Newmark algorithm for dynamic analysis with Maxwell chain model
dc.contributor.author | Schmidt , Jaroslav | |
dc.contributor.author | Janda , Tomáš | |
dc.contributor.author | Zemanová , Alena | |
dc.contributor.author | Zeman , Jan | |
dc.contributor.author | Šejnoha , Michal | |
dc.date.accessioned | 2021-03-10T15:43:33Z | |
dc.date.available | 2021-03-10T15:43:33Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Acta Polytechnica. 2020, vol. 60, no. 6 | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/93807 | |
dc.description.abstract | This paper investigates a time-stepping procedure of the Newmark type for dynamic analyses of viscoelastic structures characterized by a generalized Maxwell model. We depart from a scheme developed for a three-parameter model by Hatada et al. [1], which we extend to a generic Maxwell chain and demonstrate that the resulting algorithm can be derived from a suitably discretized Hamilton variational principle. This variational structure manifests itself in an excellent stability and a low artificial damping of the integrator, as we confirm with a mass-spring-dashpot example. After a straightforward generalization to distributed systems, the integrator may find use in, e.g., fracture simulations of laminated glass units, once combined with variationally-based fracture models. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/5981 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.title | Newmark algorithm for dynamic analysis with Maxwell chain model | |
dc.type | article | en |
dc.date.updated | 2021-03-10T15:43:33Z | |
dc.identifier.doi | 10.14311/AP.2020.60.0502 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
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