Hybrid reliability model for fatigue reliability analysis of steel bridges

Shan-shan Cao , Jun-qing Lei

Journal of Central South University ›› 2016, Vol. 23 ›› Issue (2) : 449 -460.

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Journal of Central South University ›› 2016, Vol. 23 ›› Issue (2) : 449 -460. DOI: 10.1007/s11771-016-3090-4
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Hybrid reliability model for fatigue reliability analysis of steel bridges

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Abstract

A kind of hybrid reliability model is presented to solve the fatigue reliability problems of steel bridges. The cumulative damage model is one kind of the models used in fatigue reliability analysis. The parameter characteristics of the model can be described as probabilistic and interval. The two-stage hybrid reliability model is given with a theoretical foundation and a solving algorithm to solve the hybrid reliability problems. The theoretical foundation is established by the consistency relationships of interval reliability model and probability reliability model with normally distributed variables in theory. The solving process is combined with the definition of interval reliability index and the probabilistic algorithm. With the consideration of the parameter characteristics of the S−N curve, the cumulative damage model with hybrid variables is given based on the standards from different countries. Lastly, a case of steel structure in the Neville Island Bridge is analyzed to verify the applicability of the hybrid reliability model in fatigue reliability analysis based on the AASHTO.

Keywords

hybrid reliability model (HRM) / consistency relationships / linear and bilinear S−N curve / fatigue reliability / normal distribution

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Shan-shan Cao, Jun-qing Lei. Hybrid reliability model for fatigue reliability analysis of steel bridges. Journal of Central South University, 2016, 23(2): 449-460 DOI:10.1007/s11771-016-3090-4

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References

[1]

BEN-HAIMY, ElishakoffIConvex models of uncertainties in applied mechanics [M], 1990AmsterdamElsevier Science

[2]

Ben-HaimY. A non-probabilistic concept of reliability [J]. Structural Safety, 1994, 14(4): 227-245

[3]

ElishakoffI, ColombiP. Combination of probabilistic and convex models of uncertainty when limited knowledge is present on acoustic excitation parameters [J]. Comput Methods Appl Mech Eng, 1993, 104: 187-209

[4]

ElishakoffI, CaiG Q, StamesJ H. Non-linear buckling of a column with initial imperfections via stochastic and non-stochastic convex models [J]. Int J Nonlin Mech, 1994, 29: 71-82

[5]

GuoS-x, LuZ-z, FengY-sheng. A non-probabilistic model of structure reliability based on interval analysis [J]. Journal of Computational Mechanics, 2001, 18(1): 56-60

[6]

GuoS-x, LuZ-zhou. Hybrid probabilistic and non-probabilistic model of structural reliability [J]. Chinese Journal of Mechanical Strength, 2002, 24(4): 524-526, 530

[7]

GuoJ, DuX-ping. Reliability sensitivity analysis with random and interval variables [J]. International Journal for Numerical Methods in Engineering, 2009, 78: 1585-1617

[8]

JiangC, LiW X, HanX, LiuL X, LeP H. Structural reliability analysis based on random distributions with interval parameters [J]. Computers and Structures, 2011, 89: 2292-2302

[9]

QiaoX-zhouUncertain structural reliability analysis and optimization design research [D], 2008Xi’anXi’an Electronic and Engineering University

[10]

WangJ, QiuZ-ping. Probabilistic and non-probabilistic hybrid reliability model of structures [J]. Aeronautica et Astronautica Sinica, 2009, 30(8): 1398-1404

[11]

LiK-f, YangZ-c, SunW-cai. New hybrid convex model and probability reliability method for structures [J]. Journal of Mechanical Engineering in Chinese, 2012, 48(14): 192-198

[12]

PenmetsaR, GrandhiR. Efficient estimation of structural reliability for problems with uncertain intervals [J]. Computers and Structures, 2002, 80: 1103-1112

[13]

LuoY-j, KangZ, LiAlex. Structural reliability assessment based on probability and convex set mixed model [J]. Computers and Structures, 2009, 87: 1408-1415

[14]

JiangC, ZhengJ, HanX, ZhangQ-fei. A probability and interval hybrid structural reliability analysis method considering parameters’ correlation [J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(4): 591-600

[15]

LiuY-j, FanJ-w, LiYun. Reliability evaluation method and algorithm for electromechanical product [J]. Journal of Central South University, 2014, 21(10): 3753-3761

[16]

CaoS-s, LeiJ-q, ZhangKun. The non-probabilistic reliability analysis of stayed-cable based on the interval algorithm [J]. Applied Mechanics and Materials, 2014, 455: 267-273

[17]

ChenX-yongReliability investigation of RC bridge in-service based on non-probabilistic theoretical model [D], 2010WuhanHuazhong University of Science and Technology

[18]

JiangT, ChenJ-j, ZhangC-jiang. Non-probabilistic reliability index and affine arithmetic [J]. Journal of Mechanical Strength, 2007, 29(2): 251-255

[19]

FisherJ WFatigue and fracture in steel bridges [M], 1984New YorkJohn Willey and Sons

[20]

ConnorR J, HodgsonI C, MahmoudH N, BowmanC AField testing and fatigue evaluation of the I-79 Neville Island bridge over the Ohio River [R], 2005Bethlehem, PALehigh Universiey, Center for Advanced Technology for Large Structural Systems (ATLSS)

[21]

CrudeleB B, YenB T. Analytical examination of S-N curves below constant amplitude fatigue limit. [C]//Proc 1st Int Conf on Fatigue and Fracture in the Infrastructure, 2006Bethlehem, PAATLSS Engineering Research Center, Lehigh University

[22]

AASHTO Guidelines, AASHTO Standard Specification [S]. 6th ed for highway bridges. Washington: American Association of State Highway and Transportation Officials, 2012.

[23]

KwonK, FrangopolD M, SolimanM. Probabilistic fatigue life estimation of steel bridges by using a bilinear approach [J]. Journal of Bridge Engineering, 2012, 17(1): 58-70

[24]

SolimanM, FrangopolD M, KwonK. Fatigue assessment and service life prediction of existing steel bridges by integrating SHM into a probabilistic bilinear S-N approach [J]. J Struct Eng, 2013, 139: 1728-1740

[25]

BSI.. BS EN 1993-1-9 -2005 Eurocode 3: Design of steel structures Part 1. 9: Fatigue [S], 2006LondonBritish Standards Institution

[26]

YenB T, HodgsonI C, EdwardZ Y, CrudeleB B. Bilinear S-N curves and equivalent stress ranges for fatigue life estimation [J]. Journal of Bridge Engineering, 2013, 18(1): 26-30

[27]

WirschingP H. Fatigue reliability for offshore structures [J]. Journal of Structural Engineering, ASCE, 1984, 110(10): 2340-2356

[28]

FrangopolD M, StraussA, KimS. Bridge reliability assessment based on monitoring [J]. Journal of Bridge Engineering, ASCE, 2008, 13(3): 258-270

[29]

WirschingP H, OrtizK, ChenY N. Fracture mechanics fatigue model in a reliability format. [C]//Proc 6th Int Syrup on OMAE, 1987Houston, TXOMAE

[30]

LiuM, FrangopolD, KwonK. Fatigue reliability assessment of retrofitted steel bridges integrating monitored data [J]. Structural Safety, 2010, 32(1): 77-89

[31]

ZhaoZ W, HaldarA, BreenF L. Fatigue-reliability evaluation of steel bridges [J]. Journal of Structural Engineering, ASCE, 1994, 120(5): 1608-1623

[32]

XiaH, NiY, WongK, KoJ M. Reliability-based condition assessment of in-service bridges using mixture distribution models [J]. Computers & Structures, 2012, 106(5): 204-213

[33]

KwonK, FrangopolD M. Bridge fatigue reliability assessment using probability density functions of equivalent stress range based on field monitoring data [J]. International Journal of Fatigue, 2010, 32(8): 1221-1232

[34]

KwonK, FrangopolD M. Bridge fatigue assessment and management using reliability-based crack growth and probability of detection models [J]. Probabilistic Engineering Mechanics, 2011, 26: 471-480

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