{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:35:11Z","timestamp":1760236511320,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2021,11,26]],"date-time":"2021-11-26T00:00:00Z","timestamp":1637884800000},"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":["51809027"],"award-info":[{"award-number":["51809027"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The general dynamic characteristics of the acoustic cavity with multiple partial partitions are presented in this thesis. A theoretical model has been developed for predictions, and several configurations are analyzed. To describe the apertures on the interface of subcavities, the virtual air panel assumption is introduced into the improved Fourier series system. The governing equations of the coupling system are derived by using the energy principle. The results obtained with the proposed model are firstly compared with the numerical calculations based on the finite element method (FEM). Subsequently, a configuration made up from a rigid cavity partitioned by a partial steel panel has been specifically built, and the forced responses of the coupling system have been measured for comparison and model validation. The present results are excellent over most of the studied frequency range. Furthermore, the visualizations of the interior sound intensity field of the acoustic cavity with three partial partitions under different frequencies are researched to illustrate the energy transmission paths and vibro-acoustic coupling mechanism of the complicated system. The obtained results are believed to be helpful in the optimal design of the vibro-acoustic coupling system with optimal sound insulation capacity.<\/jats:p>","DOI":"10.3390\/sym13122257","type":"journal-article","created":{"date-parts":[[2021,12,1]],"date-time":"2021-12-01T03:12:40Z","timestamp":1638328360000},"page":"2257","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Vibro-Acoustic Energy Transmission Analysis of the Acoustic Cavity with Multiple Partial Partitions"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9894-7734","authenticated-orcid":false,"given":"Yufei","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Marine Engineering, Dalian Maritime University, Dalian 116026, China"}]},{"given":"Jingtao","family":"Du","sequence":"additional","affiliation":[{"name":"College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China"}]},{"given":"Yang","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,11,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"476","DOI":"10.2514\/3.1568","article-title":"The effect of a cavity on panel vibration","volume":"1","author":"Dowell","year":"1963","journal-title":"AIAA J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2098","DOI":"10.1121\/1.399555","article-title":"Active control of noise transmission through a panel into a cavity: I. Analytical study","volume":"87","author":"Pan","year":"1990","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1488","DOI":"10.1121\/1.401887","article-title":"Active control of noise transmission through a panel into a cavity: II. Experimental study","volume":"90","author":"Pan","year":"1991","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1121\/1.421208","article-title":"An analytical model for bandlimited response of acoustic-structural coupled systems. I. Direct sound field excitation","volume":"103","author":"Sum","year":"1998","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1510","DOI":"10.1121\/1.421288","article-title":"A study of the medium frequency response of sound field in a panel-cavity system","volume":"103","author":"Sum","year":"1998","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2137","DOI":"10.1121\/1.4977751","article-title":"Convergence criteria on the acoustic velocity continuity in a panel-cavity system","volume":"141","author":"Hu","year":"2017","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1006\/jsvi.1998.2096","article-title":"A compact matrix formulation using the impedance and mobility approach for the analysis of structural-acoustic systems","volume":"223","author":"Kim","year":"1999","journal-title":"J. Sound Vib."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"739","DOI":"10.1016\/j.apacoust.2006.04.005","article-title":"Vibro-acoustic analysis of a rectangular-like cavity with a tilted wall","volume":"68","author":"Li","year":"2007","journal-title":"Appl. Acoust."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3312","DOI":"10.1121\/1.1823331","article-title":"Modifications of acoustic modes and coupling due to a leaning wall in a rectangular cavity","volume":"116","author":"Li","year":"2004","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2799","DOI":"10.1121\/1.3693652","article-title":"Vibro-acoustic analysis of a rectangular cavity bounded by a flexible panel with elastically restrained edges","volume":"131","author":"Du","year":"2012","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/s42417-019-00122-3","article-title":"Structural\u2013acoustic modeling and analysis for a flexible partition panel in three-dimensional acoustic cavity","volume":"7","author":"Zhang","year":"2019","journal-title":"J. Vib. Eng. Technol."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/j.jsv.2016.03.003","article-title":"A variational formulation for vibro-acoustic analysis of a panel backed by an irregularly-bounded cavity","volume":"373","author":"Xie","year":"2016","journal-title":"J. Sound Vib."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1121\/1.1906389","article-title":"The diffraction of sound by circular disks and apertures","volume":"20","author":"Spence","year":"1948","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2719","DOI":"10.1121\/1.427033","article-title":"Diffraction of an acoustic plane wave by a rectangular hole in an infinitely large rigid screen","volume":"106","author":"Hongo","year":"1999","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1121\/1.1909325","article-title":"Approximation to the diffraction of sound by a circular aperture in a rigid wall of finite thickness","volume":"37","author":"Wilson","year":"1965","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1121\/1.1970289","article-title":"Sound transmission through rectangular slots of finite depth between reverberant rooms","volume":"44","author":"Sauter","year":"1968","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1121\/1.417971","article-title":"Acoustic scattering from a rectangular aperture in a thick hard screen","volume":"101","author":"Park","year":"1997","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1121\/1.2735109","article-title":"On the modeling of the diffuse field sound transmission loss of finite thickness apertures","volume":"122","author":"Sgard","year":"2007","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1121\/1.3003084","article-title":"Sound transmission loss of rectangular and slit-shaped apertures: Experimental results and correlation with a modal model","volume":"125","author":"Trompette","year":"2009","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1612","DOI":"10.1121\/1.400320","article-title":"The solution of coupled interior\/exterior acoustic problems using the boundary element method","volume":"88","author":"Seybert","year":"1990","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1121\/1.1430684","article-title":"Radiation impedance matrices for rectangular interfaces within rigid baffles: Calculation methodology and applications","volume":"111","author":"Pierce","year":"2002","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1458","DOI":"10.1121\/1.4788996","article-title":"Plenum window insertion loss in the presence of a line source-a scale model study","volume":"133","author":"Tong","year":"2013","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1121\/1.3596465","article-title":"Sound radiation from an aperture in a rectangular enclosure under low modal conditions","volume":"130","author":"Romeu","year":"2011","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1265","DOI":"10.1016\/j.jsv.2012.09.044","article-title":"Modal-based prediction of sound transmission through slits and openings between rooms","volume":"332","year":"2013","journal-title":"J. Sound Vib."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1121\/1.1320476","article-title":"Structural-acoustic coupling in a partially opened plate-cavity system: Experimental observation by using nearfield acoustic holography","volume":"109","author":"Kim","year":"2001","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1006\/jsvi.2001.3938","article-title":"Solution of coupled acoustic problems: A partially opened cavity coupled with a membrane and a semi-infinite exterior field","volume":"254","author":"Kim","year":"2002","journal-title":"J. Sound Vib."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1121\/1.1925850","article-title":"Directional radiation pattern in structural-acoustic coupled system","volume":"118","author":"Seo","year":"2005","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2785","DOI":"10.1121\/1.4870707","article-title":"On the modeling of sound transmission through a mixed separation of flexible structure with an aperture","volume":"135","author":"Yu","year":"2014","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"659","DOI":"10.1121\/1.4887442","article-title":"Modeling vibroacoustic systems involving cascade open cavities and micro-perforated panels","volume":"136","author":"Yu","year":"2014","journal-title":"J. Acoust. Soc. 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