Science University Research Symposium (SURS)
Publication Date
Fall 2026
College
College of Sciences & Mathematics
Department
Chemistry and Physics, Department of
SURS Faculty Advisor
Dr. Matthew Zeh
Presentation Type
Poster Presentation
Abstract
Abstract: Resonance underlies many acoustic phenomena and provides a means of controlling sound transmission. This study examines the response of classic Helmholtz resonators (CHRs) and quarter-wavelength resonators (QWRs) through lab experiments using white noise and frequency sweeps. Measured resonant frequencies were compared with theoretical predictions based on the resonator’s geometry and the speed of sound in air. Measured resonant frequencies differed from predicted values by no more than 5% across all trials. However, differences in response amplitude were observed among the resonators.
These results establish a foundation for investigating arrays of resonators, a configuration relevant to locally resonant acoustic metamaterials. In future tests, CHRs and QWRs will be mounted as side branches along a PVC tube, with a sound source at one end and a microphone at the other. Measurements will examine attenuation near branch resonances and investigate whether a combination of resonators can produce a band-stop or band-pass response. This approach scales metamaterial concepts, which are usually studied at small sizes or ultrasonic frequencies, to audible frequencies and tube dimensions that are practical to build and measure in a teaching lab.
Recommended Citation
Tolbert, Caleb, "Helmholtz and Quarter-Wavelength Resonators as Building Blocks for a Large-Scale Acoustic Metamaterial Analog" (2026). Science University Research Symposium (SURS). 352.
https://repository.belmont.edu/surs/352
