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Nonlinear MDOF system survival probability determination subject to evolutionary stochastic excitationMitseas, 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 techniqueVir: 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 delLeto - 2016Jezik - angleškiCOBISS.SI-ID - 14745883
Avtor
Mitseas, Ioannis P. |
Kougioumtzoglou, Ioannis A. |
Spanos, Pol D. |
Beer, Michael, 1970-
Teme
first-passage problem |
nonlinear stochastic dynamics |
evolutionary stochastic processes |
nonlinear/hysteretic systems |
survival probability |
problem prvega prehoda |
nelinearna stohastična dinamika |
evolucijski stohastični procesi |
nelinearni/histerezni sistemi |
verjetnost preživetja |
statistična linearizacija
Vnos na polico
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| Mitseas, Ioannis P. | ![]() |
| Kougioumtzoglou, Ioannis A. | ![]() |
| Spanos, Pol D. | ![]() |
| Beer, Michael, 1970- | ![]() |
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