Mechanical Vibrations 7.5 Credits

First cycle, M0015T
Course syllabus valid: Autumn 2017 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.

Syllabus established
by Applied Physics and Mechanical Engineering 28 Feb 2007

Last revised
by Mats Näsström 13 Feb 2017

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

1. The studentKnowledge and Understanding

  • Master the basic principles of mechanical vibrations and their properties
  • Understand equation of motions and their solutions for dynamical problems.
  • Understand simulations and programming of simple dynamical systems.

2. Skills and Abilities

  • Be able to create simple physical models from real world engineering problems that at least can serve as a starting point in design.
  • Be able to use Matlabas tool for dynamical calculations and be able to write programs.
  • Insight in problems and the approach of dynamic measurements.
  • Be able to understand, create and apply models of single degree of freedom, multi degree of freedom and continuous systems.

3. Judgement and Approach

  • Critically assess the validity of the analytical and numerical results.
  • Be aware of the current challenges in Machine Dynamics
  • Feel more experience of engineering assessments and the identification and formulation of problems.

The course covers the basics of machine dynamics where the student should be able to develop and analyse simple models of real world engineering problems. The course includes; single degree of freedom systems (SDOF, 40%), vibration isolation and measuring technique (15%), multi degree of freedom systems (MDOF, 20%), computer exercise (10%) and continuous systems (15%).


Teaching is through;

  • Lectures where basic theory is presented.
  • Tutorials where solutions and methodologies are demonstrated.
  • Computer exercises where the students solve problems numerically.

The computer exercises are presented in a technical report.


Written examand approved report from computer exercises.

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

Transition terms
The course M0015T is equal to MTM172and 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

0001Written exam5.3G U 3 4 5
0002Computer exercises2.2U G#

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.