Course syllabus
Flerkroppsdynamik
Multibody Dynamics
FMEN01, 8 credits, A (Second Cycle)
Valid for: 2013/14
Decided by: Education Board E
Date of Decision: 2013-04-17
General Information
Elective for: F4, F4-tf, F4-bem, M4-bem
Language of instruction: The course will be given in English
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.
Learning outcomes
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.
Competences and skills
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.
Examination details
Grading scale: TH
Assessment: Hand in exercises and written exam.
Admission
Admission requirements:
- Basic courses in Mechanics, Linear Algebra and Calculus
The number of participants is limited to: No
The course overlaps following course/s: FME071, FME120
Reading list
- 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.
Contact and other information
Course coordinator: Univ. lekt. Per Lidström, per.lidstrom@mek.lth.se
Course homepage: http://www.mek.lth.se
Further information: The course might be offered in English.