On amplitude build-up at resonance
On amplitude build-up at resonance
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
resonance, damping, amplitued, transient response
1-8
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
July 2009
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Stephen, N.G.
(2009)
On amplitude build-up at resonance.
International Journal of Mechanical Engineering, 37 (3), .
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
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Local EPrints ID: 72121
URI: http://eprints.soton.ac.uk/id/eprint/72121
ISSN: 0306-4190
PURE UUID: d32a8d7c-3efb-4668-88ad-c1bc4faab810
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Date deposited: 25 Jan 2010
Last modified: 08 Jan 2022 08:32
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