Elastic dynamic analysis of moderately thick plate using meshless LRPIM
A meshless local radial point interpolation method (LRPIM) for solving elastic dynamic problems of moderately thick plates is presented in this paper. The discretized system equation of the plate is obtained using a locally weighted residual method. It uses a radial basis function (RBF) coupled with...
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| Veröffentlicht in: | Acta mechanica solida Sinica 2009-04, Vol.22 (2), p.116-124 |
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| container_title | Acta mechanica solida Sinica |
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| creator | Xia, Ping Long, Shuyao Cui, Hongxue |
| description | A meshless local radial point interpolation method (LRPIM) for solving elastic dynamic problems of moderately thick plates is presented in this paper. The discretized system equation of the plate is obtained using a locally weighted residual method. It uses a radial basis function (RBF) coupled with a polynomial basis function as a trial function, and uses the quartic spline function as a test function of the weighted residual method. The shape function has the properties of the Kronecker delta function, and no additional treatment is done to impose essential boundary conditions. The Newmark method for solving the dynamic problem is adopted in computation. Effects of sizes of the quadrature sub-domain and influence domain on the dynamic properties are investigated. The numerical results show that the presented method can give quite accurate results for the elastic dynamic problem of the moderately thick plate. |
| doi_str_mv | 10.1016/S0894-9166(09)60096-3 |
| format | Article |
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The discretized system equation of the plate is obtained using a locally weighted residual method. It uses a radial basis function (RBF) coupled with a polynomial basis function as a trial function, and uses the quartic spline function as a test function of the weighted residual method. The shape function has the properties of the Kronecker delta function, and no additional treatment is done to impose essential boundary conditions. The Newmark method for solving the dynamic problem is adopted in computation. Effects of sizes of the quadrature sub-domain and influence domain on the dynamic properties are investigated. The numerical results show that the presented method can give quite accurate results for the elastic dynamic problem of the moderately thick plate.</description><identifier>ISSN: 0894-9166</identifier><identifier>EISSN: 1860-2134</identifier><identifier>DOI: 10.1016/S0894-9166(09)60096-3</identifier><language>eng</language><publisher>Singapore: Elsevier Ltd</publisher><subject>Classical Mechanics ; dynamic analysis ; Engineering ; local radial point interpolation method ; meshless method ; moderately thick plate ; Newmark method ; Surfaces and Interfaces ; Theoretical and Applied Mechanics ; Thin Films</subject><ispartof>Acta mechanica solida Sinica, 2009-04, Vol.22 (2), p.116-124</ispartof><rights>2009 The Chinese Society of Theoretical and Applied Mechanics</rights><rights>The Chinese Society of Theoretical and Applied Mechanics and Technology 2009</rights><rights>Copyright © Wanfang Data Co. Ltd. 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Solida Sin</addtitle><description>A meshless local radial point interpolation method (LRPIM) for solving elastic dynamic problems of moderately thick plates is presented in this paper. The discretized system equation of the plate is obtained using a locally weighted residual method. It uses a radial basis function (RBF) coupled with a polynomial basis function as a trial function, and uses the quartic spline function as a test function of the weighted residual method. The shape function has the properties of the Kronecker delta function, and no additional treatment is done to impose essential boundary conditions. The Newmark method for solving the dynamic problem is adopted in computation. Effects of sizes of the quadrature sub-domain and influence domain on the dynamic properties are investigated. The numerical results show that the presented method can give quite accurate results for the elastic dynamic problem of the moderately thick plate.</description><subject>Classical Mechanics</subject><subject>dynamic analysis</subject><subject>Engineering</subject><subject>local radial point interpolation method</subject><subject>meshless method</subject><subject>moderately thick plate</subject><subject>Newmark method</subject><subject>Surfaces and Interfaces</subject><subject>Theoretical and Applied Mechanics</subject><subject>Thin Films</subject><issn>0894-9166</issn><issn>1860-2134</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNqFkMtOwzAQRS0EEqXwCUhe0kVg8nKSFUIVlEpFIB5ry3bGqUuaVHEKzd_jNAiWXY1Gumceh5BLH6598NnNG6RZ5GU-Y1eQTRhAxrzwiIz8lIEX-GF0TEZ_kVNyZu0KIIAwDUZkdl8K2xpF864Sa1dFJcrOGktrTdd1jo1osexouzTqk25K19GtNVVB12iXJVpLF68v86dzcqJFafHit47Jx8P9-_TRWzzP5tO7hafCDFovTRCFSFUidRIA6jyTyFgsRQIoExYoEKiCHESkmYq1VCpiEkQuQUYyjsNwTCbD3G9RaVEVfFVvG3ey5UVb7naSY-D-d99Bn42HrGpqaxvUfNOYtWg67gPvzfG9Od5r4ZDxvTnec2zgrMtXBTb_Sw6BtwOIzsCXcaBVBiuFuWlQtTyvzYEJP4R3h8M</recordid><startdate>20090401</startdate><enddate>20090401</enddate><creator>Xia, Ping</creator><creator>Long, Shuyao</creator><creator>Cui, Hongxue</creator><general>Elsevier Ltd</general><general>Springer Singapore</general><general>College of Mechanics and Aerospace Engineering, Hunan University, Changsha, 410082, China</general><general>State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha, 410082, China</general><general>Department of Mechanical Engineering, Hunan Insti%State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha, 410082, China</general><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20090401</creationdate><title>Elastic dynamic analysis of moderately thick plate using meshless LRPIM</title><author>Xia, Ping ; Long, Shuyao ; Cui, Hongxue</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c390t-87eeaa8c7bf720efd9be665ba70eb762c0aec2d0a4f6c5fbcc46b0adb0b4b5533</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Classical Mechanics</topic><topic>dynamic analysis</topic><topic>Engineering</topic><topic>local radial point interpolation method</topic><topic>meshless method</topic><topic>moderately thick plate</topic><topic>Newmark method</topic><topic>Surfaces and Interfaces</topic><topic>Theoretical and Applied Mechanics</topic><topic>Thin Films</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xia, Ping</creatorcontrib><creatorcontrib>Long, Shuyao</creatorcontrib><creatorcontrib>Cui, Hongxue</creatorcontrib><collection>CrossRef</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>Xia, Ping</au><au>Long, Shuyao</au><au>Cui, Hongxue</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Elastic dynamic analysis of moderately thick plate using meshless LRPIM</atitle><jtitle>Acta mechanica solida Sinica</jtitle><stitle>Acta Mech. Solida Sin</stitle><date>2009-04-01</date><risdate>2009</risdate><volume>22</volume><issue>2</issue><spage>116</spage><epage>124</epage><pages>116-124</pages><issn>0894-9166</issn><eissn>1860-2134</eissn><abstract>A meshless local radial point interpolation method (LRPIM) for solving elastic dynamic problems of moderately thick plates is presented in this paper. The discretized system equation of the plate is obtained using a locally weighted residual method. It uses a radial basis function (RBF) coupled with a polynomial basis function as a trial function, and uses the quartic spline function as a test function of the weighted residual method. The shape function has the properties of the Kronecker delta function, and no additional treatment is done to impose essential boundary conditions. The Newmark method for solving the dynamic problem is adopted in computation. Effects of sizes of the quadrature sub-domain and influence domain on the dynamic properties are investigated. The numerical results show that the presented method can give quite accurate results for the elastic dynamic problem of the moderately thick plate.</abstract><cop>Singapore</cop><pub>Elsevier Ltd</pub><doi>10.1016/S0894-9166(09)60096-3</doi><tpages>9</tpages></addata></record> |
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| ispartof | Acta mechanica solida Sinica, 2009-04, Vol.22 (2), p.116-124 |
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| source | SpringerNature Journals; Access via ScienceDirect (Elsevier); Alma/SFX Local Collection |
| subjects | Classical Mechanics dynamic analysis Engineering local radial point interpolation method meshless method moderately thick plate Newmark method Surfaces and Interfaces Theoretical and Applied Mechanics Thin Films |
| title | Elastic dynamic analysis of moderately thick plate using meshless LRPIM |
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