Course syllabus

# Mekaniska vibrationer Mechanical Vibrations

## FMEN10, 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-bem, M4, M4-bem, Pi4, Pi4-bs
Language of instruction: The course will be given in English

## Aim

The aim of the course is to:

• provide knowledge of the theory of small oscillations of undamped and damped mechanical systems with multiple degrees of freedom for discrete systems and continuous systems.
• give an understanding of the theory of wave propagation in elastic materials.

## 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 small oscillations in undamped and damped mechanical systems.
• be able to formulate and analyse theoretical models for small oscillations in n-degree systems as well as in some simple continuous systems.
• be able to apply modal and transient analysis.
• be familiar with the principles of experimental modal analysis.

Competences and skills
For a passing grade the student must

• be able to analyse certain simple mechanical systems with the aid of computer programmes (Mathcad, FEM).
• be able to perform an analysis of a vibration problem and to present the results in a well-written report.
• be able to describe some technical problems and possibilities of mechanical vibrations in industrial applications.

Judgement and approach
For a passing grade the 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.

## Contents

Vibrations in n-degree of freedom systems. 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. Applications including the numerical analysis of mechanical vibrations.

## Examination details

Assessment: Hand in exercises and written exam.

• Basic courses in Engineering Mechanics, Linear Algebra and Calculus

The number of participants is limited to: No
The course overlaps following course/s: FMEF05