The University of Southampton
University of Southampton Institutional Repository

On amplitude build-up at resonance

Stephen, N.G. (2009) On amplitude build-up at resonance International Journal of Mechanical Engineering, 37, (3), pp. 1-8.

Record type: Article


A spring-mass oscillator will have infinite amplitude if excited at its natural frequency, although it takes infinite time for this to build up. When damping is present, the forced response is finite; expressions for both the time taken and the number of forced cycles for this to build up from dormant initial conditions are derived. It is shown that the time taken is independent of the forcing frequency, and hence the final amplitude, while the number of cycles is proportional to the forcing frequency

Full text not available from this repository.

More information

Published date: July 2009
Keywords: resonance, damping, amplitued, transient response


Local EPrints ID: 72121
ISSN: 0306-4190
PURE UUID: d32a8d7c-3efb-4668-88ad-c1bc4faab810

Catalogue record

Date deposited: 25 Jan 2010
Last modified: 18 Jul 2017 23:56

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.