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Mechanical Vibrations

This is the study programme for 2020/2021.

The course will introduce the analysis and mitigation of vibrations, with applications in civil and mechanical engineering.

Learning outcome

The course shall give an introduction to analysis and control of vibrations in mechanical systems and civil engineering structures. Upon completing the course, the student shall:
  • be familiar with the basic concepts in the dynamic analysis of structures
  • be able to establish equation(s) of motion for a single or multi degree of freedom system
  • be able to calculate the undamped eigen-frequencies and mode-shapes
  • understand and be able to establish various models for damping in structures
  • be able to calculate free vibration response of an undamped or damped system
  • be able to calculate response of an undamped and damped system due to harmonic load
  • be able to calculate response to a general load history by using impulse-response method
  • be familiar with the numeric integration methods in vibration analysis.


Free vibrations of a single degree of freedom system. Damping models. Vibrations due to harmonic and general excitation. Mechanical transfer function, frequency response function, impulse response function. Response spectrum. Step-by-step integration, Newmark's method. Multi-degree of freedom systems. Matrix formulation. Eigenfrequencies and mode shapes. Modal analysis. Numerical integration methods in vibration analysis.

Required prerequisite knowledge

BYG140 Structural Mechanics 1


Weight Duration Marks Aid
Written exam1/14 hoursA - FBasic calculator specified in general exam regulations.

Coursework requirements

Assigments, 7 of 9 have to be approved before one can take the exam
9 assignments, 7 of which have to be approved in order to take the written exam.

Course teacher(s)

Course coordinator
Jasna Bogunovic Jakobsen
Course teacher
Terje Leenhart Andersen
Head of Department
Tor Henning Hemmingsen

Method of work

On average 5 lectures and 1 tutorial per week. Compulsory assignments. Laboratory exercises.

Overlapping courses

Course Reduction (SP)
Mechanical Vibrations (MOM140_1) 5

Open to

Engineering Structures and Materials - Master's Degree Programme

Course assessment

By form and/or by discussions in class in accordance with university regulations.


Link to reading list

This is the study programme for 2020/2021.

Sist oppdatert: 22.10.2020