We analyze the frequency response of structural dynamic systems with uncertainties in load and material properties. We introduce uncertainties in the system as interval numbers, and use Interval Finite Element Method (IFEM). Overestimation due to dependency is reduced using a new decomposition for the stiffness and mass matrices, as well as for the nodal equivalent load. In addition, primary and derived quantities are simultaneously obtained by means of Lagrangian multipliers that are introduced in the total energy of the system. The obtained interval equations are solved by means of a new variant of the iterative enclosure method resulting in guaranteed enclosures of relevant quantities. Several numerical examples show the accuracy and efficiency of the new formulation.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Interval Finite Element Analysis of Structural Dynamic Problems


    Weitere Titelangaben:

    Sae Int. J. Mater. Manf
    Sae International Journal of Materials and Manufacturing


    Beteiligte:
    Fedele, Francesco (Autor:in) / Xiao, Naijia (Autor:in) / Muhanna, Rafi L. (Autor:in) / Mullen, Robert L. (Autor:in)

    Kongress:

    SAE 2015 World Congress & Exhibition ; 2015



    Erscheinungsdatum :

    2015-04-14


    Format / Umfang :

    8 pages




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Print


    Sprache :

    Englisch




    Finite Element Interval Analysis for Parameter Change

    Nakagiri, S. | British Library Online Contents | 1997


    Interval prediction in structural dynamic analysis

    HASSELMAN, TIMOTHY / CHROSTOWSKI, JON / ROSS, TIMOTHY | AIAA | 1992



    Finite-element structural analysis

    Furuike, T. / Long, J. C. | NTRS | 1977


    Finite Element Analysis of Dynamic Contact Problems Involving Surface Friction

    Xu, S. / Yu, S. D. / Canadian Society for Mechanical Engineering | British Library Conference Proceedings | 1998