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The bipenalty method for arbitrary multipoint constraints
dc.contributor.author | Hetherington, Jack |
dc.contributor.author | Rodríguez Ferran, Antonio |
dc.contributor.author | Askes, Harm |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2015-11-02T13:59:17Z |
dc.date.available | 2015-11-02T13:59:17Z |
dc.date.issued | 2013-02-03 |
dc.identifier.citation | Hetherington, J., Rodriguez-Ferran, A., Askes, H. The bipenalty method for arbitrary multipoint constraints. "International journal for numerical methods in engineering", 03 Febrer 2013, vol. 93, núm. 5, p. 465-482. |
dc.identifier.issn | 0029-5981 |
dc.identifier.uri | http://hdl.handle.net/2117/78643 |
dc.description.abstract | In finite element (FE) analysis, traditional penalty methods impose constraints by adding virtual stiffness to the FE system. In dynamics, this can decrease the critical time step of the system when conditionally stable time integration schemes are used by introducing spurious modes with high eigenfrequencies. Recent studies have shown that using mass penalties alongside traditional stiffness penalties can mitigate this effect for systems with a one single-point constraint. In the present work, we extend this finding to include systems with an arbitrary set of multipoint constraints. By analysing the generalised eigenvalue problem, we show that the values of spurious eigenfrequencies may be controlled by the choice of stiffness and mass penalty parameters. The method is demonstrated using numerical examples, including a one-dimensional contact–impact formulation and a two-dimensional crack propagation analysis. The results show that constraint imposition using the bipenalty method can be employed such that the critical time step of an analysis is unaffected, whereas also displaying superiority over the mass penalty method in terms of accuracy and versatility. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.publisher | John Wiley & Sons |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Numerical analysis |
dc.subject.other | solids |
dc.subject.other | finite element methods |
dc.subject.other | penalty methods |
dc.subject.other | stability |
dc.subject.other | time integration |
dc.subject.other | explicit |
dc.subject.other | eigenvalue analysis |
dc.title | The bipenalty method for arbitrary multipoint constraints |
dc.type | Article |
dc.subject.lemac | Anàlisi numèrica |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1002/nme.4389 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/nme.4389/epdf |
dc.rights.access | Open Access |
local.identifier.drac | 11843583 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Hetherington, J.; Rodriguez-Ferran, A.; Askes, H. |
local.citation.publicationName | International journal for numerical methods in engineering |
local.citation.volume | 93 |
local.citation.number | 5 |
local.citation.startingPage | 465 |
local.citation.endingPage | 482 |
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