Vibration analysis of a musical drum head under nonuniform density and tension using a spectral method

Toshiya Samejima, Risa Fukuda

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper develops a numerical method to analyze the membrane vibration of a membranophone with nonuniform heads, in which the density and tension vary smoothly. A spectral method is applied to numerically analyze the wave equation governing a membrane with spatially varying areal density and tension. An Indian drum tabla, representing nonuniform density, and a typical drum tom tom with several tension rods, representing nonuniform tension, are analyzed using the proposed numerical method to determine their eigenfrequencies and eigenmode shapes.

Original languageEnglish
Pages (from-to)295-302
Number of pages8
JournalAcoustical Science and Technology
Volume37
Issue number6
DOIs
Publication statusPublished - Jan 1 2016

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drums
spectral methods
vibration
membranes
wave equations
rods

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

Cite this

Vibration analysis of a musical drum head under nonuniform density and tension using a spectral method. / Samejima, Toshiya; Fukuda, Risa.

In: Acoustical Science and Technology, Vol. 37, No. 6, 01.01.2016, p. 295-302.

Research output: Contribution to journalArticle

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