Course Syllabus for

# Multibody Dynamics Flerkroppsdynamik

## FMEN02F, 7.5 credits

Valid from: Autumn 2018
Decided by: Professor Per Kristiansson
Date of establishment: 2018-05-04

## General Information

Division: Mechanics
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: FMEN02
Teaching language: 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.

## Goals

Knowledge and Understanding

For a passing grade the doctoral 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 doctoral 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 doctoral student must be able to evaluate achieved results based on the problem formulation at hand as well as physical limitations.

## Course 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.

## Course Literature

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

## Instruction Details

Types of instruction: Lectures, exercises, project

## Examination Details

Examination formats: Written exam, written report, written assignments