| TMMS20 |
Structural Optimization, 6 ECTS credits.
/Strukturoptimering/
For:
I
Ii
M
MEC
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Prel. scheduled
hours: 48
Rec. self-study hours: 112
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Area of Education: Technology
Main field of studies: Mechanical Engineering
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Advancement level
(G1, G2, A): A
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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 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.
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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.
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Supplementary courses:
Project course in Mechanical Engineering Systems, Solid Mechanics and Machine Design.
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Organisation:
Lectures, lessons and computer exercises.
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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.
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Course literature:
P.W. Christensen and A. Klarbring, An Introduction to Structural Optimization, Springer Science, 2009.
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Examination: |
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Written examination
Laboratory exercise
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4,5 ECTS
1,5 ECTS
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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
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