Newmark algorithm for dynamic analysis with Maxwell chain model

Autor:	Schmidt, Jaroslav, Janda, Tomáš, Zemanová, Alena, Zeman, Jan, Šejnoha, Michal
Rok vydání:	2019
Předmět:	Computer Science - Computational Engineering Finance and Science
Druh dokumentu:	Working Paper
Popis:	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. in 2000, 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. Comment: 9 pages, 4 figures, 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.03255 Zobrazit plný text záznamu View this record from Arxiv