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Modeling the dynamics of a vibrating string with a finite distributed unilateral constraint: Application to the sitar
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10.1121/1.3123403
/content/asa/journal/jasa/125/6/10.1121/1.3123403
http://aip.metastore.ingenta.com/content/asa/journal/jasa/125/6/10.1121/1.3123403
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Sitar, a stringed instrument of Indian origin.

Image of FIG. 2.
FIG. 2.

Sitar-bridge. The profile can be approximated by a parabolic curve. The base of the parabola defines the -axis passing through the far string termination point and parallel to the reference line shown, which runs along the neck of the instrument. See text for detailed dimensions.

Image of FIG. 3.
FIG. 3.

Bridge-string geometry and different phases of string motion (exaggerated for clarity). The right string termination lies on the -axis; the left termination lies on the parabolic bridge surface as shown.

Image of FIG. 4.
FIG. 4.

Variation of initial condition with initial contact length.

Image of FIG. 5.
FIG. 5.

Variation of modal amplitude with time for four different initial conditions. Bridge terminations given by and .

Image of FIG. 6.
FIG. 6.

Phase space for and for four different initial conditions. Bridge terminations given by and .

Image of FIG. 7.
FIG. 7.

Variation of instantaneous natural frequency with time.

Image of FIG. 8.
FIG. 8.

Slope of the string during phase-II and III motions.

Image of FIG. 9.
FIG. 9.

Waterfall plot showing the variation of string shape frequency components with time for motion in phase-II only.

Image of FIG. 10.
FIG. 10.

Phase space for and with two initial conditions and simulation parameters approximating those for a sitar: , and bridge terminations , . Also shown are results for extra wide bridge surface with .

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/content/asa/journal/jasa/125/6/10.1121/1.3123403
2009-06-01
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Modeling the dynamics of a vibrating string with a finite distributed unilateral constraint: Application to the sitar
http://aip.metastore.ingenta.com/content/asa/journal/jasa/125/6/10.1121/1.3123403
10.1121/1.3123403
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