An Efficient Dynamic Formulation for Solving Rigid and Flexible Multibody Systems Based on Semirecursive Method and Implicit Integration
This paper presents a method for solving the dynamic equations of multibody systems containing both rigid and flexible bodies. The proposed method uses independent coordinates and projects the dynamic equations on the constraint tangent manifold by means of a velocity transformation matrix. It can b...
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| Veröffentlicht in: | Journal of computational and nonlinear dynamics 2016-09, Vol.11 (5) |
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| container_title | Journal of computational and nonlinear dynamics |
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| creator | Funes, Francisco Javier de Jalón, Javier García |
| description | This paper presents a method for solving the dynamic equations of multibody systems containing both rigid and flexible bodies. The proposed method uses independent coordinates and projects the dynamic equations on the constraint tangent manifold by means of a velocity transformation matrix. It can be used with a wide variety of integration formulae, considering both fixed and variable stepsizes. Topological semirecursive methods are used to take advantage of the relatively small number of parameters needed. An in depth implementation analysis is performed in order to evaluate the terms involved in the integration process. Numerical and stability issues are also discussed. |
| doi_str_mv | 10.1115/1.4032246 |
| format | Article |
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Comput. Nonlinear Dynam</addtitle><description>This paper presents a method for solving the dynamic equations of multibody systems containing both rigid and flexible bodies. The proposed method uses independent coordinates and projects the dynamic equations on the constraint tangent manifold by means of a velocity transformation matrix. It can be used with a wide variety of integration formulae, considering both fixed and variable stepsizes. Topological semirecursive methods are used to take advantage of the relatively small number of parameters needed. An in depth implementation analysis is performed in order to evaluate the terms involved in the integration process. Numerical and stability issues are also discussed.</description><subject>Dynamical systems</subject><subject>Flexible bodies</subject><subject>Manifolds (mathematics)</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Multibody systems</subject><subject>Nonlinear dynamics</subject><subject>Transformations</subject><issn>1555-1415</issn><issn>1555-1423</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNo9kE9P3DAQxSPUSlDKgTMXH9vDgif-k-RIgYWVQJW6cLaceLw1cuyt7aDuN-jHJnQRl5k5_N48vVdVp0DPAUBcwDmnrK65PKiOQAixAF6zTx83iMPqS87PlHLeteKo-ncZyI21bnAYCrneBT26gSxjGievi4uB2JjIOvoXFzbkl9s4Q3QwZOnxr-s9kofJF9dHsyPrXS44ZvJDZzRkVq5xdAmHKWX3MoNYfse9eDVu_exYyCoU3KT_Pl-rz1b7jCfv-7h6Wt48Xt0t7n_erq4u7xe6buuy6KyWpmHAO1kzkCgslbQ2jew7C9b2IKQBYSQ2dJ6aNr0EZqQwFHXLOGfH1bf9322KfybMRY0uD-i9DhinrKAVgrWM8W5Gv-_RIcWcE1q1TW7UaaeAqre2Faj3tmf2bM_qPKJ6jlMKcwrFG-Bty14Br8J7mg</recordid><startdate>20160901</startdate><enddate>20160901</enddate><creator>Funes, Francisco Javier</creator><creator>de Jalón, Javier García</creator><general>ASME</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20160901</creationdate><title>An Efficient Dynamic Formulation for Solving Rigid and Flexible Multibody Systems Based on Semirecursive Method and Implicit Integration</title><author>Funes, Francisco Javier ; de Jalón, Javier García</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a282t-9fa6d7314962316e5f0602d76b9f1ffb156d15d6e705d6a07b613d65d0ea83443</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Dynamical systems</topic><topic>Flexible bodies</topic><topic>Manifolds (mathematics)</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Multibody systems</topic><topic>Nonlinear dynamics</topic><topic>Transformations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Funes, Francisco Javier</creatorcontrib><creatorcontrib>de Jalón, Javier García</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of computational and nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Funes, Francisco Javier</au><au>de Jalón, Javier García</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>An Efficient Dynamic Formulation for Solving Rigid and Flexible Multibody Systems Based on Semirecursive Method and Implicit Integration</atitle><jtitle>Journal of computational and nonlinear dynamics</jtitle><stitle>J. 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| language | eng |
| recordid | cdi_proquest_miscellaneous_1855383349 |
| source | ASME Transactions Journals (Current); Alma/SFX Local Collection |
| subjects | Dynamical systems Flexible bodies Manifolds (mathematics) Mathematical analysis Mathematical models Multibody systems Nonlinear dynamics Transformations |
| title | An Efficient Dynamic Formulation for Solving Rigid and Flexible Multibody Systems Based on Semirecursive Method and Implicit Integration |
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