English

Every autumn semester

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

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.

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

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.

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.

Lectures

Exercises

Study visit

Written exam

Written assignments

Failed, pass

Basic courses in Engineering Mechanics, Linear Algebra and Calculus.

Lidström, P.: Lecture notes on Mechanical Vibrations.. Division of Mechanics Lund University, 2017.

FMEN11F

 -05-04

Professor Per Kristiansson