Vibration Analysis of Structures, 6 credits

Strukturdynamik, 6 hp

TMME40

Main field of study

Mechanical Engineering

Course level

Second cycle

Course type

Programme course

Examiner

Jonas Stålhand

Director of studies or equivalent

Peter Schmidt

Education components

Preliminary scheduled hours: 50 h
Recommended self-study hours: 110 h

Available for exchange students

Yes
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6MAER Aeronautical Engineering, Master's Programme 3 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Chinese (Specialization Mechanical Engineering) 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - French (Specialization Mechanical Engineering) 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - German (Specialization Mechanical Engineering) 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Japanese (Specialization Mechanical Engineering) 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish 9 (Autumn 2018) 1 3 English Linköping E
6CIEI Industrial Engineering and Management - International, M Sc in Engineering - Spanish (Specialization Mechanical Engineering) 9 (Autumn 2018) 1 3 English Linköping E
6CIII Industrial Engineering and Management, M Sc in Engineering 9 (Autumn 2018) 1 3 English Linköping E
6CIII Industrial Engineering and Management, M Sc in Engineering (Specialization Mechanical Engineering) 9 (Autumn 2018) 1 3 English Linköping E
6CMMM Mechanical Engineering, M Sc in Engineering 7 (Autumn 2018) 1 3 English Linköping E
6CMMM Mechanical Engineering, M Sc in Engineering (Aeronautical Engineering) 7 (Autumn 2018) 1 3 English Linköping E
6MMEC Mechanical Engineering, Master's Programme 3 (Autumn 2018) 1 3 English Linköping E
6MMEC Mechanical Engineering, Master's Programme (Applied Mechanics) 3 (Autumn 2018) 1 3 English Linköping E

Main field of study

Mechanical Engineering

Course level

Second cycle

Advancement level

A1X

Course offered for

  • Aeronautical Engineering, Master's Programme
  • Mechanical Engineering, M Sc in Engineering
  • Industrial Engineering and Management - International, M Sc in Engineering
  • Industrial Engineering and Management, 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

Mechanics, as well as basic courses in mathematics, mechanics of materials and structural engineering.

Intended learning outcomes

The objective of the course is to familiarize the student with fundamental laws in mechanics of vibration, and to give the student the proficiency needed to independently apply these laws to vibration problems. After completed the course, the student is able to:

  • model simple and more complex mechanical systems;
  • understand definitions and fundamental concepts used in mechanics of vibrations, e.g. velocity, acceleration, energy, frequency, period and damping factor;
  • use modal analysis, solve eigenvalue problems and determine frequencies and eigenmodes for different structural elements;
  • use Lagrange’s equations to derive the governing equations for a vibrating system;
  • solve the governing equations analytically and numerically;
  • perform simpler analyses for stability of non-linear systems;
  • derive simpler theorems used within mechanics of vibration.

Course content

Modelling of vibrating systems. Derivation of the governing equations using Newton’s laws and Lagrange’s equations for linear systems. Systems with one or multiple degrees of freedom. Analytical solution of free and damped oscillations including harmonic and general forcing. Methods for determining eigenfrequencies. Modal analysis. Discrete and continuous systems. Approximation methods and finite elements.

Teaching and working methods

The teaching comprises lectures, tutorials and computer laborations.

Examination

UPG2Hand-in exercises6 creditsU, 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

Jonas Stålhand

Course website and other links

Education components

Preliminary scheduled hours: 50 h
Recommended self-study hours: 110 h

Course literature

Books

  • Inman, J.D., Engineering Vibrations 4
Code Name Scope Grading scale
UPG2 Hand-in exercises 6 credits U, 3, 4, 5

Books

Inman, J.D., Engineering Vibrations 4

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
X
Linear Algebra, Calculus
1.2 Fundamental engineering knowledge (G1X level)
X
X
Solid Mechanics
1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)

                            
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
UPG2
Problem formulation, modelling and problem solving
2.2 Experimentation, investigation, and knowledge discovery

                            
2.3 System thinking

                            
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
UPG2
Written report
3.3 Communication in foreign languages
X
English
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

                            

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. Click on a file to download and open it.