The plucked string: an example of non-normal dynamics

David Politzer

doi:10.1119/1.4902310

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arXiv · 1406.6939

The plucked string: an example of non-normal dynamics

David Politzer

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Abstract

Motion of a single Fourier mode of the plucked string is an example of transient, free decay of 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.

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David Politzer. 2014-06-26. The plucked string: an example of non-normal dynamics. https://doi.org/10.1119/1.4902310

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