Study Guide@lith

Linköping Institute of Technology

Valid for year : 2017
TMMS20 Structural Optimization, 6 ECTS credits.

For:   I   Ii   M   MEC  


Prel. scheduled hours: 48
Rec. self-study hours: 112

  Area of Education: Technology

Main field of studies: Mechanical Engineering

  Advancement level (G1, G2, A): A

In structural optimization we study the problem of finding the best mechanical design. The word "best" has to be given a certain meaning, it could be to minimize the structural weight or to maximize the stiffness. The course aims at giving knowledge and understanding of how such maximum efficient load-carrying structures may be obtained, and skill in using the corresponding computer based tools. After the course the students should be able to
  • Formulate engineering design problems for load carrying structures as optimization problems, using both size, shape and topological variables.
  • Solve small-scale discrete problems.
  • Describe numerical algorithms suitable for structural optimization problems.
  • Solve some continuous structural optimization problems using calculus of variations.
  • Use and describe the general steps involved in solving large scale shape and topology optimization problems.

Prerequisites: (valid for students admitted to programmes within which the course is offered)
Basic courses in solid mechanics. Preferably a basic course in optimization.

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.

Supplementary courses:
Project course in Mechanical Engineering Systems, Solid Mechanics and Machine Design.

Lectures, lessons and computer exercises.

Course contents:
Basic concepts. Classification of structural optimization problems. Lagrangian duality. Calculus of variations and energy principles in solid mechanics. Explicit approximations: SLP, SQP, CONLIN, OC, MMA. Sensitivity analysis. Shape optimization. Structures of maximum stiffness and topology optimization. The SIMP-method. Computer exercises on shape and topology optimization will be performed with the FEM program TRINITAS.

Course literature:
P.W. Christensen and A. Klarbring, An Introduction to Structural Optimization, Springer Science, 2009.

Written examination
Laboratory exercise
4,5 ECTS
1,5 ECTS

Course language is English.
Department offering the course: IEI.
Director of Studies: Peter Schmidt
Examiner: Anders Klarbring
Link to the course homepage at the department

Course Syllabus in Swedish

Linköping Institute of Technology


Contact: TFK ,
Last updated: 01/25/2017