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Optimisation robusteMéthodes numériques et expérimentales (GSI)

FISE GSI Semester 9 Common Core Machine translation

Robust Optimization

Teaching unit Numerical and Experimental Methods · GI.S9.IMC.MNE
Course on Celene
8ECTS (EU)
1Coefficient
20:00Hours

Séquencement

C TD C TD C TD C TD C TD C TD C TD C TD C TD TD TD TD TD

Learning objectives

  • Know the principles of the different methods of optimisation existing
  • Know the principles of topological optimization methods applied to mechanical structures
  • To be able to conduct a study to optimize the geometry of a mechanical structure

Prerequisites

ModuleTeaching unitSemester
Continuum MechanicsMechanical Engineering 1S5
Finite Elements - Structural AnalysisMechanical Engineering 3S7
Structural VibrationsMechanical Engineering 3S7

Program

  1. Basic concepts in optimization

  2. Problems of optimization in structural mechanics Optimization of dimensioning, shape, topological and materials

  3. General optimisation methods

  • Optimality criteria
  • Mathematical programming methods without gradient Monte-Carlo, Genetic algorithm, Response surfaces
  • Mathematical programming methods based on gradient Newton method and its variants
  • Convex sequential programming methods

  1. Applications of optimisation methods to mechanical structures

  2. Topological optimisation of a mechanical structure with resistance and mass gain objectives under constraints in terms of specific frequencies from a business software

Assessment

Project to be carried out on dedicated software

References

  • El Hami and Radi, System Reliability and Optimization: Theory and Applications Corrected Courses and Exercises, Ellipses
  • El Hami and Radi, Uncertainties, Optimization and Reliability of Structures, Hermes-Lavoisier
  • Mr. Bruyneel, JC Craveuret P. Gourmelen, Optimization of Mechanical Structures – Digital Methods and Finished Elements, Dunod Technical Collection and Engineer

Skills

4
Ref.VerbDescriptionLevel
C1_2recognizeKnowledge of basic concepts in optimization1
C1_2recognizeKnow the various problems of optimization in mechanical structures1
C1_2recognizeKnow general methods of optimisation1
C3_1designImplement a method of topological optimisation under stress of a mechanical structure from a business software with a critical analysis of the solutions obtained3