We present a new interval-based formulation for the static analysis of plane stress/strain problems with uncertain parameters in load, material and geometry. We exploit the Interval Finite Element Method (IFEM) to model uncertainties in the system. Overestimation due to dependency among interval variables is reduced using a new decomposition strategy for the structural stiffness matrix and the nodal equivalent load vector. Primary and derived quantities follow from minimization of the total energy and they are solved simultaneously and with the same accuracy by means of Lagrangian multipliers. Two different element assembly strategies are introduced in the formulation: one is Element-by-Element, and the other resembles conventional assembly. In addition, we implement a new variant of the interval iterative enclosure method to obtain outer and inner solutions. Numerical examples show that the proposed interval approach guarantees to enclose the exact system response.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Uncertainty Analysis of Static Plane Problems by Intervals


    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 :

    14.04.2015


    Format / Umfang :

    8 pages




    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Print


    Sprache :

    Englisch


    Schlagwörter :


    Uncertainty Analysis of Static Plane Problems by Intervals

    Xiao, Naijia / Muhanna, Rafi L. / Fedele, Francesco et al. | British Library Conference Proceedings | 2015



    Estimating uncertainty intervals for linear regression

    Brown, Kendall / Coleman, Hugh / Steele, W | AIAA | 1995



    Determination of Burn Rate Equation Uncertainty Intervals in Solid Fuel Ramjet

    Hankins, William J. / Frederick, Robert A. / Lineberry, David M. | AIAA | 2021