Modeling and dynamic analysis of an electrical Helmholtz resonator for active control of resonant noise

[+] Author and Article Information
Sang-Myeong Kim

Mechanical Engineering Department, UNESP, Ilha Solteira, 15385-000, Brazil

Joao A. Pereira

Mechanical Engineering Department, UNESP, Ilha Solteira, 15385-000, Brazil

Antonio E. Turra

Mechanical Engineering Department, UNESP, Ilha Solteira, 15385-000, Brazil

Jun-Ho Cho

Department of Railway Transportation, Woosong College, 59, Baekryong-ro, Dong-gu, Daejeon, 34518, Korea

1Corresponding author.

ASME doi:10.1115/1.4036722 History: Received November 12, 2016; Revised April 28, 2017


This paper describes a theoretical and experimental investigation into an electrical Helmholtz resonator (EHR): that is, an active noise control loudspeaker used in conjunction with a microphone and a feedback controller for suppressing resonant noise in an acoustic cavity. The microphone is collocated with the loudspeaker and a band pass filter of second order is used as the control filter. The EHR is configured as such in order to suppress an acoustic mode that is within the volume velocity drive frequency range of the loudspeaker used. The concepts of impedance and passivity are used to develop the mathematical model as well as to study its dynamics. From these, it has been theoretically shown that the EHR is an extremely low-impedance acoustic damping device that electrically realizes the pressure neutralization mechanism of a conventional Helmholtz resonator. Experimental work is also presented, in which an EHR is constructed to suppress the Helmholtz mode of an acoustic cavity at about 40 Hz by more than 40 dB, to justify the mathematical model and also to verify the dynamic control mechanism.

Copyright (c) 2017 by ASME
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