Sensitivity analysis of structural systems is important for identifying important parameters that influence the dynamic response of a model. This paper describes an extension of the standard Newmark-beta algorithm to the multicomplex mathematical domain such that time-dependent, high-order, high-accuracy derivatives of dynamic systems can be obtained along with the traditional response. In particular, complex and bicomplex analyses were used to compute accurate first and second order derivatives of several example problems. These derivatives were shown to be highly accurate when compared to analytical and finite difference estimates. The method is general and any order derivative including mixed derivatives can be computed.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Multicomplex Newmark-Beta Time Integration Method for Sensitivity Analysis in Structural Dynamics


    Contributors:

    Published in:

    Publication date :

    2015




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.50 Luftfahrzeugtechnik / 55.60 Raumfahrttechnik / 55.60 / 50.93 / 55.50 / 50.93 Weltraumforschung
    Local classification TIB:    770/7040




    On Newmark-Beta Integration for an Unforced Single Degree-of-Freedom Linear System

    Ferguson, G. L. / Marsh, G. / American Society of Mechanical Engineers; Dynamic Systems and Control Division et al. | British Library Conference Proceedings | 1993


    Comparison of Newmark and Space-Time Discontinuous Galerkin Method

    Aksoy, H. G. / Tanrover, H. / Senocak, E. et al. | British Library Conference Proceedings | 2004


    The Direct Stochastic Newmark Method in the State Space

    Zhang, L. / Zu, J. W. / Canadian Society for Mechanical Engineering | British Library Conference Proceedings | 1998