Here, the dynamics of inverse tapered granular chains, which are alignments of beads with progressively increasing radii, are investigated. These chains are subjected to harmonic excitation by a moving wall and probed at the tapered end. Intermediate taperings using Ni-Ti (metal) and Teflon (plastic) granules are considered. The proposed chain is based on the frequency responses. The incident signal is set between 1 Hz and 3 kHz. The system transmits or filters incident signals at low or high driving frequencies, respectively. For intermediate frequencies, similar to the human voice and most musical instruments, the driving frequency is amplified, presenting a median gain of 24 dB (an increase in energy by a factor of 250) over long durations. A transition map, showing regions of transmission, amplification, and filtration as a function of driving amplitude and frequency, is provided. This system could serve as a starting point for studies on natural voice amplifiers, which are important for addressing hearing loss and vocal disorders, as well as other applications requiring mechanical signal amplification. The findings suggest that a proper granular arrangement could enable the amplification of low or extremely low driving frequencies.
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August 2024
August 20 2024
Nonlinear dynamics of inverse tapered granular chains for mechanical amplification in voice frequency range
Luis Paulo Silveira Machado
;
Luis Paulo Silveira Machado
a)
1
Faculty of Physics, Federal University of Pará
, Tucurui, 68.464-000, Pará, Brazil
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Cody Kowal;
Cody Kowal
2
Department of Physics, State University of New York
, Buffalo, New York 14260-1500, USA
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Rafael Suzuki Bayma;
Rafael Suzuki Bayma
3
Faculty of Electrical Engineering, Federal University of Pará
, Tucurui, 68.464-000, Pará, Brazil
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Surajit Sen
Surajit Sen
b)
2
Department of Physics, State University of New York
, Buffalo, New York 14260-1500, USA
4
Department of Bioscience and Bioengineering, Indian Institute of Technology-Jodhpur
, Karwar, 342030, Rajasthan, India
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a)
Email: [email protected]
b)
Email: [email protected]
J. Acoust. Soc. Am. 156, 1241–1251 (2024)
Article history
Received:
March 02 2024
Accepted:
August 01 2024
Citation
Luis Paulo Silveira Machado, Cody Kowal, Rafael Suzuki Bayma, Surajit Sen; Nonlinear dynamics of inverse tapered granular chains for mechanical amplification in voice frequency range. J. Acoust. Soc. Am. 1 August 2024; 156 (2): 1241–1251. https://doi.org/10.1121/10.0028297
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