Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
