Sound Attenuation of Membranes Loaded with Square Frame-Shaped Masses
This study examines sound transmission of thin membranes with square frame-shaped masses. Numerical results indicate that multiple transmission loss peaks can be generated by adding more frame mass inclusions. The number and the location of the peaks are controlled by the number of frames, the frame...
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| Veröffentlicht in: | Mathematical Problems in Engineering 2016-01, Vol.2016 (2016), p.1133-1143 |
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| creator | Chen, J. S. Kao, D. W. |
| description | This study examines sound transmission of thin membranes with square frame-shaped masses. Numerical results indicate that multiple transmission loss peaks can be generated by adding more frame mass inclusions. The number and the location of the peaks are controlled by the number of frames, the frame distribution, and the frame width. Near the transmission loss peak frequencies, the dynamic effective mass density turns from positive to negative. The validity of the present model has been verified by comparing the analytical results with FE results. Two types of cell arrangements are also considered in this study, namely, cells in series and cells in array. It is seen that either the stacked or array configurations can produce better sound attenuation than single-celled structures. Moreover, the frequency band where sound wave is blocked can be broadened by stacking more layers with different mass magnitudes. Furthermore, additional frequency bands due to the periodicity of the structure are found in the stacked configurations. |
| doi_str_mv | 10.1155/2016/1740236 |
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S. ; Kao, D. W.</creator><contributor>Chagnon, Gregory</contributor><creatorcontrib>Chen, J. S. ; Kao, D. W. ; Chagnon, Gregory</creatorcontrib><description>This study examines sound transmission of thin membranes with square frame-shaped masses. Numerical results indicate that multiple transmission loss peaks can be generated by adding more frame mass inclusions. The number and the location of the peaks are controlled by the number of frames, the frame distribution, and the frame width. Near the transmission loss peak frequencies, the dynamic effective mass density turns from positive to negative. The validity of the present model has been verified by comparing the analytical results with FE results. Two types of cell arrangements are also considered in this study, namely, cells in series and cells in array. It is seen that either the stacked or array configurations can produce better sound attenuation than single-celled structures. Moreover, the frequency band where sound wave is blocked can be broadened by stacking more layers with different mass magnitudes. Furthermore, additional frequency bands due to the periodicity of the structure are found in the stacked configurations.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2016/1740236</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Limiteds</publisher><subject>Arrays ; Banded structure ; Configurations ; Frames ; Frequency bands ; Inclusions ; Mathematical models ; Mathematical problems ; Membranes ; Peak frequency ; Sound attenuation ; Sound transmission ; Sound waves ; Studies ; Transmission loss ; Wave attenuation</subject><ispartof>Mathematical Problems in Engineering, 2016-01, Vol.2016 (2016), p.1133-1143</ispartof><rights>Copyright © 2016 J. S. Chen and D. W. Kao.</rights><rights>Copyright © 2016 J. S. Chen and D. W. Kao. 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Moreover, the frequency band where sound wave is blocked can be broadened by stacking more layers with different mass magnitudes. Furthermore, additional frequency bands due to the periodicity of the structure are found in the stacked configurations.</description><subject>Arrays</subject><subject>Banded structure</subject><subject>Configurations</subject><subject>Frames</subject><subject>Frequency bands</subject><subject>Inclusions</subject><subject>Mathematical models</subject><subject>Mathematical problems</subject><subject>Membranes</subject><subject>Peak frequency</subject><subject>Sound attenuation</subject><subject>Sound transmission</subject><subject>Sound waves</subject><subject>Studies</subject><subject>Transmission loss</subject><subject>Wave attenuation</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqFkctLxDAQxoso-Lx5loIXQauZPJrsUcQXrA9YBW9l2kzZyG67Ji3if29qBdGLOcxkkh9fPr4kyT6wUwClzjiD_Ay0ZFzka8kWqFxkCqRej3vGZQZcvGwm2yG8MsZBgdlKLmdt39j0vOuo6bFzbZO2dXpHy9JjQyGdtmjJpu-um6eztx49pVcel5TN5riKF3cYAoXdZKPGRaC9776TPF9dPl3cZNOH69uL82mGMpddRpMJxxIYGQucOFVY1aBryaQGU1qLSgmqSsbLCqy0pMTEKJyUnMVDlEbsJEej7sq3bz2Frli6UNFiEb22fSjAQM5AGs4ievgHfW1730R3BWhjorDmOlInI1X5NgRPdbHybon-owBWDJkWQ6bFd6YRPx7xuWssvrv_6IORpshQjT90XNoMr9-PADrvOvfj8HHQGaD4T1-a8NU0AGeMAfweAISIRQrxCfC0k1U</recordid><startdate>20160101</startdate><enddate>20160101</enddate><creator>Chen, J. 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S.</au><au>Kao, D. W.</au><au>Chagnon, Gregory</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Sound Attenuation of Membranes Loaded with Square Frame-Shaped Masses</atitle><jtitle>Mathematical Problems in Engineering</jtitle><date>2016-01-01</date><risdate>2016</risdate><volume>2016</volume><issue>2016</issue><spage>1133</spage><epage>1143</epage><pages>1133-1143</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>This study examines sound transmission of thin membranes with square frame-shaped masses. Numerical results indicate that multiple transmission loss peaks can be generated by adding more frame mass inclusions. The number and the location of the peaks are controlled by the number of frames, the frame distribution, and the frame width. Near the transmission loss peak frequencies, the dynamic effective mass density turns from positive to negative. The validity of the present model has been verified by comparing the analytical results with FE results. Two types of cell arrangements are also considered in this study, namely, cells in series and cells in array. It is seen that either the stacked or array configurations can produce better sound attenuation than single-celled structures. Moreover, the frequency band where sound wave is blocked can be broadened by stacking more layers with different mass magnitudes. Furthermore, additional frequency bands due to the periodicity of the structure are found in the stacked configurations.</abstract><cop>Cairo, Egypt</cop><pub>Hindawi Limiteds</pub><doi>10.1155/2016/1740236</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Wiley Online Library (Open Access Collection); Alma/SFX Local Collection |
| subjects | Arrays Banded structure Configurations Frames Frequency bands Inclusions Mathematical models Mathematical problems Membranes Peak frequency Sound attenuation Sound transmission Sound waves Studies Transmission loss Wave attenuation |
| title | Sound Attenuation of Membranes Loaded with Square Frame-Shaped Masses |
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