Multibody system Dynamics

LMECA2802  2018-2019  Louvain-la-Neuve

Multibody system Dynamics
5.0 credits
30.0 h + 30.0 h

Fisette Paul ;
Main themes

Definition and classification of multibody systems. Description of the various methods used by multibody softwares. Multibody formalisms for tree-like multobody systems (e.g. serial robot manipulators) and closed-loop systems (e.g. parallel manipulators, vehicles,...) : automatic computer generation of the dynamical eduations and numerical integration algorithms for differential-algebraic equations (DAE)


In consideration of the reference table AA of the program "Masters degree in Mechanical Engineering", this course contributes to the development, to the acquisition and to the evaluation of the following experiences of learning:

  • AA1.1, AA1.2, AA1.3
  • AA2.3, AA2.4, AA2.5
  • AA3.2, AA3.3
  • AA5.1, AA5.2, AA5.3
  • AA6.2, AA6.4

Give students a complementary education in the field of mechanics of systems of rigid bodies (geometry, kinematics, dynamics) bu studying the modelling aspects of complex articulted systems.
Develop the sutdents capacities in designing, writing and/or using multibody modelling software for robots, vehicles, suspensions systems and other mechanisms, with a view to their geometrical, kinematical and dynamical analysis.

The contribution of this Teaching Unit to the development and command of the skills and learning outcomes of the programme(s) can be accessed at the end of this sheet, in the section entitled “Programmes/courses offering this Teaching Unit”.

  1. Definition and classification of multibody systems (NBS). Principal characteristics of the computer programs used in modelling and analyzing multibody systems.
  2. Multobody formalisms for tree-like systems (e.g. serial robots) or closed-loop mechanisms (e.g. vehicles) - definition of barycentric quantities - automatic generation of the dynamical equations using the Lagrange multipliers technique (use of the virtual power principle and Newton-Euler recursive algorithm).
  3. Coordinate partitioning method.
  4. Numerical analysis : equilibrium, modal analysis, time simulation, inverse dynamics.
  5. Particular applications : serial and parallel robots, road vehicles, railway vehicles, multibody systems with flexible elements.

Students must choose a project (for 1 or 2 students) dealing with the modeling and analysis of a multibody system or with the reading and the synthesis of a couple of scientific publications.

Evaluation methods

Exam : oral examination. The exam consist of two parts: an examination on the theory (with lecture notes available) and a discussion about the project (theory, modelling and software implementaiton). support : lecture notes and copies of the slides used during the lectures.


Basic reference :

  • J.-C. Samin and P. Fisette : "Symbolic Modeling of Multobody Systems", Kluwer Academic Publishers, Dordrecht/Boston/London, 2003.

Recommended readings :

  • Parviz E. Nikravesh, Computer-Aided Analysis of Mechanical Systems, Prentice Hall Inc., 1988.
  • Haug, E.-J. : Computer Aided Kinematics and Dynamics of Mechanical Systems, Allyn and Bacon, Boston, 1989.
Faculty or entity

Programmes / formations proposant cette unité d'enseignement (UE)

Program title
Master [120] in Electro-mechanical Engineering

Master [120] in Mechanical Engineering

Master [120] in Biomedical Engineering