(Created 2009-08-11.)

STRUCTURAL OPTIMIZATION | FHLN01 |

**Aim**

In stuctural optimization the problem of finding the 'optimal' design is considered. The term 'optimal' design can apply to various aspects and the common features are minimum weight or maximum stiffness of a structure. The course is aimed to give the student knowledge and fundamental understanding of modern tools that are commercially available.

*Knowledge and understanding*

For a passing grade the student must

- be able to explain and understand goal function, constraints, global and local minima
- be able to explain and understand the underlying optimization algorithms used in structural optimization
- be able to explain and identify the causes for numerical instabilities associated with numerical topology optimization

*Skills and abilities*

For a passing grade the student must

- be able to formulate a mathematical optimization problem from engineering structural optimization problems.
- be able to describe numerical solution strategies suitable for structural optimization.

*Judgement and approach*

For a passing grade the student must

- be able to solve simple discrete structural optimization problems analytically
- be able to solve simple continual stiffness optimization problems using variational principles.
- implement simple optimization algorithms in a finite element environment

**Contents**

The following topics will be considered in the course

- Formulation of optimization problems, goal functions, constraints, global/local optima.
- Convex optimization
- Convex approximation techniques for structural optimization problems
- size and shape optimization
- topology optimization
- filter

**Literature**

An introduction to structural optimization,

Christensen, P and Klarbring, A

Springer-Verlag, 2008

ISBN: 978-1-4020-8665-6

CALFEM - A finite element toolbox to MATLAB. Studentlitteratur.