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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

Abstract

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

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More information

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

Identifiers

Local EPrints ID: 72121
URI: http://eprints.soton.ac.uk/id/eprint/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

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