Abstract
An acoustic resonator with shape deformation has been analysed using the finite element method. The shape deformation is such that the volume of the resonator remains constant. The effect of deformation on the resonant frequencies is studied. Deformation splits the degenerate frequencies.
Similar content being viewed by others
References
Akin J E 1988Application and implementation of finite element method (New York: Academic Press)
Bathe K J, Wilson E 1987Numerical methods infinite element analysis (New Delhi: Prentice Hall of India)
Bjerke C, Van Bladel J 1964 Excitation of a circular cylindrical cavity by a circular waveguide.J. Acoust. Soc. Am. 36: 1095–1099
Chaudhari A S, Patil P B 1997 Analysis of deformed microstrip resonator using finite element method.Sādhāna 22: 649–657
Edmonds P D 1961 On correlating the loss factors of cylindrical and spherical resonators.J. Acoust. Soc. Am. 33: 615–622
Ingard U 1953a On the theory and design of acoustic resonators.J. Acoust. Soc. Am. 25: 1037–1062
Ingard U 1953b Near field of a Helmholtz resonator exposed to plane wave.J. Acoust. Soc. Am. 25: 1062–1067
Karkare M M, Chaudhari A S, Patil P B 1996 Analysis of bent microstrip resonator using finite element method.Indian J. Phys. B70: 487–494
Rayleigh J W S 1945The theory of sound (II) (New York: Dover)
Reddy J N 1986An introduction to finite element method (New York: McGraw Hill)
Van Bladel J 1964 Excitation of resonant cavity by ducts of small cross-sectional dimensions.J. Acoust. Soc. Am. 36: 1090–1094
Van Bladel J 1969 Coupling through small apertures with an application to Helmholtz resonators.J. Acoust. Soc. Am. 45: 604–613
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kalmse, G.M., Chaudhari, A. & Patil, P.B. Analysis of acoustic resonator with shape deformation using finite element method. Sadhana 25, 475–480 (2000). https://doi.org/10.1007/BF02703628
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02703628