Optimization of structures

None

•  Acquire the theoretical bases necessary for the formulation of an optimization problem in structural mechanics
•  Know and know how to implement the main classes of design problems
  -- through simple and academic examples;
  -- through a number of industrial applications by learning a professional optimization software (OptiStruct).
•  Discover the methods being developed in the field of optimization

•  Issues in structure optimization
•  The main classes of problems
•  Introduction to the basic theoretical notions of differentiable optimization in finite dimension and to the algorithmic principles of numerical optimization
•  Introduction to optimal control
•  Parametric optimization
•  Geometric optimization
•  Topological optimization (SIMP, homogenization, penalization)
•  Handling and parameterization of an industrial code (OptiStruct)
•  Other methods (level lines, genetic algorithms...) and new trends

•  Know how to formulate an optimization problem
•  Know how to choose and implement the appropriate algorithm
•  Know how to use and parameterize a calculation software for an optimization
•  Know how to analyze and criticize the results of the calculation

•  CC1: MCQ (33%)
•  CC2: Report on FreeFEM practical work (33%)
•  CC3: Report on OptiStruct practical work (34%)

Course materials in PDF

Jean-Marie Rossi