A-posteriori error estimation for second order mechanical systems
One important issue for the simulation of flexible multibody systems is the reduction of the flexible bodies de- grees of freedom. As far as safety questions are concerned knowledge about the error introduced by the reduction of the flexible degrees of freedom is helpful and very important. In this...
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| Veröffentlicht in: | Acta mechanica Sinica 2012-06, Vol.28 (3), p.854-862 |
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| container_title | Acta mechanica Sinica |
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| creator | Ruiner, Thomas Fehr, Jörg Haasdonk, Bernard Eberhard, Peter |
| description | One important issue for the simulation of flexible multibody systems is the reduction of the flexible bodies de- grees of freedom. As far as safety questions are concerned knowledge about the error introduced by the reduction of the flexible degrees of freedom is helpful and very important. In this work, an a-posteriori error estimator for linear first order systems is extended for error estimation of me- chanical second order systems. Due to the special second order structure of mechanical systems, an improvement of the a-posteriori error estimator is achieved. A major advan- tage of the a-posteriori error estimator is that the estimator is independent of the used reduction technique. Therefore, it can be used for moment-matching based, Gramian matrices based or modal based model reduction techniques. The capability of the proposed technique is demon- strated by the a-posteriori error estimation of a mechanical system, and a sensitivity analysis of the parameters involved in the error estimation process is conducted. |
| doi_str_mv | 10.1007/s10409-012-0114-7 |
| format | Article |
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As far as safety questions are concerned knowledge about the error introduced by the reduction of the flexible degrees of freedom is helpful and very important. In this work, an a-posteriori error estimator for linear first order systems is extended for error estimation of me- chanical second order systems. Due to the special second order structure of mechanical systems, an improvement of the a-posteriori error estimator is achieved. A major advan- tage of the a-posteriori error estimator is that the estimator is independent of the used reduction technique. Therefore, it can be used for moment-matching based, Gramian matrices based or modal based model reduction techniques. 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As far as safety questions are concerned knowledge about the error introduced by the reduction of the flexible degrees of freedom is helpful and very important. In this work, an a-posteriori error estimator for linear first order systems is extended for error estimation of me- chanical second order systems. Due to the special second order structure of mechanical systems, an improvement of the a-posteriori error estimator is achieved. A major advan- tage of the a-posteriori error estimator is that the estimator is independent of the used reduction technique. Therefore, it can be used for moment-matching based, Gramian matrices based or modal based model reduction techniques. The capability of the proposed technique is demon- strated by the a-posteriori error estimation of a mechanical system, and a sensitivity analysis of the parameters involved in the error estimation process is conducted.</description><subject>Classical and Continuum Physics</subject><subject>Computational Intelligence</subject><subject>Degrees of freedom</subject><subject>Engineering</subject><subject>Engineering Fluid Dynamics</subject><subject>Error analysis</subject><subject>Error detection</subject><subject>Errors</subject><subject>Estimators</subject><subject>Mathematical analysis</subject><subject>Mechanical systems</subject><subject>Reduction</subject><subject>Research Paper</subject><subject>Theoretical and Applied Mechanics</subject><subject>二阶系统</subject><subject>后验误差估计</subject><subject>安全问题</subject><subject>敏感性分析</subject><subject>机械系统</subject><subject>柔性多体系统</subject><subject>模型降阶</subject><subject>线性系统</subject><issn>0567-7718</issn><issn>1614-3116</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EEqXwA9jCxmLwxY4dj1XFl1SJpbvlOpc2VWK3djr032OUipHhdHfS-9zHS8gjsBdgTL0mYIJpyqDMAYKqKzIDmQsOIK_JjFVSUaWgviV3Ke0Z4xIUzMhiQQ8hjRi7ELsCYwyxwDR2gx274Is2twld8E0RYoOxGNDtrO-c7Yt0ztyQ7slNa_uED5c8J-v3t_Xyk66-P76WixV1XKiRKmelwhY1Qo0N21jNq9oyYFzLpmnRCgaiAY0lbkoH0pW6ASFdrSotLPA5eZ7GHmI4nvKJZuiSw763HsMpGZAKOK_ytCyFSepiSCliaw4xPxTPBpj5dctMbpnslvl1y6jMlBOTstZvMZp9OEWfH_oXeros2gW_PWbub5MolVQ6H_MDEeh4UQ</recordid><startdate>20120601</startdate><enddate>20120601</enddate><creator>Ruiner, Thomas</creator><creator>Fehr, Jörg</creator><creator>Haasdonk, Bernard</creator><creator>Eberhard, Peter</creator><general>The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20120601</creationdate><title>A-posteriori error estimation for second order mechanical systems</title><author>Ruiner, Thomas ; Fehr, Jörg ; Haasdonk, Bernard ; Eberhard, Peter</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c347t-7ca67efe9e18ed0ba9358a010396ddfea4014d19e2eb2c16c29d146c87594a13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Classical and Continuum Physics</topic><topic>Computational Intelligence</topic><topic>Degrees of freedom</topic><topic>Engineering</topic><topic>Engineering Fluid Dynamics</topic><topic>Error analysis</topic><topic>Error detection</topic><topic>Errors</topic><topic>Estimators</topic><topic>Mathematical analysis</topic><topic>Mechanical systems</topic><topic>Reduction</topic><topic>Research Paper</topic><topic>Theoretical and Applied Mechanics</topic><topic>二阶系统</topic><topic>后验误差估计</topic><topic>安全问题</topic><topic>敏感性分析</topic><topic>机械系统</topic><topic>柔性多体系统</topic><topic>模型降阶</topic><topic>线性系统</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ruiner, Thomas</creatorcontrib><creatorcontrib>Fehr, Jörg</creatorcontrib><creatorcontrib>Haasdonk, Bernard</creatorcontrib><creatorcontrib>Eberhard, Peter</creatorcontrib><collection>中文科技期刊数据库</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>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Acta mechanica Sinica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ruiner, Thomas</au><au>Fehr, Jörg</au><au>Haasdonk, Bernard</au><au>Eberhard, Peter</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A-posteriori error estimation for second order mechanical systems</atitle><jtitle>Acta mechanica Sinica</jtitle><stitle>Acta Mech Sin</stitle><addtitle>Acta Mechanica Sinica</addtitle><date>2012-06-01</date><risdate>2012</risdate><volume>28</volume><issue>3</issue><spage>854</spage><epage>862</epage><pages>854-862</pages><issn>0567-7718</issn><eissn>1614-3116</eissn><abstract>One important issue for the simulation of flexible multibody systems is the reduction of the flexible bodies de- grees of freedom. 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| subjects | Classical and Continuum Physics Computational Intelligence Degrees of freedom Engineering Engineering Fluid Dynamics Error analysis Error detection Errors Estimators Mathematical analysis Mechanical systems Reduction Research Paper Theoretical and Applied Mechanics 二阶系统 后验误差估计 安全问题 敏感性分析 机械系统 柔性多体系统 模型降阶 线性系统 |
| title | A-posteriori error estimation for second order mechanical systems |
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