Course Syllabus for

# Mechanical Vibrations Mekaniska vibrationer

## FMEN11F, 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: FMEN11
Teaching language: English

## Aim

The aim of the course is that the student aquire: knowledge of the theory of small oscillations of undamped and damped mechanical systems with multiple degrees of freedom for discrete systems, as well as continuous systems insight in the theory of wave propagation in elastic materials understanding of different fysical phenomena such as resonance and anti resonanse experience of applications in the field of mechanical vibrations

## Goals

Knowledge and Understanding

For a passing grade the doctoral student must

• give an account of the most important results in the theory of small oscillations in undamped and damped mechanical systems.
• formulate and analyse theoretical models for small oscillations in n-degree systems as well as in some simple continuous systems.
• apply modal and transient analysis

Competences and Skills

For a passing grade the doctoral student must

• analyse mechanical systems with the aid of computer programmes (for example using Mathcad).
• work with analythical equations and using them identify relevant fysical properties
• perform analyses of vibration problems and present the results in well-written reports.

Judgement and Approach

For a passing grade the doctoral student must

• be able to evaluate technical solutions, for instance vibration isolation and damping of vibrations.
• be able to evaluate achieved results based on the problem formulation at hand as well as physical limitations.
• participate at discussions about technical problems and possibilities of mechanical vibrations in industrial applications.

## Course Contents

Vibrations in n-degree of freedom systems. Free vibrations and forced vibrations. Damping mechanisms. Gyroscopic forces. Modal analysis (classical normal modes, complex modes). Transfer functions. Transient response. Continuous systems and wave propagation. Vibration damping and vibration isolation. Examples of numerical analysis of mechanical vibrations. Industrial applications.

## Course Literature

LidstrÃ¶m, P.: Lecture notes on Mechanical Vibrations.. Division of Mechanics Lund University, 2017.

## Instruction Details

Types of instruction: Lectures, exercises, study visit

## Examination Details

Examination formats: Written exam, written assignments
Grading scale: Failed, pass
Examiner: