 | | |
| MECA0027-1 | Structure Optimization
|
|
| Duration : | 30h Th, 30h Pr |
|
| Number of credits : |
|
|
| Lecturer : | Pierre Duysinx, Patricia Tossings |
|
Language(s) of instruction :
|
| French language |
|
Course contents :
|
| The primary objective of the course is to present a critical overview of the various numerical methods available to solve optimization problems. A second important goal is to familiarize participants with the introduction of optimization concepts into the design process. The basic concepts are illustrated throughout the course by solving simple optimization problems. In addition, several examples of application to real-life design problems are offered to demonstrate the high level of efficiency attained in modern numerical optimization methods. Although most examples are taken in the field of structural optimization, using finite element modeling and analysis, the same principles and methods can be easily applied to other design problems arising in various engineering disciplines.
Content
1. Historical Overview and Fundamental Concepts
2. Mathematical Bases: Nonlinear Programming
3. Optimality Criteria Techniques
4. Introduction to Mathematical Programming Methods
5. Linearly Constrained Minimization
6. General Nonlinear Programming Methods
7. Approximation Concepts
8. Sensitivity Analysis for Finite Element Models
9. Shape Optimal Design using Geometric CAD modelling
10. Large Scale Topology Optimization
11. Applications to real-life design problems |
|
Learning outcomes of the course :
|
| At the end of the course the participants will be familiar with the fundamental optimization concepts applied to automatic design process.
They will be able to develop solution schemes to simple engineering optimization problems or to choose efficient formulations and optimization algorithms to solve their own problems using commercial tools. |
|
Prerequisites and co-requisites/ Recommended optional programme components :
|
|
- Functional analysis of real functions
- Matrix algebra
- Matlab programming (basic level)
|
|
Planned learning activities and teaching methods :
|
| Exercises (15H)
Computer project (2 students/group) |
|
Mode of delivery (face-to-face ; distance-learning) :
|
| Live presentation |
|
Recommended or required readings :
|
| Copy of slides available on line
Notes by Prof. Fleury edited by La CEntrale des Cours:
Optimisation des Structures: Théorie
Optimisation des Structures: Exercices
All the class notes are in English
Reference books (not mandatory)
- Programmation mathémtique: théorie et algorithmes (Tome 1). M. Minoux. Dunod, Paris, 1983.
- Foundations of Structural Optimization: A Unified Approach. A.J. Morris. John Wiley & Sons Ltd, 1982
- Haftka, R.T. and Gürdal, Z., Elements of Structural Optimization, 3rd edition, Springer, 1992
|
|
Assessment methods and criteria :
|
| Oral exam in June.
- Theory (40%): Two questions with preparation with the books open (max 20 minutes) + open short questions
- Exercices: written exercise (30%) with the books
- Computer work (30%): Report evaluation and its oral presentation
|
|
Organizational remarks :
|
| The lectures are given at fall semester (September 15 - December 15). Exam in June. |
|
Contacts :
|
| Pierre Duysinx
LTAS-Automotive Engineering
Institute de Mécanique B52 0/414
Tel 04 366 9194
Email: P.Duysinx@ulg.ac.be
Patricia TOSSINGS
Mathématiques Générales
Institut de Mathématique B37 0/57
Tél: 04 366 9373
Email. Patricia.Tossings@ulg.ac.be
(c.fleury@ulg.ac.be) |
|
|
| Items online : |
|
| Lecture available on the web |
| The lecture notes are available on line on the web site of Automotive Engineering Labs. |
|
|
