Syllabus 2009/2010 FMEN01

Syllabus academic year 2009/2010
(Created 2009-08-11.)

MULTIBODY DYNAMICS

FMEN01

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, FME120, 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:

provide knowledge of the basic theory of the dynamics of multibody systems consisting of rigid bodies as well as simple flexible bodies.
give insight in the numerical analysis of the equations of multibody dynamics.

Knowledge and understanding
For a passing grade the student must

be able to give an account of the most important results in the theory of multibody dynamics.
be able to formulate theoretical models for systems of connected rigid bodies and simple elastic bodies.
have knowledge of the commercial computer programmes that are available.

Skills and abilities
For a passing grade the student must

be able to analyse certain simple multibody systems with the aid of computer programmes (Mathcad, FEM, MBS-programmes).
be able to perform an analysis of a multi-body system and to present the results in a well-written report.
be able to describe some technical problems in industrial applications that can be studied with multibody dynamics.

Judgement and approach
For a passing grade the student must

be able to evaluate achieved results based on the problem formulation at hand as well as physical limitations.

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.