{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:33:47Z","timestamp":1760236427277,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2021,11,23]],"date-time":"2021-11-23T00:00:00Z","timestamp":1637625600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 52001131"],"award-info":[{"award-number":["No. 52001131"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>With the aim of applying various Helmholtz resonant cavities to achieve low-frequency sound absorption structures, a pipe structure with periodic, additional, symmetrical, multi-local resonant cavities is proposed. A thin plate with additional mass is placed in the cylindrical Helmholtz resonant cavity structure to form a symmetric resonant cavity structure and achieve multi-local resonance. The simulation results show that the periodic structure proposed in this paper can produce multiple, high acoustic transmission loss peaks and multiple lower broadband sound absorption frequency bands in the low-frequency range. In this paper, this idea is also extended to the Helmholtz resonant cavity embedded with multiple additional mass plates. The results show that the periodic arrangement of the multi-local resonant symmetric cavity inserted into multiple plates with mass can significantly increase its transmission loss and show a better performance on low-frequency sound absorption characteristics.<\/jats:p>","DOI":"10.3390\/sym13122233","type":"journal-article","created":{"date-parts":[[2021,12,1]],"date-time":"2021-12-01T03:12:40Z","timestamp":1638328360000},"page":"2233","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Analysis of Sound Absorption Characteristics of Acoustic Ducts with Periodic Additional Multi-Local Resonant Cavities"],"prefix":"10.3390","volume":"13","author":[{"given":"Junyi","family":"Liu","sequence":"first","affiliation":[{"name":"School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0724-7973","authenticated-orcid":false,"given":"Ting","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"}]},{"given":"Meixia","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,11,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"68","DOI":"10.3901\/JME.2016.13.068","article-title":"Application of Acoustic Metamaterials in Low-frequency Vibration and Noise Reduction","volume":"52","author":"Wu","year":"2016","journal-title":"J. Mech. Eng."},{"key":"ref_2","first-page":"153","article-title":"Properties of band gaps in phononic crystal pipe consisting of expansion chambers with extended inlet\/outlet","volume":"67","author":"Zhang","year":"2018","journal-title":"Acta Phys. Sin."},{"key":"ref_3","first-page":"37","article-title":"The muffling principle and application of Helmholtz resonator","volume":"4","author":"Chen","year":"1992","journal-title":"Phys. Bull."},{"unstructured":"Munjal, M.L. (1987). Acoustics of Ducts and Mufflers, Wiley.","key":"ref_4"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/j.advengsoft.2017.12.003","article-title":"Noise attenuation capacity of a Helmholtz resonator","volume":"116","author":"Cai","year":"2018","journal-title":"Adv. Eng. Softw."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/j.apacoust.2018.01.015","article-title":"Hybrid noise control in a duct using a periodic dual Helmholtz resonator array","volume":"134","author":"Cai","year":"2018","journal-title":"Appl. Acoust."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"314","DOI":"10.1016\/j.apacoust.2018.10.021","article-title":"Resonance frequencies and sound absorption of Helmholtz resonators with multiple necks","volume":"145","author":"Langfeldt","year":"2019","journal-title":"Appl. Acoust."},{"key":"ref_8","first-page":"231","article-title":"Acoustic Characteristics of Double Neck Helmholtz Resonators","volume":"40","author":"Ge","year":"2020","journal-title":"Noise Vib. Control"},{"key":"ref_9","first-page":"441","article-title":"Research on acoustic metamaterial based on Helmholtz resonant cavity array","volume":"27","author":"Zhang","year":"2020","journal-title":"Chin. J. Eng. Des."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1916239","DOI":"10.1155\/2020\/1916239","article-title":"Aeroacoustic Attenuation Performance of a Helmholtz Resonator with a Rigid Baffle Implemented in the Presence of a Grazing Flow","volume":"2020","author":"Guan","year":"2020","journal-title":"Int. J. Aerosp. Eng."},{"key":"ref_11","first-page":"297","article-title":"An acoustic metamaterial based on Helmholtz resonator with thin membrane","volume":"36","author":"Zhou","year":"2017","journal-title":"Tech. Acoust."},{"key":"ref_12","first-page":"426","article-title":"Effect of elastic cavity walls on acoustic characteristics of a water-filled Helmholtz resonator: Equivalent lumped parameter model for cylindrical cavity","volume":"32","author":"Zhou","year":"2007","journal-title":"Acta Acust."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1115\/1.4045456","article-title":"Acoustic-Structure Interaction in an Adaptive Helmholtz Resonator by Compliance and Constraint","volume":"142","author":"Cui","year":"2020","journal-title":"J. Vib. Acoust."},{"key":"ref_14","first-page":"206","article-title":"Research on the pipeline silencing characteristics of membrane-type acoustic metamaterial","volume":"38","author":"Liu","year":"2019","journal-title":"Tech. Acoust."},{"key":"ref_15","first-page":"334","article-title":"Sound propagation characteristics of a metamaterials-type periodic pipe and its low-frequency broadband control","volume":"42","author":"Li","year":"2017","journal-title":"Acta Acust."},{"key":"ref_16","first-page":"52","article-title":"Double local resonance effect acoustic metamaterial muffling performance","volume":"35","author":"Zhang","year":"2020","journal-title":"J. Aerosp. Power"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1016\/j.ymssp.2019.07.017","article-title":"On the modelling of membrane-coupled Helmholtz resonator and its application in acoustic metamaterial system","volume":"132","author":"Hu","year":"2019","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"144301","DOI":"10.7498\/aps.68.20190311","article-title":"Characteristics of low-frequency noise elimination in a fluid-filled pipe of dark acoustic metamaterial type","volume":"68","author":"Shen","year":"2019","journal-title":"Acta Phys. Sin."},{"doi-asserted-by":"crossref","unstructured":"Catapane, G., Magliacano, D., Petrone, G., Casaburo, A., Franco, F., and De Rosa, S. (2021). Transmission Loss Analyses on Different Angular Distributions of Periodic Inclusions in a Porous Layer. Aerotec. Missili Spaz.","key":"ref_19","DOI":"10.1007\/s42496-021-00101-6"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1121\/1.4940669","article-title":"Acoustic behavior of a rigidly backed poroelastic layer with periodic resonant inclusions by a multiple scattering approach","volume":"139","author":"Weisser","year":"2016","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2159","DOI":"10.1016\/j.ultras.2014.06.008","article-title":"Hybrid phononic crystal plates for lowering and widening acoustic band gaps","volume":"54","author":"Assouar","year":"2014","journal-title":"Ultrasonics"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"744","DOI":"10.1016\/j.ijmecsci.2018.10.055","article-title":"Suppression of the vibration and sound radiation of a sandwich plate via periodic design","volume":"150","author":"Song","year":"2019","journal-title":"Int. J. Mech. Sci."},{"unstructured":"Du, G.H., Zhu, Z.M., and Gong, X.F. (2012). Fundamentals of Acoustics, Nanjing University Press.","key":"ref_23"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1446","DOI":"10.1121\/1.412085","article-title":"Dispersion characteristics of sound waves in a tunnel with an array of Helmholtz resonators","volume":"97","author":"Sugimoto","year":"1995","journal-title":"Acoust. Soc. Am. J."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/12\/2233\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:34:24Z","timestamp":1760168064000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/12\/2233"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,23]]},"references-count":24,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2021,12]]}},"alternative-id":["sym13122233"],"URL":"https:\/\/doi.org\/10.3390\/sym13122233","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2021,11,23]]}}}