Politzer, David (2015) The plucked string: An example of non-normal dynamics. American Journal of Physics, 83 (5). pp. 395-402. ISSN 0002-9505. doi:10.1119/1.1645281. https://resolver.caltech.edu/CaltechAUTHORS:20140813-152015648
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Abstract
The motion of a single Fourier mode of the plucked string is an example of transient, free decay of linear, coupled, damped oscillators. It shares the rarely discussed features of the generic case, e.g., possessing a complete set of non-orthogonal eigenvectors and no normal modes, but it can be analyzed and solved analytically by hand in an approximation that is appropriate to musical instruments' plucked strings.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2015 American Association of Physics Teachers. Received 26 June 2014; accepted 10 November 2014. | |||||||||
| Group: | Caltech Theory | |||||||||
| Non-Subject Keywords: | popular physics | |||||||||
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| Issue or Number: | 5 | |||||||||
| DOI: | 10.1119/1.1645281 | |||||||||
| Record Number: | CaltechAUTHORS:20140813-152015648 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20140813-152015648 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 48534 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Joy Painter | |||||||||
| Deposited On: | 14 Aug 2014 21:31 | |||||||||
| Last Modified: | 10 Nov 2021 18:32 |
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