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The plucked string: An example of non-normal dynamics

Politzer, David (2015) The plucked string: An example of non-normal dynamics. American Journal of Physics, 83 (5). pp. 395-402. ISSN 0002-9505. http://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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1119/1.1645281DOIArticle
http://arxiv.org/abs/1406.6939arXivDiscussion Paper
ORCID:
AuthorORCID
Politzer, David0000-0002-4983-6621
Additional Information:© 2015 American Association of Physics Teachers. Received 26 June 2014; accepted 10 November 2014.
Group:Caltech Theory
Non-Subject Keywords:popular physics
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2014-143
Record Number:CaltechAUTHORS:20140813-152015648
Persistent URL:http://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:27 Oct 2017 20:17

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