A PDEM-based perspective to engineering reliability: From structures to lifeline networks

doi:10.1007/s11709-020-0636-1

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.

Tab.1 Fatigue reliability of different fatigue life

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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