2021-2022 / MECA0155-2

Dynamics of mechanical systems


26h Th, 26h Pr, 20h Proj.

Number of credits

 Bachelor of Science (BSc) in Engineering5 crédits 
 Master of Science (MSc) in Aerospace Engineering5 crédits 
 Master of Science (MSc) in Mechanical Engineering (EMSHIP+, Erasmus Mundus)5 crédits 


Jean-Claude Golinval

Language(s) of instruction

French language

Organisation and examination

Teaching in the first semester, review in January


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

The course provides the fundamentals of the dynamics of mechanical systems.
Course outline

  • Review of Lagrangian and Newtonian dynamics and application to simple mechanical systems.
  • Single and multiple degrees-of-freedom systems: fundamentals (resonance frequency and mode-shape), response prediction to forced excitations.
  • Continuous systems and discretisation methods.
  • Dynamic behavior of rotating machines: critical speeds, balancing methods.
The theoretical concepts are illustrated through hands-on exercices. One project is assigned during the course semester.

Learning outcomes of the learning unit

The objective is to give to the students a solid background in the modelling and the simulation of the dynamical behavior of mechanical structures. Typical vibration problems encountered in mechanical systems and rotating machines will illustrate the theory.

This course contributes to the learning outcomes I.2, III.1, III.2, IV.1, VI.1, VII.2, VII.4 of the BSc in engineering.

Prerequisite knowledge and skills

This course requires basic knowledge of fundamental calculus, differential equations and applied mechanics.

Planned learning activities and teaching methods

The course includes ex-cathedra lectures (26h), exercise sessions (26h) and homeworks.

Mode of delivery (face to face, distance learning, hybrid learning)

Face-to-face course

Recommended or required readings

"Dynamique des systèmes mécaniques", edited by the "Centrale des Cours" of the School of Engineering.

Assessment methods and criteria

Exam(s) in session

Any session

- In-person

written exam ( multiple-choice questionnaire, open-ended questions )

Written work / report

Additional information:

The final grade is based on the written examinations and on the homework reports. No document is allowed during the examinations.
A. Written examination of theory (30%) The theory examination consists in:

  • answering to one question of theory;
  • giving some brief definitions and/or answering to a multiple-choice questionnaire.
B. Practical written examination (40%) The practical written examination consists in solving exercises similar to those given during the semester.
C. Project (30%) Written reports on the proposed homeworks are mandatory. The note of the homeworks is taken into account for the second session but is not reported in case of final failure.   The final mark is calculated by a weighted geometric average of the different parts: 
Final mark = Theory^(0.3) * Exercises^(0.4) * Project^(0.3) 
There is no partial exemption for the examinations.

Work placement(s)

Organizational remarks

The organisation is explained in details during the first lecture.


Jean-Claude Golinval (JC.Golinval@uliege.be)
Assistant : Elise Delhez (Elise.Delhez@uliege.be)