifespan of products, their robustness with respect to production and use hazards, and thus their durability.

Assessment method

Final mark = 30% Knowledge + 70% Know-how Knowledge = 100% final exam Know-how = 100% continuous assessment

Bibliography

  • A.H. Nayfeh and D.T. Mook, Nonlinear Oscillations, John Wiley & Sons, 1979.0
  • A. Preumont, Vibrations aléatoires et analyse spectrale, Presses Polytechniques Romandes, 1990.0
  • D.-J. Ewins, Modal Testing: Theory, Practice and Application, Study Press,, 1984.0
Course
4h
 
TC
24h
 

Code

24_I_G_S09_MOS_05_4

Responsibles

  • Olivier DESSOMBZ
  • Jean-Jacques SINOU

Language

French

Keywords

Solid Mechanics, Structural Dynamics Engineering of complex systems, Uncertainty, Optimization, Stability, Nonlinear Systems