Vibration Analysis of Structures, 6 credits
Strukturdynamik, 6 hp
TUU010
Main field of study
Mechanical EngineeringCourse level
Second cycleCourse type
Contract courseExaminer
Jonas StålhandDirector of studies or equivalent
Peter SchmidtEducation components
Preliminary scheduled hours: 0 hRecommended self-study hours: 160 h
| Course offered for | Semester | Period | Timetable module | Language | Campus | ECV | |
|---|---|---|---|---|---|---|---|
| Single subject course (Full-time, Day-time) | Autumn 2026 | 1 | 3 | English | Linköping, Valla | ||
Main field of study
Mechanical EngineeringCourse level
Second cycleAdvancement level
A1NPrerequisites
Statics, dynamics, linear algebra, single and multivariable calculus, strength of materials, machine elements, and control engineering.
Intended learning outcomes
The objective of the course is to familiarise the student with fundamental laws, relationships, and methods within structural dynamics, and to develop the skills to independently apply these to realistic structural dynamics problems. Upon completion of the course, the student will be able to:
- understand and use definitions and fundamental concepts within the subject;
- model more complex structural dynamics systems;
- solve structural dynamics problems using appropriate methods; and
- analyse more complex vibration problems.
Course content
Modelling of structural vibrations for single or in multi-degrees of freedom systems; lumped models; damped and undamped vibrations; free and forced vibrations; nonlinear vibrations; stability; modal analysis; expansion theorem; egenfrequency and eigenvector; Lagrange's equations of motion; vibration analysis using the finite element method; transient analysis; and model-order reduction. Individual topics may be added or omitted as required.
Teaching and working methods
Teaching is delivered through lectures, tutorials, and computer-based laboratory sessions. The theory and methods of the subject are presented during the lectures and subsequently reinforced in tutorials, where students solve idealised problems independently. The computer sessions are designed to provide in-depth knowledge and train students to handle more complex problems.
Examination
| UPG3 | Hand-in assignments | 4 credits | U, 3, 4, 5 |
| DAT1 | Computer-based examination | 2 credits | U, 3, 4, 5 |
Grades
Four-grade scale, LiU, U, 3, 4, 5Other information
Commissioned education is a form of education governed by the regulation on commissioned assignment at universities (SFS 2002:760).
Planning and implementation of a course must take its starting point in the wording of the syllabus. The course evaluation included in each course must therefore take up the question how well the course agrees with the syllabus.
The course is conducted in such a way that there are equal opportunities with regard to sex, transgender identity or expression, ethnicity, religion or other belief, disability, sexual orientation and age.
If special circumstances prevail, the vice-chancellor may in a special decision specify the preconditions for temporary deviations from this course syllabus, and delegate the right to take such decisions.
Department
Institutionen för ekonomisk och industriell utveckling| Code | Name | Scope | Grading scale |
|---|---|---|---|
| UPG3 | Hand-in assignments | 4 credits | U, 3, 4, 5 |
| DAT1 | Computer-based examination | 2 credits | U, 3, 4, 5 |
Note: The course matrix might contain more information in Swedish.
| I | U | A | Modules | Comment | ||
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| 1. DISCIPLINARY KNOWLEDGE AND REASONING | ||||||
| 1.1 Knowledge of underlying mathematics and science (courses on G1X-level) |
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| 1.2 Fundamental engineering knowledge (courses on G1X-level) |
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| 1.3 Further knowledge, methods and tools in any of : mathematics, natural sciences, engineering (courses at G2X level) |
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| 1.4 Advanced knowledge, methods and tools in any of: mathematics, natural sciences, engineering (courses at A1X level) |
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| 1.5 Insight into current research and development work |
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| 2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES | ||||||
| 2.1 Analytical reasoning and problem solving |
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| 2.2 Experimentation, investigation, and knowledge discovery |
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| 2.3 System thinking |
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| 2.4 Attitudes, thought, and learning |
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| 2.5 Ethics, equity, and other responsibilities |
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| 3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION | ||||||
| 3.1 Teamwork |
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| 3.2 Communications |
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| 3.3 Communication in foreign languages |
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| 4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT | ||||||
| 4.1 Societal conditions, including economically, socially and ecologically sustainable development |
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| 4.2 Enterprise and business context |
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| 4.3 Conceiving, system engineering and management |
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| 4.4 Designing |
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| 4.5 Implementing |
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| 4.6 Operating |
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| 5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS | ||||||
| 5.1 Societal conditions, including economically, socially and ecologically sustainable development within research or development projects |
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| 5.2 Economic conditions for research or development projects |
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| 5.3 Identification of needs, structuring and planning of research or development projects |
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| 5.4 Execution of research or development projects |
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| 5.5 Presentation and evaluation of research or development projects |
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