Syllabus academic year 2008/2009
(Created 2008-07-17.)
MULTIBODY DYNAMICSFMEN01

Higher education credits: 8. Grading scale: TH. Level: A (Second level). Language of instruction: The course might be given in English. FMEN01 overlap following cours/es: FME071, FME120, FME071 och FME120. Optional for: F4, F4tf, I4pu, M4, M4fo, M4mo, Pi4. Course coordinator: Associate Prof. Per Lidström, per.lidstrom@mek.lth.se, Mekanik. Prerequisites: Basic courses in mechanics, linear algebra and analysis. Recommended prerequisits: Continuum mechanics and dynamics. Assessment: Hand in exercises and written exam. Further information: The course might be offered in English. Home page: http://www.mek.lth.se.

Aim
The aim of the course is to:

Knowledge and understanding
For a passing grade the student must

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

Contents
Rigid body kinematics and dynamics; Euler angles,etc, inertia tensor, Euler equations, Energy and Effect. Fixed-axis rotation; reaction forces, dynamic balancing, stability, Gyroscopic movement.d'Alemberts principle. Lagranges equations; constraints, degrees of freedom, Lagrange function, generalized forces.Multibody systems; holonomic and non-holonomic constraints,contact forces, friction, loss of effect. Lagranges equations with constraints. Rigid and flexible bodies in systems;discretization and coordinate representation mass- and stiffness-matrices. Equations of motion, construction and numerical treatment.Computer programmes; ADAMS, Matlab.

Literature
Lidström P., Nilsson K.:Lecture Notes on Fundamentals of MultiBody Dynamics. Division of Mechanics, LTH, 2006.
A.A. Shabana: Dynamics of MultiBody Systems. 3rd Edition. Cambridge University Press.2005.