University of Liege | Version française
Study programmes 2010-2011Last update : 11/04/2011
MECA0155-1  Dynamics of Mechanical Systems
Duration :  30h Th, 30h Pr
Credits/ECTS :  
Bachelor in engineering sciences, civil engineer orientation (Bachelor in engineering sciences, civil engineer orientation), 3rd yearFirst semester5
Master in Aerospatial Engineering, in-depth approach, 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 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
Holder(s) :  Jean‑Claude Golinval
Language :  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 laboratory. One project will be assigned during the course semester.
Course objective :  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 :  This course requires basic knowledge of fundamental calculus, differential equations and applied mechanics.
Workshops :  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;
  • three laboratory sessions which aim at initiating the students to experimental techniques in vibration mechanics. The experiments are chosen to illustrate the theoretical concepts given during the course. A laboratory report is due within the three weeks following each session.
Participation to the laboratory sessions is mandatory.
Organization :  2nd Semester
Written notes :  Dynamique des systèmes mécaniques
Edited by the Centrale des Cours de l'AEES
Assessment :  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. Laboratory and project reports (10%)
Contacts :  Jean-Claude Golinval (JC.Golinval@ulg.ac.be)

Assistant : Maxime Peeters (M.Peeters@ulg.ac.be)


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