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Analysis of Damped Mass-Spring Systems for Sound Synthesis.

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Title: Analysis of Damped Mass-Spring Systems for Sound Synthesis.
Authors: Morgan, Don1, Sanzheng Qiao1
Source: EURASIP Journal on Audio Speech & Music Processing. 2009, Vol. 2009, Special section p1-19. 19p. 5 Diagrams, 1 Chart, 16 Graphs.
Subjects: Computer sound processing, Mathematical analysis, Vibration isolation, Frequencies of oscillating systems, Dampers (Mechanical devices), Euler method
Abstract: There are many ways of synthesizing sound on a computer. The method that we consider, called a mass-spring system, synthesizes sound by simulating the vibrations of a network of interconnected masses, springs, and dampers. Numerical methods are required to approximate the differential equation of a mass-spring system. The standard numerical method used in implementing massspring systems for use in sound synthesis is the symplectic Euler method. Implementers and users ofmass-spring systems should be aware of the limitations of the numericalmethods used; in particular we are interested in the stability and accuracy of the numerical methods used.We present an analysis of the symplectic Euler method that shows the conditions under which the method is stable and the accuracy of the decay rates and frequencies of the sounds produced. [ABSTRACT FROM AUTHOR]
Copyright of EURASIP Journal on Audio Speech & Music Processing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: Analysis of Damped Mass-Spring Systems for Sound Synthesis.
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  Data: <searchLink fieldCode="AR" term="%22Morgan%2C+Don%22">Morgan, Don</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Sanzheng+Qiao%22">Sanzheng Qiao</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22EURASIP+Journal+on+Audio+Speech+%26+Music+Processing%22">EURASIP Journal on Audio Speech & Music Processing</searchLink>. 2009, Vol. 2009, Special section p1-19. 19p. 5 Diagrams, 1 Chart, 16 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Computer+sound+processing%22">Computer sound processing</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+isolation%22">Vibration isolation</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink><br /><searchLink fieldCode="DE" term="%22Dampers+%28Mechanical+devices%29%22">Dampers (Mechanical devices)</searchLink><br /><searchLink fieldCode="DE" term="%22Euler+method%22">Euler method</searchLink>
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  Label: Abstract
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  Data: There are many ways of synthesizing sound on a computer. The method that we consider, called a mass-spring system, synthesizes sound by simulating the vibrations of a network of interconnected masses, springs, and dampers. Numerical methods are required to approximate the differential equation of a mass-spring system. The standard numerical method used in implementing massspring systems for use in sound synthesis is the symplectic Euler method. Implementers and users ofmass-spring systems should be aware of the limitations of the numericalmethods used; in particular we are interested in the stability and accuracy of the numerical methods used.We present an analysis of the symplectic Euler method that shows the conditions under which the method is stable and the accuracy of the decay rates and frequencies of the sounds produced. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of EURASIP Journal on Audio Speech & Music Processing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1155/2009/947823
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        Text: English
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        PageCount: 19
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      – SubjectFull: Computer sound processing
        Type: general
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        Type: general
      – SubjectFull: Vibration isolation
        Type: general
      – SubjectFull: Frequencies of oscillating systems
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      – SubjectFull: Dampers (Mechanical devices)
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      – SubjectFull: Euler method
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