Multi-scale Dynamic System Reliability Analysis of Actively-controlled Structures under Random Stationary Ground Motions

• Published in: KSCE journal of civil engineering Vol. 23; no. 3; pp. 1259 - 1270
• Main Authors: Kim, Seung-Min, Ok, Seung-Yong, Song, Junho
• Format: Journal Article
• Language: English
• Published: Seoul Korean Society of Civil Engineers 01.03.2019; Springer Nature B.V; 대한토목학회
• Subjects: Active control; Analysis; Civil Engineering; Complex systems; Computer simulation; Control equipment; Decomposition; Dependence; Duration; Dynamical systems; Earthquakes; Engineering; Excitation; Failure analysis; Frameworks; Geotechnical Engineering & Applied Earth Sciences; Ground motion; Industrial Pollution Prevention; Limit states; Monte Carlo simulation; Multiscale analysis; Parameter uncertainty; Parameters; Probability; Probability theory; Reliability; Reliability analysis; Reliability aspects; Reliability engineering; Seismic activity; Seismic engineering; Statistical analysis; Statistical methods; Structural Engineering; Structural members; Structural reliability; Subsystems; System reliability; Time domain analysis; Uncertainty; 토목공학; probabilistic performance assessment; system uncertainty; system reliability analysis; active control; dynamic reliability; multi-scale approach
• ISSN: 1226-7988; 1976-3808
• DOI: 10.1007/s12205-019-1584-y

This paper proposes a multi-scale dynamic system reliability analysis approach to assess the failure probability of an activelycontrolled structure subject to random stationary ground motions. The proposed approach employs a multi-scale hierarchical framework where a lower-scale system reliability analyses compute the failure probabilities of the structural members during the earthquakes and a higher-scale system reliability analysis computes the failure probability of the structural system based on results of the lower-scale analyses. The multi-scale framework facilitates the system reliability analysis of the large-sized complex system by decomposing the complex system into the manageable-sized subsystems. It also enables us to deal with statistical dependence both in spatial and temporal senses through the decomposition of the reliability analysis in space and time aspects. In these regards, the proposed approach performs a reliability analysis with the dynamic responses in time domain. This dynamic reliability analysis approach can consider uncertainties in system parameters and earthquake excitations simultaneously. In addition, the peak response over a time duration is used to describe the limit state of the structural system, which provides a more realistic measure of the failure probability of a structural system than instantaneous probability. In order to demonstrate the proposed approach, a 3-story shear-type building equipped with an optimal active control device is considered. The control performance under uncertainties is investigated through the reliability assessment by the proposed approach and the Monte Carlo Simulation (MCS) approach, respectively. The numerical study also investigates the influence of the uncertainties in the system parameters and the earthquake excitations on the system failure probability. The results of the numerical examples demonstrate that the proposed approach can efficiently estimate the system reliability and the failure probability of an actively-controlled structure.