Band structure analysis of a thin plate with periodic arrangements of slender beams
This work analyzes the wave propagation in structures composed of a periodic arrangement of vertical beams rigidly joined to a plate substrate. Three different configurations for the distribution of the beams have been analyzed: square, triangular, and hexagonal. A dimensional analysis of the proble...
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| Veröffentlicht in: | Journal of sound and vibration 2018-04, Vol.420, p.330-345 |
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| container_title | Journal of sound and vibration |
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| creator | Serrano, Ó. Zaera, R. Fernández-Sáez, J. |
| description | This work analyzes the wave propagation in structures composed of a periodic arrangement of vertical beams rigidly joined to a plate substrate. Three different configurations for the distribution of the beams have been analyzed: square, triangular, and hexagonal. A dimensional analysis of the problem indicates the presence of three dimensionless groups of parameters controlling the response of the system. The main features of the wave propagation have been found using numerical procedures based on the Finite Element Method, through the application of the Bloch's theorem for the corresponding primitive unit cells. Illustrative examples of the effect of the different dimensionless parameters on the dynamic behavior of the system are presented, providing information relevant for design. |
| doi_str_mv | 10.1016/j.jsv.2017.11.016 |
| format | Article |
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Three different configurations for the distribution of the beams have been analyzed: square, triangular, and hexagonal. A dimensional analysis of the problem indicates the presence of three dimensionless groups of parameters controlling the response of the system. The main features of the wave propagation have been found using numerical procedures based on the Finite Element Method, through the application of the Bloch's theorem for the corresponding primitive unit cells. Illustrative examples of the effect of the different dimensionless parameters on the dynamic behavior of the system are presented, providing information relevant for design.</description><identifier>ISSN: 0022-460X</identifier><identifier>EISSN: 1095-8568</identifier><identifier>DOI: 10.1016/j.jsv.2017.11.016</identifier><language>eng</language><publisher>Amsterdam: Elsevier Ltd</publisher><subject>Arrays ; Band gap ; Band structure ; Beam arrays ; Beams (structural) ; Bloch's theorem ; Dimensional analysis ; Finite element method ; Lattice structure ; Lattice theory ; Parameters ; Structural analysis ; Substrates ; Theorems ; Thin plates ; Wave propagation</subject><ispartof>Journal of sound and vibration, 2018-04, Vol.420, p.330-345</ispartof><rights>2017 Elsevier Ltd</rights><rights>Copyright Elsevier Science Ltd. 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Three different configurations for the distribution of the beams have been analyzed: square, triangular, and hexagonal. A dimensional analysis of the problem indicates the presence of three dimensionless groups of parameters controlling the response of the system. The main features of the wave propagation have been found using numerical procedures based on the Finite Element Method, through the application of the Bloch's theorem for the corresponding primitive unit cells. Illustrative examples of the effect of the different dimensionless parameters on the dynamic behavior of the system are presented, providing information relevant for design.</description><subject>Arrays</subject><subject>Band gap</subject><subject>Band structure</subject><subject>Beam arrays</subject><subject>Beams (structural)</subject><subject>Bloch's theorem</subject><subject>Dimensional analysis</subject><subject>Finite element method</subject><subject>Lattice structure</subject><subject>Lattice theory</subject><subject>Parameters</subject><subject>Structural analysis</subject><subject>Substrates</subject><subject>Theorems</subject><subject>Thin plates</subject><subject>Wave propagation</subject><issn>0022-460X</issn><issn>1095-8568</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEUxIMoWKsfwFvA864vySZu8KTFf1DwoIK3EJO3Nku7uyZppd_erfXs6cEwv-HNEHLOoGTA1GVbtmlTcmBXJWPlqByQCQMti1qq-pBMADgvKgXvx-QkpRYAdCWqCXm5tZ2nKce1y-uI1HZ2uU0h0b6hluZF6OiwtBnpd8gLOmAMvQ-O2hht94kr7PKvNS2x8xjpB9pVOiVHjV0mPPu7U_J2f_c6eyzmzw9Ps5t54YSqc4G1Bqu19k5xJStdg4CaC19VtRa-YU5K7xsumkY6phRwIbGSQnKuBa8dE1Nysc8dYv-1xpRN26_jWCAZDoqBGKvvXGzvcrFPKWJjhhhWNm4NA7PbzrRm3M7stjOMmVEZmes9g-P7m4DRJBewc-hDRJeN78M_9A8sdHX1</recordid><startdate>20180428</startdate><enddate>20180428</enddate><creator>Serrano, Ó.</creator><creator>Zaera, R.</creator><creator>Fernández-Sáez, J.</creator><general>Elsevier Ltd</general><general>Elsevier Science Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20180428</creationdate><title>Band structure analysis of a thin plate with periodic arrangements of slender beams</title><author>Serrano, Ó. ; Zaera, R. ; Fernández-Sáez, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368t-e890a999dc6265498030823d44893df1c55ddf23ff5c1660235e4535229328c13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Arrays</topic><topic>Band gap</topic><topic>Band structure</topic><topic>Beam arrays</topic><topic>Beams (structural)</topic><topic>Bloch's theorem</topic><topic>Dimensional analysis</topic><topic>Finite element method</topic><topic>Lattice structure</topic><topic>Lattice theory</topic><topic>Parameters</topic><topic>Structural analysis</topic><topic>Substrates</topic><topic>Theorems</topic><topic>Thin plates</topic><topic>Wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Serrano, Ó.</creatorcontrib><creatorcontrib>Zaera, R.</creatorcontrib><creatorcontrib>Fernández-Sáez, J.</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of sound and vibration</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Serrano, Ó.</au><au>Zaera, R.</au><au>Fernández-Sáez, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Band structure analysis of a thin plate with periodic arrangements of slender beams</atitle><jtitle>Journal of sound and vibration</jtitle><date>2018-04-28</date><risdate>2018</risdate><volume>420</volume><spage>330</spage><epage>345</epage><pages>330-345</pages><issn>0022-460X</issn><eissn>1095-8568</eissn><abstract>This work analyzes the wave propagation in structures composed of a periodic arrangement of vertical beams rigidly joined to a plate substrate. 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| ispartof | Journal of sound and vibration, 2018-04, Vol.420, p.330-345 |
| issn | 0022-460X 1095-8568 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Arrays Band gap Band structure Beam arrays Beams (structural) Bloch's theorem Dimensional analysis Finite element method Lattice structure Lattice theory Parameters Structural analysis Substrates Theorems Thin plates Wave propagation |
| title | Band structure analysis of a thin plate with periodic arrangements of slender beams |
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