University of Liege | Version française
Study programmes 2011-2012Last update : 14/06/2012
MECA0155-1  Dynamics of Mechanical Systems

Duration :  30h Th, 30h Pr
Number of credits :  
Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 3rd yearToute l'année5
Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 3rd yearFirst semester5
Master in Aerospatial Engineering, research focus, 1st yearFirst semester5
Master in Aerospatial Engineering, research focus (Thrust), 1st yearFirst semester5
Master in Mechanical Engineering, in-depth approach, 1st yearFirst semester5
Master in Engineering Physics, in-depth approach, 1st yearFirst semester5
Master in Aerospace Engineering, Professional Focus (Management), 1st yearFirst semester5
Master en ingénieur civil mécanicien, à finalité spécialisée en technologies durables en automobiles, 1st yearFirst semester5
Master in Mechanical Engineering, specialized approach, 1st yearFirst semester5
Master in Engineering Physics, specialized approach, 1st yearFirst semester5
Lecturer :  Jean‑Claude Golinval
Language(s) of instruction :  
French language
Course contents :  
The course provides the fundamentals of the dynamics of mechanical systems.
Course ouline
  • 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 will be illustrated through hands-on exercices and vibration experiments performed in the classroom or in laboratory. One project will be assigned during the course semester.
Learning outcomes of the course :  
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.
Prerequisites and co-requisites/ Recommended optional programme components :  
This course requires basic knowledge of fundamental calculus, differential equations and applied mechanics.
Planned learning activities and teaching methods :  
The course will also propose:
  • several practice exercises;
  • one homework related to a design problem of a multiple degrees-of-freedom system; this project has to be accomplished individually and will be evaluated;
Mode of delivery (face-to-face ; distance-learning) :  
2nd Semester
Recommended or required readings :  
Dynamique des systèmes mécaniques
Edited by the Centrale des Cours de l'AEES
Assessment methods and criteria :  
The final grade is based on the written examination and on the laboratory and project reports.
A. Written examination of theory (50%) The theory examination consists in:
  • answering to one question of theory drawn in the list available on the students' portal myULg;
  • giving some brief definitions and/or answering to a multiple-choice questionnaire.
No reference materials are allowed for the theory examination.
B. Practical written examination (40%) The practical written examination consists in solving exercices similar to those given during the semester. For this part of the examination, it is allowed to consult the book of theory only.
C. Homework (10%)
Contacts :  
Jean-Claude Golinval (JC.Golinval@ulg.ac.be)
Assistant : Mathieu Bertha (M.Bertha@ulg.ac.be)

Items online :  
Dynamics of Mechanical Systems
A copy of the slides used during the lectures is available on the MyUlg portal at the following address.


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