| TMMS20 | Structural Optimization, 6 ECTS credits. /Strukturoptimering/ |
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Prel. scheduled
hours: 48 |
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Area of Education: Technlogy Subject area: Mechanical Engineering |
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| Advancement level
(A-D): D
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| Aim: In structural optimization the interest is to study the problem to find the best 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 for mathematical models for obtaining maximum efficient load-carrying structures and skill in using or implementing the corresponding computer based tools. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) The finite element method and basic and advanced courses in solid mechanics. The courses Linear and Nonlinear Optimization and preferably Models of Mechanics. 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. |
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| Organisation: Lectures, lessons and computer exercises. |
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| Course contents: Repetition of optimzation 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. Strucures 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: (Elastostatikens energiprinciper, Klarbring) A Brief Introduction to Structural Optimization, Klarbring and Christensen. Shape Optimization with TRINITAS. Christensen. Lecture notes and problem exercises will be handed out. |
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| Examination: | |||
| Written examination Laboratory exercise |
3 p 1 p |
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Course language is Swedish. Department offering the course: IKP. Director of Studies: Examiner: Anders Klarbring Course Syllabus in Swedish |
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