Hostname: page-component-669899f699-tpknm Total loading time: 0 Render date: 2025-04-26T10:54:46.570Z Has data issue: false hasContentIssue false
  • English
  • Français

Two-dimensional resonators with small openings

Published online by Cambridge University Press:  17 February 2009

G. R. Bigg  and
E. O. Tuck
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The acoustic response of a two-dimensional nearly-closed cavity to an excitation through a small opening is examined, using the method of matched asymptotic expansions. The Helmholtz mode of vibration is discussed using a low-frequency expansion of the velocity potential in the cavity interior. The variation in frequency and magnitude of the resonator response is explored, both for the Helmholtz and the natural-frequency modes.

Type
Research Article
Information
The ANZIAM Journal , Volume 24 , Issue 1 , July 1982 , pp. 2 - 27
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Gradshteyn, I. S. and Ryzhik, I. M., Tables of integrals, series and products (Academic Press, New York, 4th edition, 1970).Google Scholar
[2]von Helmholtz, H., “Theorie der Luftschwingungen in Röhren mit offenen Enden”, Crelle 57 (1860), 1–72.Google Scholar
[3]Lee, J.-J., “Wave induced oscillations in harbours of arbitrary shape”, Cal. Inst. Tech. W. M. Keck Lab. Hydraul. & Wat. Res. Rep. KH–R–20 (1969), 1–266.Google Scholar
[4]Lee, J.-J., “Wave induced oscillations in harbours of arbitrary geometry”, J. Fluid Mech. 45 (1971), 375–394.Google Scholar
[5]Miles, J. W., “Resonant response of harbours: an equivalent-circuit analysis”, J. Fluid Mech. 46 (1971), 241–265.Google Scholar
[6]Miles, J. W., “Harbor seiching”, Annual Rev. Fluid Mech. 6 (1974), 17–35.CrossRefGoogle Scholar
[7]Miles, J. W. and Lee, Y. K., “Helmholtz resonance of harbours”, J. Fluid Mech. 67 (1975), 445–464.Google Scholar
[8]Rayleigh, Lord, “On the theory of resonance”, Phil. Trans. Roy. Soc. 161 (1870), 77–118.Google Scholar
[9]Lord, Rayleigh, The theory of sound (Dover, New York, 1945), Volume 2.Google Scholar
[10]Tuck, E. O., “Matching problems involving flow through small holes”, Adv. Appl. Mech. 15 (1974), 1–117.Google Scholar