ANALYSIS AND EXPERIMENT ON TRANSIENT DYNAMIC RESPONSE IN FINITE MINDLIN PLATE
The transient wave propagation in the finite rectangular Mindlin plate is investigated by the analytical and experimental methods. The generalized ray method (GRM) which has been successfully applied to study the transient responses of beams, planar trusses, space frames and infinite layered media i...
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| Veröffentlicht in: | Acta mechanica solida Sinica 2013-04, Vol.26 (2), p.129-139 |
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| creator | Li, Fengming Liu, Chunchuan Liang, Tingwei |
| description | The transient wave propagation in the finite rectangular Mindlin plate is investigated by the analytical and experimental methods. The generalized ray method (GRM) which has been successfully applied to study the transient responses of beams, planar trusses, space frames and infinite layered media is extended to investigate the transient wave propagation and early short time transient response in finite Mindlin plate. Combining the wave solution, the shock source and the boundary conditions, the ray groups transmitted in the finite rectangular plate can be determined. Numerical simulations and experiments are performed and compared with each other. The results show that the transient wave propagation and early short time transient responses in the finite plate can be studied using the GRM. The early short time transient accelerations are very large for the finite plate subjected to the unit impulse, while the early short time transient displacements are very small. The early short time transient accelerations under the unit impulse are much larger than those under the unit step impulse. The thickness and material characteristics have remarkable effects on the early short time transient responses. |
| doi_str_mv | 10.1016/S0894-9166(13)60013-0 |
| format | Article |
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The generalized ray method (GRM) which has been successfully applied to study the transient responses of beams, planar trusses, space frames and infinite layered media is extended to investigate the transient wave propagation and early short time transient response in finite Mindlin plate. Combining the wave solution, the shock source and the boundary conditions, the ray groups transmitted in the finite rectangular plate can be determined. Numerical simulations and experiments are performed and compared with each other. The results show that the transient wave propagation and early short time transient responses in the finite plate can be studied using the GRM. The early short time transient accelerations are very large for the finite plate subjected to the unit impulse, while the early short time transient displacements are very small. The early short time transient accelerations under the unit impulse are much larger than those under the unit step impulse. The thickness and material characteristics have remarkable effects on the early short time transient responses.</description><identifier>ISSN: 0894-9166</identifier><identifier>EISSN: 1860-2134</identifier><identifier>DOI: 10.1016/S0894-9166(13)60013-0</identifier><language>eng</language><publisher>Singapore: Elsevier Ltd</publisher><subject>Acceleration ; Beams (radiation) ; Classical Mechanics ; early short time transient response ; Engineering ; finite Mindlin plate ; generalized ray method ; Impulses ; Mathematical analysis ; Mathematical models ; Mindlin plates ; Mindlin板 ; Surfaces and Interfaces ; Theoretical and Applied Mechanics ; Thin Films ; Transient responses ; transient wave propagation ; Wave propagation ; 动力响应分析 ; 单位脉冲 ; 实验 ; 平面桁架 ; 广义射线法 ; 时间单位 ; 瞬态响应</subject><ispartof>Acta mechanica solida Sinica, 2013-04, Vol.26 (2), p.129-139</ispartof><rights>2013 The Chinese Society of Theoretical and Applied Mechanics</rights><rights>The Chinese Society of Theoretical and Applied Mechanics and Technology 2013</rights><rights>Copyright © Wanfang Data Co. Ltd. All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c449t-c1260fe82452a30f1e6d478c4d564d61ba44098d6ac95e79cab7987c571111093</citedby><cites>FETCH-LOGICAL-c449t-c1260fe82452a30f1e6d478c4d564d61ba44098d6ac95e79cab7987c571111093</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/87045X/87045X.jpg</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1016/S0894-9166(13)60013-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0894916613600130$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27903,27904,41467,42536,51297,65309</link.rule.ids></links><search><creatorcontrib>Li, Fengming</creatorcontrib><creatorcontrib>Liu, Chunchuan</creatorcontrib><creatorcontrib>Liang, Tingwei</creatorcontrib><title>ANALYSIS AND EXPERIMENT ON TRANSIENT DYNAMIC RESPONSE IN FINITE MINDLIN PLATE</title><title>Acta mechanica solida Sinica</title><addtitle>Acta Mech. Solida Sin</addtitle><addtitle>Acta Mechanica Solida Sinica</addtitle><description>The transient wave propagation in the finite rectangular Mindlin plate is investigated by the analytical and experimental methods. The generalized ray method (GRM) which has been successfully applied to study the transient responses of beams, planar trusses, space frames and infinite layered media is extended to investigate the transient wave propagation and early short time transient response in finite Mindlin plate. Combining the wave solution, the shock source and the boundary conditions, the ray groups transmitted in the finite rectangular plate can be determined. Numerical simulations and experiments are performed and compared with each other. The results show that the transient wave propagation and early short time transient responses in the finite plate can be studied using the GRM. The early short time transient accelerations are very large for the finite plate subjected to the unit impulse, while the early short time transient displacements are very small. The early short time transient accelerations under the unit impulse are much larger than those under the unit step impulse. The thickness and material characteristics have remarkable effects on the early short time transient responses.</description><subject>Acceleration</subject><subject>Beams (radiation)</subject><subject>Classical Mechanics</subject><subject>early short time transient response</subject><subject>Engineering</subject><subject>finite Mindlin plate</subject><subject>generalized ray method</subject><subject>Impulses</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mindlin plates</subject><subject>Mindlin板</subject><subject>Surfaces and Interfaces</subject><subject>Theoretical and Applied Mechanics</subject><subject>Thin Films</subject><subject>Transient responses</subject><subject>transient wave propagation</subject><subject>Wave propagation</subject><subject>动力响应分析</subject><subject>单位脉冲</subject><subject>实验</subject><subject>平面桁架</subject><subject>广义射线法</subject><subject>时间单位</subject><subject>瞬态响应</subject><issn>0894-9166</issn><issn>1860-2134</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFkE9v0zAYhy0EEmXsIyCF23YIvI4dxz6hqM3AUupWTZDYyXIdp2Tqki1uYXx73GXajvPFeqXn9_55EPqE4QsGzL5WwAWNBWbsApNLBoBJDG_QDHMGcYIJfYtmz8h79MH7G4AECE9maJmrvLyuZBXlahEVv9bFRi4LVUcrFdWbXFXyVCyuVb6U82hTVOuVqopIquhKKlkX0VKqRRnKdZnXxUf0rjV7786f_jP086qo5z_icvVdzvMytpSKQ2xxwqB1PKFpYgi02LGGZtzSJmW0YXhrKAXBG2asSF0mrNlmgmc2zXB4IMgZupz6_jV9a_qdvhmOYx8m6t1h__Cw1S4JEsKNQAJ7MbF343B_dP6gbztv3X5vejccvcYkSxjhImUBTSfUjoP3o2v13djdmvGfxqBPqvWjan3yGHL6UbWGkGNTzge-37nxZZ_Xgt-moAuy_nQh6G3neuuabnT2oJuhe7XD56eVfw_97j5Mf96ZpkwQmnLyH90rmIg</recordid><startdate>20130401</startdate><enddate>20130401</enddate><creator>Li, Fengming</creator><creator>Liu, Chunchuan</creator><creator>Liang, Tingwei</creator><general>Elsevier Ltd</general><general>Springer Singapore</general><general>College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China%P.O.Box 137, School of Astronautics, Harbin Institute of Technology, Harbin 150001, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20130401</creationdate><title>ANALYSIS AND EXPERIMENT ON TRANSIENT DYNAMIC RESPONSE IN FINITE MINDLIN PLATE</title><author>Li, Fengming ; Liu, Chunchuan ; Liang, Tingwei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c449t-c1260fe82452a30f1e6d478c4d564d61ba44098d6ac95e79cab7987c571111093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Acceleration</topic><topic>Beams (radiation)</topic><topic>Classical Mechanics</topic><topic>early short time transient response</topic><topic>Engineering</topic><topic>finite Mindlin plate</topic><topic>generalized ray method</topic><topic>Impulses</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mindlin plates</topic><topic>Mindlin板</topic><topic>Surfaces and Interfaces</topic><topic>Theoretical and Applied Mechanics</topic><topic>Thin Films</topic><topic>Transient responses</topic><topic>transient wave propagation</topic><topic>Wave propagation</topic><topic>动力响应分析</topic><topic>单位脉冲</topic><topic>实验</topic><topic>平面桁架</topic><topic>广义射线法</topic><topic>时间单位</topic><topic>瞬态响应</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Fengming</creatorcontrib><creatorcontrib>Liu, Chunchuan</creatorcontrib><creatorcontrib>Liang, Tingwei</creatorcontrib><collection>维普_期刊</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Acta mechanica solida Sinica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Fengming</au><au>Liu, Chunchuan</au><au>Liang, Tingwei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>ANALYSIS AND EXPERIMENT ON TRANSIENT DYNAMIC RESPONSE IN FINITE MINDLIN PLATE</atitle><jtitle>Acta mechanica solida Sinica</jtitle><stitle>Acta Mech. Solida Sin</stitle><addtitle>Acta Mechanica Solida Sinica</addtitle><date>2013-04-01</date><risdate>2013</risdate><volume>26</volume><issue>2</issue><spage>129</spage><epage>139</epage><pages>129-139</pages><issn>0894-9166</issn><eissn>1860-2134</eissn><abstract>The transient wave propagation in the finite rectangular Mindlin plate is investigated by the analytical and experimental methods. The generalized ray method (GRM) which has been successfully applied to study the transient responses of beams, planar trusses, space frames and infinite layered media is extended to investigate the transient wave propagation and early short time transient response in finite Mindlin plate. Combining the wave solution, the shock source and the boundary conditions, the ray groups transmitted in the finite rectangular plate can be determined. Numerical simulations and experiments are performed and compared with each other. The results show that the transient wave propagation and early short time transient responses in the finite plate can be studied using the GRM. The early short time transient accelerations are very large for the finite plate subjected to the unit impulse, while the early short time transient displacements are very small. The early short time transient accelerations under the unit impulse are much larger than those under the unit step impulse. The thickness and material characteristics have remarkable effects on the early short time transient responses.</abstract><cop>Singapore</cop><pub>Elsevier Ltd</pub><doi>10.1016/S0894-9166(13)60013-0</doi><tpages>11</tpages></addata></record> |
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| subjects | Acceleration Beams (radiation) Classical Mechanics early short time transient response Engineering finite Mindlin plate generalized ray method Impulses Mathematical analysis Mathematical models Mindlin plates Mindlin板 Surfaces and Interfaces Theoretical and Applied Mechanics Thin Films Transient responses transient wave propagation Wave propagation 动力响应分析 单位脉冲 实验 平面桁架 广义射线法 时间单位 瞬态响应 |
| title | ANALYSIS AND EXPERIMENT ON TRANSIENT DYNAMIC RESPONSE IN FINITE MINDLIN PLATE |
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