{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,27]],"date-time":"2026-06-27T03:47:47Z","timestamp":1782532067898,"version":"3.54.5"},"reference-count":38,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2027,6,27]],"date-time":"2027-06-27T00:00:00Z","timestamp":1814054400000},"content-version":"am","delay-in-days":238,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.cnsns.2026.110442","type":"journal-article","created":{"date-parts":[[2026,6,20]],"date-time":"2026-06-20T15:40:21Z","timestamp":1781970021000},"page":"110442","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"P3","title":["Theoretical and experimental study of non-reciprocal sound transmission in nonlinear asymmetric vibro-acoustic oscillators"],"prefix":"10.1016","volume":"162","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8588-9475","authenticated-orcid":false,"given":"Jiangming","family":"Jin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lei","family":"Yue","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jingxiao","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chongan","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexander","family":"Vakakis","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lawrence","family":"Bergman","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"10","key":"10.1016\/j.cnsns.2026.110442_bib0001","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.103.104301","article-title":"Acoustic diode: rectification of acoustic energy flux in one-dimensional systems","volume":"103","author":"Liang","year":"2009","journal-title":"Phys Rev Lett"},{"issue":"12","key":"10.1016\/j.cnsns.2026.110442_bib0002","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1038\/nmat2881","article-title":"An acoustic rectifier","volume":"9","author":"Liang","year":"2010","journal-title":"Nat Mater"},{"key":"10.1016\/j.cnsns.2026.110442_bib0003","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1016\/j.jmps.2017.01.010","article-title":"Modulated phononic crystals: non-reciprocal wave propagation and Willis materials","volume":"101","author":"Nassar","year":"2017","journal-title":"J Mech Phys Solids"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110442_bib0004","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.97.014305","article-title":"Quantization of band tilting in modulated phononic crystals","volume":"97","author":"Nassar","year":"2018","journal-title":"Phys Rev B"},{"issue":"12","key":"10.1016\/j.cnsns.2026.110442_bib0005","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.120.124502","article-title":"Unidirectional wave vector manipulation in two-dimensional space with an all passive acoustic parity-time-symmetric metamaterials crystal","volume":"120","author":"Liu","year":"2018","journal-title":"Phys Rev Lett"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110442_bib0006","article-title":"PT-symmetric acoustics","volume":"4","author":"Zhu","year":"2014","journal-title":"Phys Rev X"},{"issue":"17","key":"10.1016\/j.cnsns.2026.110442_bib0007","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevB.91.174306","article-title":"Subwavelength ultrasonic circulator based on spatiotemporal modulation","volume":"91","author":"Fleury","year":"2015","journal-title":"Phys Rev B"},{"issue":"5","key":"10.1016\/j.cnsns.2026.110442_bib0008","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.97.052211","article-title":"Acoustic non-reciprocity in a lattice incorporating nonlinearity, asymmetry, and internal scale hierarchy: experimental study","volume":"97","author":"Bunyan","year":"2018","journal-title":"Phys Rev E"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110442_bib0009","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevApplied.12.034033","article-title":"Tunable acoustic non-reciprocity in strongly nonlinear waveguides with asymmetry","volume":"12","author":"Mojahed","year":"2019","journal-title":"Phys Rev Appl"},{"key":"10.1016\/j.cnsns.2026.110442_bib0010","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.97.012219","article-title":"Non-reciprocity in the dynamics of coupled oscillators with nonlinearity, asymmetry, and scale hierarchy","volume":"97","author":"Moore","year":"2018","journal-title":"Phys Rev E"},{"issue":"6170","key":"10.1016\/j.cnsns.2026.110442_bib0011","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1126\/science.1246957","article-title":"Alu A. Sound isolation and giant linear non-reciprocity in a compact acoustic circulator","volume":"343","author":"Fleury","year":"2014","journal-title":"Science"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110442_bib0012","first-page":"14","article-title":"Non-reciprocal acoustics","volume":"11","author":"Fleury","year":"2015","journal-title":"Acoust Today"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110442_bib0013","doi-asserted-by":"crossref","DOI":"10.1063\/1.5132699","article-title":"Non-reciprocal acoustic transmission via space-time modulated membranes","volume":"116","author":"Zhu","year":"2020","journal-title":"Appl Phys Lett"},{"issue":"102","key":"10.1016\/j.cnsns.2026.110442_bib0014","article-title":"Tunable unidirectional compact acoustic amplifier via space-time modulated membranes","volume":"102","author":"Zhu","year":"2020","journal-title":"Phys Rev B"},{"issue":"13","key":"10.1016\/j.cnsns.2026.110442_bib0015","doi-asserted-by":"crossref","first-page":"2579","DOI":"10.1103\/PhysRevLett.74.2579","article-title":"Interaction of vortex lattice with ultrasound and the acoustic Faraday effect","volume":"74","author":"Dom\u00ednguez","year":"1995","journal-title":"Phys Rev Lett"},{"issue":"1\u20134","key":"10.1016\/j.cnsns.2026.110442_bib0016","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/S0921-4526(99)01503-3","article-title":"Acoustic Faraday effect in superfluid 3He-B","volume":"280","author":"Lee","year":"2000","journal-title":"Physica B"},{"issue":"6","key":"10.1016\/j.cnsns.2026.110442_bib0017","article-title":"Non-reciprocal surface acoustic waves in multilayers with magnetoelastic and interfacial Dzyaloshinskii-Moriya interactions","volume":"9","author":"Roman","year":"2018","journal-title":"Phys Rev Appl"},{"issue":"5","key":"10.1016\/j.cnsns.2026.110442_bib0018","doi-asserted-by":"crossref","first-page":"2331","DOI":"10.1103\/PhysRevApplied.12.054061","article-title":"Wide-band non-reciprocity of surface acoustic waves induced by magnetoelastic coupling with a synthetic antiferromagnet","volume":"12","author":"Verba","year":"2019","journal-title":"Phys Rev Appl"},{"issue":"5","key":"10.1016\/j.cnsns.2026.110442_bib0019","doi-asserted-by":"crossref","DOI":"10.1063\/1.5020698","article-title":"High efficiency and broadband acoustic diodes","volume":"112","author":"Fu","year":"2018","journal-title":"Appl Phys Lett"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110442_bib0020","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1121\/1.5114915","article-title":"Breather arrest, localization, and acoustic non-reciprocity in dissipative nonlinear lattices","volume":"146","author":"Mojahed","year":"2019","journal-title":"J Acoust Soc Am"},{"key":"10.1016\/j.cnsns.2026.110442_bib0021","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.wavemoti.2018.08.005","article-title":"Acoustic diode: wave non-reciprocity in nonlinearly coupled waveguides","volume":"83","author":"Itay","year":"2018","journal-title":"Wave Motion"},{"key":"10.1016\/j.cnsns.2026.110442_bib0022","doi-asserted-by":"crossref","DOI":"10.1016\/j.jsv.2022.117211","article-title":"Machine learning non-reciprocity of a linear waveguide with a local nonlinear, asymmetric case: weak coupling","volume":"537","author":"Wang","year":"2022","journal-title":"J Sound Vib"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110442_bib0023","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1115\/1.1345524","article-title":"Energy pumping in nonlinear mechanical oscillators: part I \u2013 dynamics of the underlying hamiltonian systems","volume":"68","author":"Gendelman","year":"2001","journal-title":"J Appl Mech"},{"issue":"1","key":"10.1016\/j.cnsns.2026.110442_bib0024","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1115\/1.1345525","article-title":"Energy pumping in nonlinear mechanical oscillators: part II \u2013 resonance capture","volume":"68","author":"Vakakis","year":"2001","journal-title":"J Appl Mech"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110442_bib0025","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1115\/1.1368883","article-title":"Inducing passive nonlinear energy sinks in vibrating systems","volume":"123","author":"Vakakis","year":"2001","journal-title":"J Vib Acoust"},{"issue":"11","key":"10.1016\/j.cnsns.2026.110442_bib0026","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1016\/j.crme.2006.08.005","article-title":"Experimental evidence of energy pumping in acoustics","volume":"334","author":"Cochelin","year":"2006","journal-title":"CR Mecanique"},{"issue":"14","key":"10.1016\/j.cnsns.2026.110442_bib0027","doi-asserted-by":"crossref","first-page":"2768","DOI":"10.1016\/j.jsv.2010.01.029","article-title":"Experimental study of targeted energy transfer from an acoustic system to a nonlinear membrane absorber","volume":"329","author":"Bellet","year":"2010","journal-title":"J Sound Vib"},{"issue":"26","key":"10.1016\/j.cnsns.2026.110442_bib0028","doi-asserted-by":"crossref","first-page":"5657","DOI":"10.1016\/j.jsv.2012.07.013","article-title":"Enhancing the dynamic range of targeted energy transfer in acoustics using several nonlinear membrane absorbers","volume":"331","author":"Bellet","year":"2012","journal-title":"J Sound Vib"},{"key":"10.1016\/j.cnsns.2026.110442_bib0029","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.ijnonlinmec.2014.04.008","article-title":"Theoretical and numerical study of targeted energy transfer inside an acoustic cavity by a non-linear membrane absorber","volume":"64","author":"Shao","year":"2014","journal-title":"Int J Nonlin Mech"},{"key":"10.1016\/j.cnsns.2026.110442_bib0030","doi-asserted-by":"crossref","DOI":"10.1016\/j.apacoust.2021.108342","article-title":"Experimental study on influence of wall acoustic materials of 3D cavity for targeted energy transfer of a nonlinear membrane absorber","volume":"184","author":"Shao","year":"2021","journal-title":"Appl Acoust"},{"issue":"10","key":"10.1016\/j.cnsns.2026.110442_bib0031","article-title":"Modeling and experimental study of non-reciprocal acoustic energy transfer in vibro-acoustic duffing oscillator","volume":"71","author":"Jin","year":"2022","journal-title":"Acta Phys Sin-ch Ed"},{"key":"10.1016\/j.cnsns.2026.110442_bib0032","series-title":"Acoustics: an introduction to its physical principles and applications","first-page":"198","author":"Pierce","year":"1981"},{"issue":"4","key":"10.1016\/j.cnsns.2026.110442_bib0033","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1002\/msd2.12099","article-title":"Realization of non-reciprocal acoustic energy transfer using an asymmetric strong nonlinear vibro-acoustic system","volume":"4","author":"Jin","year":"2024","journal-title":"Int J Mech Syst Dyn"},{"issue":"9","key":"10.1016\/j.cnsns.2026.110442_bib0034","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1038\/s41578-020-0206-0","article-title":"Non-reciprocity in acoustic and elastic materials","volume":"5","author":"Nassar","year":"2020","journal-title":"Nat Rev Mater"},{"issue":"3","key":"10.1016\/j.cnsns.2026.110442_bib0035","article-title":"Machine learning non-reciprocity of a linear waveguide with a local nonlinear, asymmetric case: strong coupling","volume":"18","author":"Wang","year":"2023","journal-title":"J Comput Nonlin Dyn"},{"key":"10.1016\/j.cnsns.2026.110442_bib0036","series-title":"Mathematical models of non-linear excitations. transfer, dynamics, and control in condensed systems and other media","article-title":"Complex representation of dynamics of coupled nonlinear oscillators, In:","author":"Manevitch","year":"1999"},{"key":"10.1016\/j.cnsns.2026.110442_bib0037","series-title":"Normal modes and localization in nonlinear systems","author":"Vakakis","year":"1996"},{"key":"10.1016\/j.cnsns.2026.110442_bib0038","series-title":"Passive nonlinear targeted energy transfer in mechanical and structural systems: I and II","author":"Vakakis","year":"2008"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426007963?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426007963?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,27]],"date-time":"2026-06-27T03:41:59Z","timestamp":1782531719000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426007963"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":38,"alternative-id":["S1007570426007963"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110442","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Theoretical and experimental study of non-reciprocal sound transmission in nonlinear asymmetric vibro-acoustic oscillators","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.110442","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"110442"}}