MITSEAS, Ioannis P.;KOUGIOUMTZOGLOU, Ioannis A.;SPANOS, Pol D.;BEER, Michael . Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation. Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 62, n.7-8, p. 440-451, june 2018. ISSN 0039-2480. Available at: <https://www.sv-jme.eu/sl/article/nonlinear-mdof-system-survival-probability-determination-subject-to-evolutionary-stochastic-excitation/>. Date accessed: 20 dec. 2024. doi:http://dx.doi.org/10.5545/sv-jme.2016.3752.
Mitseas, I., Kougioumtzoglou, I., Spanos, P., & Beer, M. (2016). Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation. Strojniški vestnik - Journal of Mechanical Engineering, 62(7-8), 440-451. doi:http://dx.doi.org/10.5545/sv-jme.2016.3752
@article{sv-jmesv-jme.2016.3752,
author = {Ioannis P. Mitseas and Ioannis A. Kougioumtzoglou and Pol D. Spanos and Michael Beer},
title = {Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {62},
number = {7-8},
year = {2016},
keywords = {first-passage problem; nonlinear stochastic dynamics; evolutionary stochastic processes; nonlinear/hysteretic systems; survival probability},
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.},
issn = {0039-2480}, pages = {440-451}, doi = {10.5545/sv-jme.2016.3752},
url = {https://www.sv-jme.eu/sl/article/nonlinear-mdof-system-survival-probability-determination-subject-to-evolutionary-stochastic-excitation/}
}
Mitseas, I.,Kougioumtzoglou, I.,Spanos, P.,Beer, M. 2016 June 62. Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 62:7-8
%A Mitseas, Ioannis P. %A Kougioumtzoglou, Ioannis A. %A Spanos, Pol D. %A Beer, Michael %D 2016 %T Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation %B 2016 %9 first-passage problem; nonlinear stochastic dynamics; evolutionary stochastic processes; nonlinear/hysteretic systems; survival probability %! Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation %K first-passage problem; nonlinear stochastic dynamics; evolutionary stochastic processes; nonlinear/hysteretic systems; survival probability %X 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. %U https://www.sv-jme.eu/sl/article/nonlinear-mdof-system-survival-probability-determination-subject-to-evolutionary-stochastic-excitation/ %0 Journal Article %R 10.5545/sv-jme.2016.3752 %& 440 %P 12 %J Strojniški vestnik - Journal of Mechanical Engineering %V 62 %N 7-8 %@ 0039-2480 %8 2018-06-27 %7 2018-06-27
Mitseas, Ioannis, Ioannis A. Kougioumtzoglou, Pol D. Spanos, & Michael Beer. "Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation." Strojniški vestnik - Journal of Mechanical Engineering [Online], 62.7-8 (2016): 440-451. Web. 20 Dec. 2024
TY - JOUR AU - Mitseas, Ioannis P. AU - Kougioumtzoglou, Ioannis A. AU - Spanos, Pol D. AU - Beer, Michael PY - 2016 TI - Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation JF - Strojniški vestnik - Journal of Mechanical Engineering DO - 10.5545/sv-jme.2016.3752 KW - first-passage problem; nonlinear stochastic dynamics; evolutionary stochastic processes; nonlinear/hysteretic systems; survival probability 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. UR - https://www.sv-jme.eu/sl/article/nonlinear-mdof-system-survival-probability-determination-subject-to-evolutionary-stochastic-excitation/
@article{{sv-jme}{sv-jme.2016.3752},
author = {Mitseas, I., Kougioumtzoglou, I., Spanos, P., Beer, M.},
title = {Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation},
journal = {Strojniški vestnik - Journal of Mechanical Engineering},
volume = {62},
number = {7-8},
year = {2016},
doi = {10.5545/sv-jme.2016.3752},
url = {https://www.sv-jme.eu/sl/article/nonlinear-mdof-system-survival-probability-determination-subject-to-evolutionary-stochastic-excitation/}
}
TY - JOUR AU - Mitseas, Ioannis P. AU - Kougioumtzoglou, Ioannis A. AU - Spanos, Pol D. AU - Beer, Michael PY - 2018/06/27 TI - Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation JF - Strojniški vestnik - Journal of Mechanical Engineering; Vol 62, No 7-8 (2016): Strojniški vestnik - Journal of Mechanical Engineering DO - 10.5545/sv-jme.2016.3752 KW - first-passage problem, nonlinear stochastic dynamics, evolutionary stochastic processes, nonlinear/hysteretic systems, survival probability 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. UR - https://www.sv-jme.eu/sl/article/nonlinear-mdof-system-survival-probability-determination-subject-to-evolutionary-stochastic-excitation/
Mitseas, Ioannis, Kougioumtzoglou, Ioannis, Spanos, Pol, AND Beer, Michael. "Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 62 Number 7-8 (27 June 2018)
Strojniški vestnik - Journal of Mechanical Engineering 62(2016)7-8, 440-451
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.
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.