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Valid for year : 2008
 
TMMS20 Structural Optimization, 6 ECTS credits.
/Strukturoptimering/

For:   COM   ENG   M   MEC  

 

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

  Area of Education: Technlogy

Subject area: Mechanical Engineering
  Advancement level (G1, G2, A): A

Aim:
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 mathematical models for obtaining maximum efficient load-carrying structures and skill in using or implementing the corresponding computer based tools. After the course the students should be able to
  • Formulate engineering design problems for load carrying structures as mathematical optimization problems, using both size, shape and topological variables.
  • Solve small-scale discrete problems analytically.
  • Describe numerical algorithms suitable for structural optimization problems.
  • Solve some continuous structural optimization problems using calculus of variations.
  • Explain and identify numerical instabilities occurring in topology optimization.
  • 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, including the finite element method. 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. Biomechanics. Design Optimization
Organisation:
Lectures, lessons and computer exercises.
Course contents:
Repetition of optimization theory; Lagrangian duality and KKT-conditions. Calculus of variations and energy principles in solid mechanics. Classification of structural optimization problems. Basic concepts. General mathematical formulations. 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:
Klarbring and Christensen, An Introduction to Structural Optimization
Examination:
Written examination
Laboratory exercise
 4,5 ECTS
1,5 ECTS
 


Course language is English.
Department offering the course: IEI.
Director of Studies:
Examiner: Anders Klarbring

Course Syllabus in Swedish

Linköping Institute of Technology
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Contact: TFK , val@tfk.liu.se
Last updated: 09/01/2008