This course focuses on theoretical and practical aspects of numerical methods utilized in the solution of structural optimization with emphasis on topology optimization problems. This course presents fundamental aspects of finite element analysis and mathematical programming methods with applications on discrete and continuum topology optimization problems. Applications include designing lightweight structures, compliant mechanisms, heat transfer, and energy harvesting systems. The course content will be applicable to design of a broad range of engineering systems as well as material design.

The purpose of this course is to provide the basis of the mathematical models and
numerical algorithms for optimal structure design. In particular, we shall study the
optimisation of structures' shapes in order, for example, to minimize their weight under
minimal mechanical constraints. The course will be illustrated with the use of structure
optimisation software. Students will understand the complexity behind finite elementbased
design optimization methods and develop programming skills to apply this
knowledge to the solution of structural engineering design problems.

No single textbook. Readings will be assigned at the end of a lecture. Selected
articles will be handed out and/or posted electronically throughout the semester.
References:
Christensen, P.W. and A. Klarbring, An Introduction to Structural Optimization, Springer,
2009
Bendsoe, M.P.and Sigmund, O., Topology Optimization - Theory, Methods and
Applications , 2nd ed. 2003, ISBN: 978-3-540-42992-0
Papalambros, Panos Y., and Douglass J. Wilde. Principles of Optimal Design – Modeling and
Computation. 2nd ed. Cambridge, UK: Cambridge University Press, 2000. ISBN: 0521627273.
(Paperback)
Haftka R. T., and Gurdal, Z. Elements of Structural Optimization 3rd ed., Kluwer Academic
Publishers, 1992

Powerpoint/pdf slides, readings from reference books and papers, MATLAB code and FEA based TO software such as COMSOL, ANSYS or similar.