Nichtlineare stochastische Schwingungsanalyse zur dynamischen Bemessung von Mehrfreiheitsgradsystemen unter seismischer Belastung
Angewandte Mechanik, Statik und Dynamik
Zusammenfassung der Projektergebnisse
This project has made efforts to address the challenges in the field of stochastic dynamics, including , estimating the peak response of nonlinear systems with fractional derivative elements subject to stochastic code-compatible excitations, developing a modal stochastic design spectrum-based analysis technique for non-classically damped nonlinear MDOF structural systems, proposing a developing an efficient first-passage kind nonlinear stochastic incremental dynamical analysis methodology for MDOF systems, developing an inelastic (plastic/hysteretic behavior) joint time-frequency nonstationary stochastic response fragility analysis technique for MDOF structural systems, determining the response statistics of nonlinear systems with singular matrices, and bounding the first excursion probability of nonlinear systems under imprecise stochastic loading. The methods in the project demonstrates a number of important scientific advances: (1) they can readily treat MDOF systems following complex nonlinear/hysteretic behaviors; (2) they can treat arbitrary stochastic excitations that exhibit variability in both the intensity and the frequency content; (3) they can treat non-classically damped nonlinear MDOF systems; (4) they can readily handle specifications prescribed by various aseismic code provisions (e.g., European EC8, Chinese GB 50011, etc); (5) they display characteristics similar to the ones of a system identification process; (6) this latter point can be well exploited in resilience-based improvement strategies for ordinary code-compliant multi-storey building structures; (7) computationally demanding (even with the most advanced sampling techniques) MCS are circumvented. Besides these methodological advancements, a significant gain in knowledge involve how to improve the design of structural systems subject to seismic hazard to ensure their safe use and operation. Findings from this project have a major impact on the analysis and design of diverse dynamic systems/structures/devices and will open major roadblocks and unlock a vast array of applications in emerging and transformative technologies such as in the areas of energy dissipation (e.g. vibration suppression), energy generation (e.g. analysis/design of energy harvesting dynamic vibration absorbers) and multi-scale engineering. The methodologies achieve a big step towards bridging the gap between advanced stochastic engineering dynamics and contemporary design code provisions (e.g., EC8) in conceptual agreement with the performance-based engineering (PBE) content, and will cause a paradigm shift in the way modern engineering structures/devices are analyzed and designed in the presence of uncertainties. Besides, the researchers in the project have also achieved other related research goals. Specifically, the complex systems, such as nonlinear systems with singular matrices and nonlinear systems with fractional derivative elements, are considered. Further, the complexity of stochastic dynamical system arises not only from their physical modeling but also from the practical environment in which they operate, which involves more intricate excitation modeling, such as the combination of deterministic and stochastic excitation or imprecise stochastic loading. Overall, the developments from this project contribute significantly to the field of stochastic dynamics. These developments find applications in the nonlinear stochastic structural dynamical analysis of engineering systems. However, there are still numerous challenges that need to be addressed, particularly in the realm of stochastic dynamics for nonlinear systems. Further potential research in this area is warranted.
Projektbezogene Publikationen (Auswahl)
-
Modal decomposition method for response spectrum based analysis of nonlinear and non-classically damped systems. Mechanical Systems and Signal Processing, 131, 469-485.
Mitseas, Ioannis P. & Beer, Michael
-
Fragility analysis of nonproportionally damped inelastic MDOF structural systems exposed to stochastic seismic excitation. Computers & Structures, 226, 106129.
Mitseas, Ioannis P. & Beer, Michael
-
First-excursion stochastic incremental dynamics methodology for hysteretic structural systems subject to seismic excitation. Computers & Structures, 242, 106359.
Mitseas, Ioannis P. & Beer, Michael
-
Response Determination of Nonlinear Systems with Singular Matrices Subject to Combined Stochastic and Deterministic Excitations, ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 7(4), 04021049: 1-11
Ni P., Fragkoulis V. C., Kong F., Mitseas I. P. & Beer M.
-
STOCHASTIC NONLINEAR RESPONSE OF STRUCTURAL SYSTEMS ENDOWED WITH SINGULAR MATRICES SUBJECT TO COMBINED PERIODIC AND STOCHASTIC EXCITATIONS. Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, 5367-5373.
Ni, Peihua; Fragkoulis, Vasileios C.; Kong, Fan; Mitseas, Ioannis P.; Beer, Michael & Fragiadakis, Michalis
-
An approximate stochastic dynamics approach for design spectrum based response analysis of nonlinear structural systems with fractional derivative elements. International Journal of Non-Linear Mechanics, 146, 104178.
Kougioumtzoglou, Ioannis A.; Ni, Peihua; Mitseas, Ioannis P.; Fragkoulis, Vasileios C. & Beer, Michael
-
Operator Norm-Based Statistical Linearization to Bound the First Excursion Probability of Nonlinear Structures Subjected to Imprecise Stochastic Loading. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 8(1).
Ni, Peihua; Jerez, Danko J.; Fragkoulis, Vasileios C.; Faes, Matthias G. R.; Valdebenito, Marcos A. & Beer, Michael
-
Response determination of a nonlinear energy harvesting device under combined stochastic and deterministic loads. In: Proceedings of the 13th International Conference On Structural Safety And Reliability (ICOSSAR 2022), 20- 24 June, 2022, Tongji University, Shanghai, China.
Ni P., Fragkoulis V. C., Kong F., Mitseas I. P. & Beer M.
-
Response of an MDOF Nonlinear System with Constraints Under Combined Deterministic and Non-stationary Stochastic Excitation. 8th International Symposium on Reliability Engineering and Risk Management, 22-26. Research Publishing Services.
Ni, P.; Fragkoulis, V. C.; Kong, F.; Mitseas, I. P. & Beer, M.
-
Non-stationary response of nonlinear systems with singular parameter matrices subject to combined deterministic and stochastic excitation. Mechanical Systems and Signal Processing, 188, 110009.
Ni, P.; Fragkoulis, V.C.; Kong, F.; Mitseas, I.P. & Beer, M.
-
Stochastic incremental dynamics methodology for nonlinear structural systems endowed with fractional derivative terms subjected to codecompliant seismic excitation, In: Proceedings of the 14th International Conference on Application of Statistics and Probability in Civil Engineering (ICASP 14), Trinity college Dublin, Ireland, 9 - 13 July, 2023
Ni P., Mitseas I.P., Fragkoulis V.C. & Beer M.
-
Probability of failure of nonlinear oscillators with fractional derivative elements subject to imprecise Gaussian loads. Journal of Physics: Conference Series, 2647(6), 062005.
Ni, P.; Jerez, D. J.; Fragkoulis, V. C.; Mitseas, I. P.; Faes, M. G. R.; Valdebenito, M. A. & Beer, M.
