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  • Czech Technical University in Prague - Central Library  (2)
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  • Czech Technical University in Prague - Central Library  (2)
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  • 1
    Online Resource
    Online Resource
    Czech Technical University in Prague - Central Library ; 2021
    In:  Acta Polytechnica Vol. 60, No. 6 ( 2021-01-04)
    In: Acta Polytechnica, Czech Technical University in Prague - Central Library, Vol. 60, No. 6 ( 2021-01-04)
    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.
    Type of Medium: Online Resource
    ISSN: 1805-2363 , 1210-2709
    Language: Unknown
    Publisher: Czech Technical University in Prague - Central Library
    Publication Date: 2021
    detail.hit.zdb_id: 2575330-7
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  • 2
    Online Resource
    Online Resource
    Czech Technical University in Prague - Central Library ; 2017
    In:  Acta Polytechnica CTU Proceedings Vol. 13 ( 2017-11-13), p. 109-
    In: Acta Polytechnica CTU Proceedings, Czech Technical University in Prague - Central Library, Vol. 13 ( 2017-11-13), p. 109-
    Abstract: Laminated glass, consisting of glass layers connected with transparent foils, has found its applications in civil, automotive, or marine engineering. Due to a high contrast in layer properties, mechanical response of laminated glass structures cannot be predicted using classical laminate theories. On the other hand, engineering applications demand easy-to-use formulas of acceptable accuracy. This contribution addresses such simplified models for free vibrations of laminated glass beams, with the goal to determine their natural frequencies and modal damping properties. Our strategy is to approximate the complex behavior of a laminated structure with that of an equivalent monolithic beam. Its effective thickness is determined by the variational method proposed by Galuppi and Royer-Carfagni for static problems, which we extended for modal analysis. We show that this new approach overcomes inaccuracies of the currently used dynamic effective thickness model by López-Aenlle and Pelayo.
    Type of Medium: Online Resource
    ISSN: 2336-5382
    Language: Unknown
    Publisher: Czech Technical University in Prague - Central Library
    Publication Date: 2017
    detail.hit.zdb_id: 2868262-2
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