English

Every spring semester

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.

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.

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.

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

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

Lectures

Exercises

Project

Written exam

Written report

Written assignments

Failed, pass

Basic courses in Mechanics, Linear Algebra and Calculus.

Lidström, P. & Nilsson, K.: Fundamentals of Multibody Dynamics, Lecture notes. Division of Mechanics Lund University, 2015.

FMEN02F

 -05-04

Professor Per Kristiansson