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Mechanical Vibrations 7.5 credits

First cycle, M0015T
Course syllabus valid: Autumn 2021 Sp 1 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

Education level
First cycle
Grade scale
G U 3 4 5
Mechanical Engineering
Subject group (SCB)
Mechanical Engineering

Entry requirements

In order to meet the general entry requirements for first cycle studies you must have successfully completed upper secondary education and documented skills in English language and ordinary differential equations. linear algebra. Good knowledge in English, equivalent to English 6.

More information about English language requirements


The selection is based on 1-165 credits.

Course Aim
After passed course, the student shall be able to;

1. Knowledge and Understanding

  • describe basic principles of mechanical vibrations and their properties
  • explain the background and origin of equations of motion for simpler dynamic systems.
  • explain the cause of vibrations in single-degree, multi-degree and continuous systems.

2. Skills and Abilities

  • create and apply simpler models of single degree of freedom, multi-degree of freedom and continuous systems.
  • use Matlab as a tool for dynamic calculations and be able to write simpler programs.
  • develop programs for simulation of simple dynamic systems.
  • design simpler dynamic systems to avoid breakdowns or minimize vibrations.

3. Judgement and Approach

  • evaluate the reasonableness of analytical and numerical results.
  • critically evaluate results from simpler dynamic analyses.

The course deals with the basics of mechanical vibrations where the student should be able to develop and analyze simpler models of real problems. The course deals with basic machine dynamics such as
  • single degree of freedom system (SDOF)
  • multi degree of freedom system (MDOF)
  • Lagrange equation
  • vibration isolation and measurement technology
  • dynamic simulation
  • and continuous systems.

Each course occasion´s language and form is stated and appear on the course page on Luleå University of Technology's website.
The course is conducted through lectures where important elements of the course are highlighted and explained. Lessons in the form of some theory review and exercises that complement the lectures. Computer exercises give you the opportunity to create models yourself and simulate problems that an engineer may face.

If there is a decision on special educational support, in accordance with the Guideline Student's rights and obligations at Luleå University of Technology, an adapted or alternative form of examination can be provided.

To obtain a final grade in the course, approved computer exercises and passed on the written exam are required. The grading of the final grade for the course is based on the grade on the written exam.

The course cannot be part of the degree together with the course r M0019T.

Transition terms
The course M0015T is equal to MTM172 and MTM130

Jan-Olov Aidanpää

Transition terms
The course M0015T is equal to MTM172

Literature. Valid from Autumn 2014 Sp 1 (May change until 10 weeks before course start)
D J Inman, Engineering Vibration, Prentice Hall 1994.
Formulas in Mechanical Vibration (collection of formulas)

Course offered by
Department of Engineering Sciences and Mathematics

CodeDescriptionGrade scaleCrStatusFrom periodTitle
0003Written examG U 3 4 56.00MandatoryA21
0004Computer exercisesU G#1.50MandatoryA21

Study guidance
Study guidance for the course is to be found in our learning platform Canvas before the course starts. Students applying for single subject courses get more information in the Welcome letter. You will find the learning platform via My LTU.

Syllabus established
by Applied Physics and Mechanical Engineering 28 Feb 2007

Last revised
by Head Faculty Programme Director Niklas Lehto 17 Feb 2021