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Doubly Terminated Ideal Plucked String
A doubly terminated string, ``plucked'' at 1/4 its length.
Shown short time after pluck event.
Traveling-wave
components and physical string-shape shown.
Note
traveling-wave
components sum to zero at terminations. (Use
image method
.)
Subsections
Digital Waveguide Plucked-String Model Using Initial Conditions
Acceleration-Wave Simulation
Ideal Struck-String Velocity-Wave Simulation
External String Excitation at a Point
Delay Consolidated System (Repeated):
Algebraic Derivation
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Download
SimpleStrings.pdf
Download
SimpleStrings_2up.pdf
Download
SimpleStrings_4up.pdf
``
Elementary Digital Waveguide Models for Vibrating Strings
'', by
Julius O. Smith III
and
Nelson Lee
,
REALSIMPLE
Project — work supported by the
Wallenberg Global Learning Network
.
Released
2008-06-05
under the
Creative Commons License (Attribution 2.5)
, by
Julius O. Smith
III and Nelson Lee
Center for Computer Research in Music and Acoustics (CCRMA),
Stanford University
