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Published May 2015 | Submitted + Published
Journal Article Open

The plucked string: An example of non-normal dynamics

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.

Additional Information

© 2015 American Association of Physics Teachers. Received 26 June 2014; accepted 10 November 2014.

Attached Files

Published - politzer.pdf

Submitted - 1406.6939v1.pdf

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August 20, 2023
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