Abstract
In this text, the combination of spiral structure and zigzag channels is introduced to design labyrinthine structures, in which sound waves can propagate alternately in the clockwise and counterclockwise directions. Finite element method and S-parameter retrieval method are used to calculate band structures, effective parameters, and transmission properties of the structures. The influences of different structural parameters on their acoustic properties are also studied. These results show labyrinthine structures have multiple bandgaps in the range of 0 Hz–1000 Hz, and the proportion of bandgaps exceeds 33%, which indicates labyrinthine structures have good broadband properties. The normalized frequency of the lowest bandgaps is far smaller than 1, which indicates the structures take good control of sound waves on subwavelength scale. Combining units with different structural parameters can achieve better sound insulation. This research provides a new kind of space-coiling structure for low-frequency and broadband sound waves control, which have excellent application prospects.
Highlights
Noise is ubiquitous in the modern world and causes considerable trouble in daily life, in the range of 0 Hz–1000 Hz [1]
Resonant acoustic metamaterials provide a new way to control sound waves. ese materials can break the restrictions of the mass density law and cause low-frequency sound waves to be attenuated effectively on the subwavelength scale, which show that these materials have promising application prospects [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]
To control sound waves effectively within the range of 0 Hz to 1000 Hz using the small size structural units, researchers have carried out extensive study into the acoustic properties of locally resonant acoustic metamaterials
Summary
Noise is ubiquitous in the modern world and causes considerable trouble in daily life, in the range of 0 Hz–1000 Hz [1]. To control sound waves effectively within the range of 0 Hz to 1000 Hz using the small size structural units, researchers have carried out extensive study into the acoustic properties of locally resonant acoustic metamaterials. To achieve better control of low-frequency and broadband acoustic waves, researchers introduce the space-coiling method into acoustic metamaterials and design acoustic metamaterials with high refractive indexes, multiple vibration modes, and extraordinary acoustic properties, providing a new method to achieve broadband control of acoustic waves with a single structural unit [20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36]. Ese results show that space-coiling structures can achieve better control of low-frequency and broadband sound waves in 0 Hz–1000 Hz compared with locally resonant acoustic metamaterials. The combination of spiral structure and zigzag channels is introduced to design labyrinthine structures. e labyrinthine structures with different numbers of folds are built up and their bandgaps and transmission properties are studied. e results show the new designed labyrinthine structures contain more bandgaps than previous designs and they can realize better control of the low-frequency and broadband sound waves in 0 Hz to 1000 Hz
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