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Digital filter applications to model...

Van Duyne, Scott A.

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Digital filter applications to modeling wave propagation in springs, strings, membranes and acoustical space.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Digital filter applications to modeling wave propagation in springs, strings, membranes and acoustical space./
Author:	Van Duyne, Scott A.
Description:	236 p.
Notes:	Adviser: Chris Chafe.
Contained By:	Dissertation Abstracts International68-06A.
Subject:	Engineering, General. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3267653
ISBN:	9780549063834

Digital filter applications to modeling wave propagation in springs, strings, membranes and acoustical space.
Van Duyne, Scott A.

Digital filter applications to modeling wave propagation in springs, strings, membranes and acoustical space. - 236 p.

Adviser: Chris Chafe.

Thesis (Ph.D.)--Stanford University, 2007.

The physical modeling of strings and acoustic tubes using digital waveguides has been well studied elsewhere. The wave equation of a vibrating string is reviewed and spectral analysis methods are introduced to show equivalence between the 1-D digital waveguide and the standard difference approximation to the wave equation. Spectral methods are further used to analyze stiffness and loss terms. A method for modeling and calibrating stiffness is presented. A method for modeling and calibrating coupled strings, such as in the piano, is presented. A novel method for modeling membranes, plates, and acoustical space efficiently using a mesh of digital waveguides (first described in 1993) is derived and analyzed through spectral means. Various topologies for the digital waveguide mesh are analyzed. Methods for introducing nonlinear coupling of the modes, as in gongs, and nonlinear excitations, as in the piano hammer or felt mallet, are also derived using traveling-wave decomposition of lumped impedances. A simplified piano model including soundboard, nonlinear hammer, and coupled stiff strings is presented.

ISBN: 9780549063834Subjects--Topical Terms:

1020744
Engineering, General.

Digital filter applications to modeling wave propagation in springs, strings, membranes and acoustical space.
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020 $a 9780549063834
035 $a (UMI)AAI3267653
035 $a AAI3267653
040 $a UMI $c UMI
100 1 $a Van Duyne, Scott A. $3 1280681
245 1 0 $a Digital filter applications to modeling wave propagation in springs, strings, membranes and acoustical space.
300 $a 236 p.
500 $a Adviser: Chris Chafe.
500 $a Source: Dissertation Abstracts International, Volume: 68-06, Section: A, page: 2240.
502 $a Thesis (Ph.D.)--Stanford University, 2007.
520 $a The physical modeling of strings and acoustic tubes using digital waveguides has been well studied elsewhere. The wave equation of a vibrating string is reviewed and spectral analysis methods are introduced to show equivalence between the 1-D digital waveguide and the standard difference approximation to the wave equation. Spectral methods are further used to analyze stiffness and loss terms. A method for modeling and calibrating stiffness is presented. A method for modeling and calibrating coupled strings, such as in the piano, is presented. A novel method for modeling membranes, plates, and acoustical space efficiently using a mesh of digital waveguides (first described in 1993) is derived and analyzed through spectral means. Various topologies for the digital waveguide mesh are analyzed. Methods for introducing nonlinear coupling of the modes, as in gongs, and nonlinear excitations, as in the piano hammer or felt mallet, are also derived using traveling-wave decomposition of lumped impedances. A simplified piano model including soundboard, nonlinear hammer, and coupled stiff strings is presented.
590 $a School code: 0212.
650 4 $a Engineering, General. $3 1020744
650 4 $a Music. $3 516178
650 4 $a Physics, Acoustics. $3 1019086
690 $a 0413
690 $a 0537
690 $a 0986
710 2 0 $a Stanford University. $3 754827
773 0 $t Dissertation Abstracts International $g 68-06A.
790 $a 0212
790 1 0 $a Chafe, Chris, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3267653