Please wait a minute...

Frontiers of Structural and Civil Engineering

Front. Struct. Civ. Eng.    2020, Vol. 14 Issue (5) : 1056-1065
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
Download: PDF(1701 KB)   HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

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.
E-mail this article
E-mail Alert
Articles by authors
Jie LI
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.
1 M Mayer. Engineering safety, and how to assess it in terms of the limiting stress, instead of the allowable stress. Berlin: Springer, 1926 (in German)
2 R Rackwitz, B Flessler. Structural reliability under combined random load sequences. Computers & Structures, 1978, 9(5): 489–494
3 R Rackwitz. Reliability analysis—A review and some perspectives. Structural Safety, 2001, 23(4): 365–395
4 A M Freudenthal. The safety of structures. ASCE Transactions, 1947, 112: 125–180
5 C A Cornell. A probability-based structural code. Journal of the American Concrete Institute, 1969, 66(12): 974–985
6 N C Lind. Consistent Practical Safety Factors. ASCE Structural Transactions, No. ST6. 1971
7 A H S Ang, W H Tang. Probability Concepts in Engineering. New York: John Wiley & Sons, 1975
8 J Li. On the third generation of structural design theory. In: Proceedings of the 5th International Symposium on Reliability Engineering and Risk Management (5ISRERM). Seoul: Yonsei University, 2016
9 A M Freudenthal, J M Garrelts, M Shinozuka. The analysis of structural safety. Journal of the Structural Division, 1966, 92(ST1): 267–325
10 A H S Ang, J Abdelnour, A A Chakker. Analysis of activity networks under uncertainty. Journal of the Engineering Mechanics Division, 1975, 101(EM4): 373–378
11 O Ditlevsen. Narrow reliability bounds for structural systems. Journal of Structural Mechanics, 1979, 7(4): 453–472
12 P Thoft-Christensen, Y Murotsu. Application of Structural Systems Reliability Theory. New York: Springer, 1986
13 J Li, J B Chen. Stochastic Dynamics of Structures. New York: John Wiley & Sons, 2009
14 J Li, J B Chen. The principle of preservation of probability and the generalized density evolution equation. Structural Safety, 2008, 30(1): 65–77
15 J Li. Probability density evolution equations: History, development and applications. In: Proceedings of the 9th International Conference on Structural Safety and Reliability (ICOSSAR2009). Osaka: Kansai University, 2009
16 K M Hamdia, M A Msekh, M Silani, T Q Thai, P R Budarapu, T Rabczuk. Assessment of computational fracture models using Bayesian method. Engineering Fracture Mechanics, 2019, 205: 387–398
17 J B Chen, Z Q Wan. A compatible probabilistic framework for quantification of simultaneous aleatory and epistemic uncertainty of basic parameters of structures by synthesizing the change of measure and change of random variables. Structural Safety, 2019, 78: 76–87
18 J B Chen, W L Sun, J Li, J Xu. Stochastic harmonic function representation of stochastic processes. Journal of Applied Mechanics, Transactions ASME, 2013, 80(1): 1–11
19 J B Chen, J R He, X D Ren, J Li. Stochastic harmonic function representation of random fields for material properties of structures. Journal of Engineering Mechanics, 2018, 144(7): 04018049
20 Z D Ding, J Li. A physically motivated model for fatigue damage of concrete. International Journal of Damage Mechanics, 2018, 27(8): 1192–1212
21 J Xu. Stochastic dynamic stability analysis of structures and investigation of stability control. Dissertation for the Doctoral Degree. Shanghai: Tongji University, 2014 (in Chinese)
22 J Li, H Zhou, Y Q Ding. Stochastic seismic collapse and reliability assessment of high-rise reinforced concrete structures. Structural Design of Tall Building and Buildings, 2018, 27(2): e1417
23 J Li, J B Chen, W L Fan. The equivalent extreme-value event and evaluation of the structural system reliability. Structural Safety, 2007, 29(2): 112–131
24 H Q Miao, W Liu, J Li. The seismic serviceability analysis of water supply network. In: The 6th International Symposium on Reliability Engineering and Risk Management (6ISRERM). Singapore: National University of Singapore, 2018
Related articles from Frontiers Journals
[1] Beibei SUN, Hao WU, Weimin SONG, Zhe LI, Jia YU. Hydration, microstructure and autogenous shrinkage behaviors of cement mortars by addition of superabsorbent polymers[J]. Front. Struct. Civ. Eng., 2020, 14(5): 1274-1284.
[2] Wengang ZHANG, Libin TANG, Hongrui LI, Lin WANG, Longfei CHENG, Tingqiang ZHOU, Xiang CHEN. Probabilistic stability analysis of Bazimen landslide with monitored rainfall data and water level fluctuations in Three Gorges Reservoir, China[J]. Front. Struct. Civ. Eng., 2020, 14(5): 1247-1261.
[3] Nader KARBALLAEEZADEH, Hosein GHASEMZADEH TEHRANI, Danial MOHAMMADZADEH SHADMEHRI, Shahaboddin SHAMSHIRBAND. Estimation of flexible pavement structural capacity using machine learning techniques[J]. Front. Struct. Civ. Eng., 2020, 14(5): 1083-1096.
[4] Alireza GHAVIDEL, Mohsen RASHKI, Hamed GHOHANI ARAB, Mehdi AZHDARY MOGHADDAM. Reliability mesh convergence analysis by introducing expanded control variates[J]. Front. Struct. Civ. Eng., 2020, 14(4): 1012-1023.
[5] Chunfeng ZHAO, Xin YE, Avinash GAUTAM, Xin LU, Y. L. MO. Simplified theoretical analysis and numerical study on the dynamic behavior of FCP under blast loads[J]. Front. Struct. Civ. Eng., 2020, 14(4): 983-997.
[6] Lingyun YOU, Kezhen YAN, Jianhong MAN, Nengyuan LIU. Anisotropy of multi-layered structure with sliding and bonded interlayer conditions[J]. Front. Struct. Civ. Eng., 2020, 14(3): 632-645.
[7] Yu-Fei WU, Ying-Wu ZHOU, Biao HU, Xiaoxu HUANG, Scott SMITH. Fused structures for safer and more economical constructions[J]. Front. Struct. Civ. Eng., 2020, 14(1): 1-9.
[8] Nishant SHARMA, Kaustubh DASGUPTA, Arindam DEY. Optimum lateral extent of soil domain for dynamic SSI analysis of RC framed buildings on pile foundations[J]. Front. Struct. Civ. Eng., 2020, 14(1): 62-81.
[9] Tugrul TALASLIOGLU. Optimal dome design considering member-related design constraints[J]. Front. Struct. Civ. Eng., 2019, 13(5): 1150-1170.
[10] Mingjie ZHANG, Fuyou XU. Variational mode decomposition based modal parameter identification in civil engineering[J]. Front. Struct. Civ. Eng., 2019, 13(5): 1082-1094.
[11] Narjes SOLTANI, Mohammad ALEMBAGHERI, Mohammad Houshmand KHANEGHAHI. Risk-based probabilistic thermal-stress analysis of concrete arch dams[J]. Front. Struct. Civ. Eng., 2019, 13(5): 1007-1019.
[12] Reza KHADEMI-ZAHEDI, Pouyan ALIMOURI. Finite element model updating of a large structure using multi-setup stochastic subspace identification method and bees optimization algorithm[J]. Front. Struct. Civ. Eng., 2019, 13(4): 965-980.
[13] Mohammad Reza GHASEMI, Charles V. CAMP, Babak DIZANGIAN. Novel decoupled framework for reliability-based design optimization of structures using a robust shifting technique[J]. Front. Struct. Civ. Eng., 2019, 13(4): 800-820.
[14] Zhenyuan LUO, Weiming YAN, Weibing XU, Qinfei ZHENG, Baoshun WANG. Experimental research on the multilayer compartmental particle damper and its application methods on long-period bridge structures[J]. Front. Struct. Civ. Eng., 2019, 13(4): 751-766.
[15] Maryam ZANDIYEHVAKILI, Isa HOJAT, Mehdi MAHMUDI. The role of geometrical features in the architectural- structural interaction: Some case studies of the Iranian ancient architecture[J]. Front. Struct. Civ. Eng., 2019, 13(3): 716-724.
Full text