Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)
Structural Optimization, 6 credits
Strukturoptimering, 6 hp
TMMS20
Main field of study
Mechanical EngineeringCourse level
Second cycleCourse type
Programme courseExaminer
Anders KlarbringDirector of studies or equivalent
Peter SchmidtEducation components
Preliminary scheduled hours: 48 hRecommended self-study hours: 112 h
Available for exchange students
YesECV = Elective / Compulsory / Voluntary
Main field of study
Mechanical EngineeringCourse level
Second cycleAdvancement level
A1XCourse offered for
- Industrial Engineering and Management - International, M Sc in Engineering
- Industrial Engineering and Management, M Sc in Engineering
- Mechanical Engineering, M Sc in Engineering
- Mechanical Engineering, Master's programme
Entry requirements
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.
Prerequisites
Basic courses in solid mechanics. Preferably a basic course in optimization.Intended learning outcomes
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.
Course content
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.
Teaching and working methods
Lectures, lessons and computer exercises.
Examination
| UPG1 | Laboratory Work | 1.5 credits | U, G |
| TEN1 | Written Examination | 4.5 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Other information
Supplementary courses: Project course in Mechanical Engineering Systems, Solid Mechanics and Machine Design.
Department
Institutionen för ekonomisk och industriell utvecklingDirector of Studies or equivalent
Peter SchmidtExaminer
Anders KlarbringCourse website and other links
Education components
Preliminary scheduled hours: 48 hRecommended self-study hours: 112 h
Course literature
Additional literature
Books
- P.W. Christensen and A. Klarbring, (2009) An Introduction to Structural Optimization
| Code | Name | Scope | Grading scale |
|---|---|---|---|
| UPG1 | Laboratory Work | 1.5 credits | U, G |
| TEN1 | Written Examination | 4.5 credits | U, 3, 4, 5 |
Regulations (apply to LiU in its entirety)
The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.
LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva.
Additional literature
Books
P.W. Christensen and A. Klarbring, (2009) An Introduction to Structural Optimization
Note: The course matrix might contain more information in Swedish.
I = Introduce, U = Teach, A = Utilize
| I | U | A | Modules | Comment | ||
|---|---|---|---|---|---|---|
| 1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
| 1.1 Knowledge of underlying mathematics and science (G1X level) |
|
|
X
|
TEN1
UPG1
|
||
| 1.2 Fundamental engineering knowledge (G1X level) |
|
|
X
|
TEN1
UPG1
|
||
| 1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level) |
|
X
|
|
TEN1
UPG1
|
||
| 1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level) |
|
|
|
|||
| 1.5 Insight into current research and development work |
|
|
|
|||
| 2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
| 2.1 Analytical reasoning and problem solving |
|
X
|
|
TEN1
UPG1
|
||
| 2.2 Experimentation, investigation, and knowledge discovery |
|
X
|
|
TEN1
UPG1
|
||
| 2.3 System thinking |
|
X
|
|
TEN1
UPG1
|
||
| 2.4 Attitudes, thought, and learning |
|
|
|
|||
| 2.5 Ethics, equity, and other responsibilities |
|
|
|
|||
| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
|
X
|
|
|||
| 3.2 Communications |
|
X
|
|
|||
| 3.3 Communication in foreign languages |
|
X
|
|
|||
| 4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
| 4.1 External, societal, and environmental context |
|
|
|
|||
| 4.2 Enterprise and business context |
|
|
|
|||
| 4.3 Conceiving, system engineering and management |
|
X
|
|
UPG1
|
||
| 4.4 Designing |
|
X
|
|
UPG1
|
||
| 4.5 Implementing |
|
|
|
|||
| 4.6 Operating |
|
|
|
|||
| 5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS | ||||||
| 5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development |
|
|
|
|||
| 5.2 Economic conditions for knowledge development |
|
|
|
|||
| 5.3 Identification of needs, structuring and planning of research or development projects |
|
|
|
|||
| 5.4 Execution of research or development projects |
|
|
|
|||
| 5.5 Presentation and evaluation of research or development projects |
|
|
|
|||
This tab contains public material from the course room in Lisam. The information published here is not legally binding, such material can be found under the other tabs on this page.
There are no files available for this course.