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  • Nonlinear MDOF system survival probability determination subject to evolutionary stochastic excitation
    Mitseas, Ioannis P. ...
    An approximate technique for assessing the reliability of nonlinear multi-degree-of-freedom (MDOF) systems subject to a non-stationary stochastic excitation vector is developed. The proposed ... technique can be construed as a two-stage approach. First, relying on statistical linearization and utilizing a dimension reduction approach the nonlinear n-degree-of-freedom system is decoupled and cast into (n) effective single-degree-of-freedom (SDOF) linear time-variant (LTV) oscillators. Second, utilizing the effective SDOF LTV oscillator time-varying stiffness and damping elements in conjunction with a stochastic averaging treatment of the problem, the MDOF system survival probability and first- passage PDF are determined. Overall, the developed technique appears to be efficient and versatile since it can handle readily, at a low computational cost, a wide range of nonlinear/hysteretic behaviors as well as various stochastic excitation forms, even of the fully non- stationary in time and frequency kind. A 3-DOF system exhibiting hysteresis following the Bouc-Wen model is included in the numerical examples section. Comparisons with pertinent Monte Carlo simulations demonstrate the accuracy of the technique
    Vir: Strojniški vestnik = Journal of mechanical engineering. - ISSN 0039-2480 (Vol. 62, no. 7/8, July-Aug. 2016, str. 440-451, SI 74)
    Vrsta gradiva - članek, sestavni del
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 14745883

vir: Strojniški vestnik = Journal of mechanical engineering. - ISSN 0039-2480 (Vol. 62, no. 7/8, July-Aug. 2016, str. 440-451, SI 74)
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