Effects of air loading on timpani membrane vibrations
作者:
Richard S. Christian,
Robert E. Davis,
Arnold Tubis,
Craig A. Anderson,
Ronald I. Mills,
Thomas D. Rossing,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1984)
卷期:
Volume 76,
issue 5
页码: 1336-1345
ISSN:0001-4966
年代: 1984
DOI:10.1121/1.391449
出版商: Acoustical Society of America
数据来源: AIP
摘要:
Measurements and theoretical calculations of timpani modal frequencies and decay times are made for the cases of no kettle enclosure and kettle enclosures of varying volume. For the calculations, the timpani membrane is assumed to be ideal and the kettle is assumed to be a rigid cylinder which is volume equivalent to the actual kettle. A Green function method is used for calculating the effects of air loading. The calculated modal frequencies and decay times are generally in good agreement with the experimental measurements. In particular, for typical kettle enclosures, the frequency ratiosf11 : f21 : f31 ; f41are found to be close to the harmonic ratios 2 : 3 : 4 : 5 over the normal playing range 100 Hz≲f11≲175 Hz.
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