In this work, the transmission loss of a Helmholtz resonator is maximized (optimized) by allowing the resonator end plate thickness to vary for two cases: (1) a nonoptimized baseline resonator and (2) a resonator with a uniform flexible endplate that was previously optimized for transmission loss and resonator size. To accomplish this, receptance coupling techniques were used to couple a finite element model of a varying thickness resonator end plate to a mass-spring-damper model of the vibrating air mass in the resonator. Sequential quadratic programming was employed to complete a gradient-based optimization search. By allowing the end plate thickness to vary, the transmission loss of the nonoptimized baseline resonator was improved significantly, 28%. However, the transmission loss of the previously optimized resonator for transmission loss and resonator size showed minimal improvement.
Tailoring Plate Thickness of a Helmholtz Resonator for Improved Sound Attenuation
Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 16, 2018; final manuscript received January 2, 2019; published online February 13, 2019. Assoc. Editor: Ronald N. Miles.
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Kurdi, M., Nudehi, S., and Duncan, G. S. (February 13, 2019). "Tailoring Plate Thickness of a Helmholtz Resonator for Improved Sound Attenuation." ASME. J. Vib. Acoust. June 2019; 141(3): 034502. https://doi.org/10.1115/1.4042519
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