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Vibrations and Fatigue in Mechanical Structures, 6 credits

Mekaniska svängningar och utmattning, 6 hp

TMMI09

Course starting semester

Main field of study

Mechanical Engineering

Course level

First cycle

Course type

Programme course

Examiner

Robert Eriksson

Director of studies or equivalent

Peter Schmidt

Education components

Preliminary scheduled hours: 48 h
Recommended self-study hours: 112 h

Available for exchange students

Yes

Possible deviation from course syllabus/programme syllabus

ECV = Elective / Compulsory / Voluntary

Course offered for		Semester	Period	Timetable module	Language	Campus	ECV
6IMAS	Mechanical Engineering, B Sc in Engineering	5 (Autumn 2017)	2	3	Swedish/English	Linköping, Valla	E
6IMAS	Mechanical Engineering, B Sc in Engineering (Design Enginnering)	5 (Autumn 2017)	2	3	Swedish/English	Linköping, Valla	C

Main field of study

Mechanical Engineering

Course level

First cycle

Advancement level

G2X

Course offered for

Mechanical Engineering, B Sc in Engineering

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 Mathematics (Analysis), Mechanics, and Solid Mechanics

Intended learning outcomes

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.

Course content

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.

Teaching and working methods

Lectures, tutorials, laboratory work, and problem solving.

Examination

UPG1	Laboratory work and home assignments	1.5 credits	U, G
TEN1	A Written Examination	4.5 credits	U, 3, 4, 5

Grades

Four-grade scale, LiU, U, 3, 4, 5

Department

Institutionen för ekonomisk och industriell utveckling

Director of Studies or equivalent

Peter Schmidt

Examiner

Robert Eriksson

Course website and other links

Education components

Preliminary scheduled hours: 48 h
Recommended self-study hours: 112 h

Course literature

Additional literature

Books

Dahlberg, T, (2001) Teknisk hållfasthetslära, med tillhörande formelsamling
ISBN: 91-44-01920-3

Compendia

Dahlberg, T, Material fatigue, Kompendium

Code	Name	Scope	Grading scale
UPG1	Laboratory work and home assignments	1.5 credits	U, G
TEN1	A 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.

Student rights and obligations (login required)
Linköping University common rules and regulations (in Swedish)

Additional literature

Books

Dahlberg, T, (2001) Teknisk hållfasthetslära, med tillhörande formelsamling

ISBN: 91-44-01920-3

Compendia

Dahlberg, T, Material fatigue, Kompendium

Download

Download course literature list as PDF

Note: The course matrix might contain more information in Swedish.

I = Introduce, U = Teach, A = Utilize

		U	A	Modules
1. DISCIPLINARY KNOWLEDGE AND REASONING
	1.1 Knowledge of underlying mathematics and science (G1X level)	X	X	TEN1
	1.2 Fundamental engineering knowledge (G1X level)	X	X	TEN1
	1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)	X	X	TEN1
	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	X	TEN1 UPG1
	2.2 Experimentation, investigation, and knowledge discovery		X	UPG1
	2.3 System thinking
	2.4 Attitudes, thought, and learning
	2.5 Ethics, equity, and other responsibilities	X	X	TEN1 UPG1
3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
	3.1 Teamwork		X	UPG1
	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
	4.4 Designing
	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

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