On amplitude build-up at resonance

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


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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

Item Type: Article
ISSNs: 0306-4190 (print)
Keywords: resonance; damping; amplitued; transient response
Subjects: Q Science > Q Science (General)
T Technology > TJ Mechanical engineering and machinery
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences > Computational Engineering and Design
ePrint ID: 72121
Accepted Date and Publication Date:
July 2009Published
Date Deposited: 25 Jan 2010
Last Modified: 31 Mar 2016 13:04
URI: http://eprints.soton.ac.uk/id/eprint/72121

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