| TMMI09 |
Vibrations and Fatigue in Mechanical Structures, 6 ECTS credits.
/Mekaniska svängningar och utmattning/
For:
MI
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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): G2
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Aim:
Many failures in mechanical structures are caused by material fatigue. Fatigue may appear when a structure is loaded by a cyclic load, and in many cases this load may come from resonance vibrations of the structure. Thus, knowledge of the vibrational behaviour of mechanical systems is a prerequisite in understanding the fatigue phenomenon. The course Vibrations and Fatigue in Mechanical Structures will provide understanding and knowledge about these phenomena. After the course, the student should be familiar with the following items that are dealt with in the course:
the physical behaviour of vibrating mechanical systems,
theories used when analysing practical vibrational problems,
influence of different structural parameters on the vibrational behaviour of structures, material fatigue phenomena, and
theories used when analysing fatigue problems.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Basic courses in Mathematics (Analysis), Mechanics, and Solid 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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Organisation:
Lectures, tutorials, laboratory work, and problem solving.
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Course contents:
On vibrations: Fundamental relationships describing the behaviour of vibrating mechanical systems. Equations of motion for vibrating systems. Influence of mass, stiffness, and damping. Resonances and its consequences for the mechanical system. Vibrations of discrete systems and continuous systems.
On fatigue: Fundamental relationships describing the fatigue phenomenon. High-cycle fatigue and low-cycle fatigue. The Wöhler diagram and the Haigh diagram. Safety factors. Damage accumulation, the Palmgren-Miner rule. Load spectra. The Ramberg-Osgood material model. Fatigue life models according to Morrow and Coffin-Manson. Influence of stress concentration.
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Course literature:
Dahlberg, T.: Teknisk hållfasthetslära with Supplement, Studentlitteratur 2001, ISBN 91-44-01920-3 (or corresponding in English)
Dahlberg, T.: Material fatigue, Kompendium, Linköpings universitet, LiTH-IKP-S-459
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Examination: |
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Written examination
Laboratory work and home assignments
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4,5 ECTS
1,5 ECTS
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Course language is Swedish/English.
Department offering the course: IEI.
Director of Studies: Peter Schmidt
Examiner: Robert Eriksson
Link to the course homepage at the department
Course Syllabus in Swedish
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