Details
| Original language | English |
|---|---|
| Pages (from-to) | 440-451 |
| Number of pages | 12 |
| Journal | Strojniski Vestnik/Journal of Mechanical Engineering |
| Volume | 62 |
| Issue number | 7-8 |
| Publication status | Published - 2016 |
Abstract
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.
Keywords
- Evolutionary stochastic processes, First-passage problem, Nonlinear stochastic dynamics, Nonlinear/hysteretic systems, Survival probability
ASJC Scopus subject areas
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Strojniski Vestnik/Journal of Mechanical Engineering, Vol. 62, No. 7-8, 2016, p. 440-451.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Nonlinear MDOF system survival probability determination subject to evolutionary stochastic excitation
AU - Mitseas, Ioannis P.
AU - Kougioumtzoglou, Ioannis A.
AU - Spanos, Pol D.
AU - Beer, Michael
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Evolutionary stochastic processes
KW - First-passage problem
KW - Nonlinear stochastic dynamics
KW - Nonlinear/hysteretic systems
KW - Survival probability
UR - http://www.scopus.com/inward/record.url?scp=84979498511&partnerID=8YFLogxK
U2 - 10.5545/sv-jme.2016.3752
DO - 10.5545/sv-jme.2016.3752
M3 - Article
AN - SCOPUS:84979498511
VL - 62
SP - 440
EP - 451
JO - Strojniski Vestnik/Journal of Mechanical Engineering
JF - Strojniski Vestnik/Journal of Mechanical Engineering
SN - 0039-2480
IS - 7-8
ER -