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Frontiers of Structural and Civil Engineering

Front. Struct. Civ. Eng.    2020, Vol. 14 Issue (5) : 1056-1065     https://doi.org/10.1007/s11709-020-0636-1
REVIEW
A PDEM-based perspective to engineering reliability: From structures to lifeline networks
Jie LI()
School of Civil Engineering & State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China
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Abstract

Research of reliability of engineering structures has experienced a developing history for more than 90 years. However, the problem of how to resolve the global reliability of structural systems still remains open, especially the problem of the combinatorial explosion and the challenge of correlation between failure modes. Benefiting from the research of probability density evolution theory in recent years, the physics-based system reliability researches open a new way for bypassing this dilemma. The present paper introduces the theoretical foundation of probability density evolution method in view of a broad background, whereby a probability density evolution equation for probability dissipative system is deduced. In conjunction of physical equations and structural failure criteria, a general engineering reliability analysis frame is then presented. For illustrative purposes, several cases are studied which prove the value of the proposed engineering reliability analysis method.

Keywords PDEM      reliability      structure      lifeline networks     
Corresponding Author(s): Jie LI   
Just Accepted Date: 28 July 2020   Online First Date: 09 September 2020    Issue Date: 16 November 2020
 Cite this article:   
Jie LI. A PDEM-based perspective to engineering reliability: From structures to lifeline networks[J]. Front. Struct. Civ. Eng., 2020, 14(5): 1056-1065.
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http://journal.hep.com.cn/fsce/EN/10.1007/s11709-020-0636-1
http://journal.hep.com.cn/fsce/EN/Y2020/V14/I5/1056
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Fig.1  Probability density of fatigue damage under different cycles of loadings.
Fig.2  Contour of probability density of fatigue damage.
Fig.3  Fatigue reliability of the concrete beam.
fatigue cycles fatigue reliability
2000000 0.9932
2500000 0.9342
3000000 0.8788
3500000 0.7744
4000000 0.6500
4500000 0.4057
5000000 0.2405
Tab.1  Fatigue reliability of different fatigue life
fatigue reliability fatigue cycles
0.99 2046644
0.95 2301441
0.90 2857590
0.80 3400167
0.70 3845917
0.60 4139996
0.50 4315190
Tab.2  Fatigue life of different fatigue reliability
Fig.4  The finite element model of an 18-storey building.
Fig.5  Typical collapse processes and failure modes of the high-rise building. (a) Sample 1; (b) Sample 2.
Fig.6  Typical PDFs of the ISDR responses at certain instants of time.
Fig.7  Global reliability of structures by energy criterion.
Fig.8  Schematic of a small-size pipe network.
Fig.9  Probability density evolution of water head at the node No. 7. (a) Probability density surface; (b) probability density contour.
Fig.10  Cumulative probability density (CDF) of the water pressure at the node No. 7.
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