The Limitation and Applicabilitity of Helmholtz Resonator, Regarding as Equivalent Single-Degree of Vibration System

1자유도 등가 진동계로 이해하는 헬름홀츠 공명기 특성의 한계점과 응용

  • 하상태 (한국과학기술원 대학원, 기계공학과) ;
  • 김양한 (한국과학기술원기계공학과)
  • Published : 1994.06.01

Abstract

Classical method calculates the resonance frequency of Helmholtz resonator by postulating that there is a moving mass in neck and a stiffness which expresses the compressibility of cavity. This has been widely accepted as reasonable to determine the resonant frequency, provided that the wave length of interest is longer that any length scale of resonater. Nevertheless, it has been often recognized that this classical method sometimes does not well predict the resonant frequency. This paper decribes the way in which the dynamics of resonator very often does care about the detail geometries of resonator; location of the neck, diameter ratio of the neck to that of cavitty, length of resonator compared with that of neck, etc. This rather unexpected observations have been proved theoretically; 3 dimensional analysis of acoustic wave equation, as well as experimentally by comparing the resonant frequencies, transmission loss, and insertion loss of resonator.

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References

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