Optimal pumping in a model of a swing

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We analyse a model of a swing where the swing is regarded as a pendulum with a variable length under the influence of friction. Related to the optimal control of the swing, we discuss the various pumping manners and the effects of their properties such as the pumping frequency, pumping phase and pumping amplitude. The optimal pumping manner can be the step pumping, where sitting (standing) occurs when the swing goes from the highest (lowest) position to the lowest (highest) position with as large a pumping amplitude as possible.
Publisher
IOP PUBLISHING LTD
Issue Date
2006-01
Language
English
Article Type
Article
Citation

EUROPEAN JOURNAL OF PHYSICS, v.27, pp.75 - 86

ISSN
0143-0807
DOI
10.1088/0143-0807/27/1/008
URI
http://hdl.handle.net/10203/86582
Appears in Collection
RIMS Journal Papers
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