Details
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 |
| Editors | Michael Beer, Enrico Zio, Kok-Kwang Phoon, Bilal M. Ayyub |
| Pages | 22-26 |
| Number of pages | 5 |
| Publication status | Published - 2022 |
| Event | 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 - Hannover, Germany Duration: 4 Sept 2022 → 7 Sept 2022 |
Publication series
| Name | Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022 |
|---|
Abstract
A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular matrices and constraints subject to combined deterministic and non-stationary stochastic excitation. Decomposing the system response into a deterministic and a stochastic component leads to two subsystems of equations, namely, one subject to deterministic excitation and one subject to stochastic one. The latter is treated by resorting to a generalized stochastic linearization-based framework combined with state variable analysis. Specifically, a matrix differential equation governing the equivalent linear system under non-stationary stochastic excitation is derived and solved in conjunction with the deterministic set of equations governing the deterministic system response. The validity of the proposed technique is demonstrated by a pertinent numerical example.
Keywords
- Combined excitation, Non-stationary process, Nonlinear system, Singular matrices, Statistical linearization
ASJC Scopus subject areas
- Decision Sciences(all)
- Management Science and Operations Research
- Engineering(all)
- Safety, Risk, Reliability and Quality
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Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022. ed. / Michael Beer; Enrico Zio; Kok-Kwang Phoon; Bilal M. Ayyub. 2022. p. 22-26 (Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Response of an MDOF nonlinear system with constraints under combined deterministic and non-stationary stochastic excitation
AU - Ni, P.
AU - Fragkoulis, V. C.
AU - Kong, F.
AU - Mitseas, I. P.
AU - Beer, M.
PY - 2022
Y1 - 2022
N2 - A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular matrices and constraints subject to combined deterministic and non-stationary stochastic excitation. Decomposing the system response into a deterministic and a stochastic component leads to two subsystems of equations, namely, one subject to deterministic excitation and one subject to stochastic one. The latter is treated by resorting to a generalized stochastic linearization-based framework combined with state variable analysis. Specifically, a matrix differential equation governing the equivalent linear system under non-stationary stochastic excitation is derived and solved in conjunction with the deterministic set of equations governing the deterministic system response. The validity of the proposed technique is demonstrated by a pertinent numerical example.
AB - A new technique is proposed for determining the response of multi-degree-of-freedom nonlinear systems with singular matrices and constraints subject to combined deterministic and non-stationary stochastic excitation. Decomposing the system response into a deterministic and a stochastic component leads to two subsystems of equations, namely, one subject to deterministic excitation and one subject to stochastic one. The latter is treated by resorting to a generalized stochastic linearization-based framework combined with state variable analysis. Specifically, a matrix differential equation governing the equivalent linear system under non-stationary stochastic excitation is derived and solved in conjunction with the deterministic set of equations governing the deterministic system response. The validity of the proposed technique is demonstrated by a pertinent numerical example.
KW - Combined excitation
KW - Non-stationary process
KW - Nonlinear system
KW - Singular matrices
KW - Statistical linearization
UR - http://www.scopus.com/inward/record.url?scp=85202035236&partnerID=8YFLogxK
U2 - 10.3850/978-981-18-5184-1_MS-01-139-cd
DO - 10.3850/978-981-18-5184-1_MS-01-139-cd
M3 - Conference contribution
AN - SCOPUS:85202035236
SN - 9789811851841
T3 - Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022
SP - 22
EP - 26
BT - Proceedings of the 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022
A2 - Beer, Michael
A2 - Zio, Enrico
A2 - Phoon, Kok-Kwang
A2 - Ayyub, Bilal M.
T2 - 8th International Symposium on Reliability Engineering and Risk Management, ISRERM 2022
Y2 - 4 September 2022 through 7 September 2022
ER -