Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


After the course, the student will be able to:

  • derive the equation of motion for vibrating systems with one or two degrees-of-freedom;
  • solve the equation of motion for undamped and damped systems under free or forced vibration;
  • compute the natural frequencies and mode shapes of systems with multiple degrees-of-freedom;
  • use the theory of vibration to solve design problems.

Credits: 5

Schedule: 26.10.2020 - 10.12.2020

Teacher in charge (valid 01.08.2020-31.07.2022): Luc St-Pierre

Teacher in charge (applies in this implementation): Luc St-Pierre

Contact information for the course (valid 12.10.2020-21.12.2112):

Luc St-Pierre, contact me by email:

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English


  • Valid 01.08.2020-31.07.2022:

    The course will start by presenting the equation of motion and solution for an undamped system, with one degree-of-freedom, that is freely vibrating.  Next, damped systems and the case of forced vibration will be introduced.  The theory will be used to study a few common design problems, such as vibration of rotating systems.  Finally, these theoretical concepts will be extended to systems with multiple degrees-of-freedom.

Assessment Methods and Criteria
  • Valid 01.08.2020-31.07.2022:

    Assignments and exam.

  • Applies in this implementation:

    Five weekly assignments (50%)

    Exam (50%)

  • Valid 01.08.2020-31.07.2022:

    Lectures: 24h 

    Exercises: 12h

    Independent work: 93h

    Exam: 4h


Study Material
  • Valid 01.08.2020-31.07.2022:

    The lecture notes provided should be sufficient to follow the course.  For additional information, consult: D.J. Inman, Engineering vibration, 4th edition, Pearson, 2014.

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