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: 01.11.2021 - 16.12.2021

Teacher in charge (valid for whole curriculum period):

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

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English


  • valid for whole curriculum period:

    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 for whole curriculum period:

    Assignments and exam.

  • valid for whole curriculum period:

    Lectures: 24h 

    Exercises: 12h

    Independent work: 93h

    Exam: 4h


Study Material
  • valid for whole curriculum period:

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

Substitutes for Courses
SDG: Sustainable Development Goals

    9 Industry, Innovation and Infrastructure


Further Information
  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Autumn II

    2021-2022 Autumn II

    Course Homepage:

    Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu ( instead of WebOodi.