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CLC number: TU312

On-line Access: 2016-09-08

Received: 2015-12-20

Revision Accepted: 2016-03-24

Crosschecked: 2016-08-23

Cited: 1

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Citations:  Bibtex RefMan EndNote GB/T7714


Cao Wang


Quan-wang Li


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Journal of Zhejiang University SCIENCE A 2016 Vol.17 No.9 P.677-688


Estimating the time-dependent reliability of aging structures in the presence of incomplete deterioration information

Author(s):  Cao Wang, Quan-wang Li, Long Pang, A-ming Zou

Affiliation(s):  Department of Civil Engineering, Tsinghua University, Beijing 100084, China; more

Corresponding email(s):   wangcao12@tsinghua.org.cn, li_quanwang@tsinghua.edu.cn

Key Words:  Time-dependent reliability, Deterioration model, Error quantification, Averaged reliability, Structural safety

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Cao Wang, Quan-wang Li, Long Pang, A-ming Zou. Estimating the time-dependent reliability of aging structures in the presence of incomplete deterioration information[J]. Journal of Zhejiang University Science A, 2016, 17(9): 677-688.

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%A Cao Wang
%A Quan-wang Li
%A Long Pang
%A A-ming Zou
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T1 - Estimating the time-dependent reliability of aging structures in the presence of incomplete deterioration information
A1 - Cao Wang
A1 - Quan-wang Li
A1 - Long Pang
A1 - A-ming Zou
J0 - Journal of Zhejiang University Science A
VL - 17
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SP - 677
EP - 688
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1500342

The performance of an aging structure is commonly evaluated under the framework of reliability analysis, where the uncertainties associated with the structural resistance and loads should be taken into account. In practical engineering, the probability distribution of resistance deterioration is often inaccessible due to the limits of available data, although the statistical parameters such as mean value and standard deviation can be obtained by fitting or empirical judgments. As a result, an error of structural reliability may be introduced when an arbitrary probabilistic distribution is assumed for the resistance deterioration. With this regard, in this paper, the amount of reliability error posed by different choices of deterioration distribution is investigated, and a novel approach is proposed to evaluate the averaged structural reliability under incomplete deterioration information, which does not rely on the probabilistic weight of the candidate deterioration models. The reliability for an illustrative structure is computed parametrically for varying probabilistic models of deterioration and different resistance conditions, through which the reliability associated with different deterioration models is compared, and the application of the proposed method is illustrated.

The manuscript examines the effect of different probabilistic models (uniform, normal, inverse-lognormal, beta and Gamma distributions) of resistance deterioration on structural time-dependent reliability. Three methods (two methods follow the study of Tang et al. 2015) are adopted to evaluate the structural time-dependent reliability under incomplete probability information. The manuscript is beneficial to structural reliability analysis under incomplete probability information.


创新点:1. 假定衰减函数服从5种常见的概率分布,讨论可靠度分析结果的差异;2. 当衰减函数的概率分布(或各概率分布的权重)未知时,提出平均可靠度的分析方法。
结论:1. 不同的衰减函数概率分布对结构可靠度的影响显著;2. 利用本文提出的方法,在衰减函数概率的分布(或各概率分布的权重)未知时,可以得出结构可靠度的合理评估。


Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]AASHTO (American Association of State Highway and Transportation Officials), 2008. The Manual for Bridge Evaluation. AASHTO, Washington DC, USA.

[2]ACI Committee, 2014. Building Code Requirements for Structural Concrete (ACI 318-08) and Commentary. American Concrete Institute, Farmington Hills, MI, USA.

[3]Cao, Z., Wang, Y., 2014. Bayesian model comparison and selection of spatial correlation functions for soil parameters. Structural Safety, 49:10-17.

[4]Clifton, J.R., Knab, L.I., 1989. Service Life of Concrete. Technical Report No. NUREG/CR-5466 and NISTIR-89-4086, Nuclear Regulatory Commission, Washington DC, USA. National Institute of Standards and Technology, Gaithersburg, USA.

[5]Comenetz, M., 2002. Calculus: the Elements. World Scientific Publishing Press, Singapore.

[6]Dieulle, L., Bérenguer, C., Grall, A., et al., 2003. Sequential condition-based maintenance scheduling for a deteriorating system. European Journal of Operational Research, 150(2):451-461.

[7]Ellingwood, B.R., 2005. Risk-informed condition assessment of civil infrastructure: state of practice and research issues. Structure and Infrastructure Engineering, 1(1):7-18.

[8]Enright, M.P., Frangopol, D.M., 1998. Service-life prediction of deteriorating concrete bridges. Journal of Structural Engineering, 124(3):309-317.

[9]Gilbert, S., 1988. Linear Algebra and Its Applications. Harcourt Brace Jovanovich, USA.

[10]Hong, H., 2000. Assessment of reliability of aging reinforced concrete structures. Journal of Structure Engineering, 126(12):1458-1465.

[11]Li, D.Q., Zhang, L., Tang, X.S., et al., 2015. Bivariate distribution of shear strength parameters using copulas and its impact on geotechnical system reliability. Computers and Geotechnics, 68:184-195.

[12]Li, Q.W., Wang, C., 2015. Updating the assessment of resistance and reliability of existing aging bridges with prior service loads. Journal of Structural Engineering, 141(12):04015072.

[13]Li, Q.W., Wang, C., Ellingwood, B.R., 2015. Timedependent reliability of aging structures in the presence of non-stationary loads and degradation. Structural Safety, 52:132-141.

[14]Ma, Y.F., Zhang, J.R., Wang, L., et al., 2013. Probabilistic prediction with Bayesian updating for strength degradation of RC bridge beams. Structural Safety, 44:102-109.

[15]Mckay, M.D., Beckman, R.J., Conover, W.J., 2000. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics, 42(1):55-61.

[16]Mohd, M.H., Paik, J.K., 2013. Investigation of the corrosion progress characteristics of offshore subsea oil well tubes. Corrosion Science, 67:130-141.

[17]Mohd, M.H., Kim, D.K., Kim, D.W., et al., 2014. A time-variant corrosion wastage model for subsea gas pipelines. Ships & Offshore Structures, 9(2):161-176.

[18]Mori, Y., Ellingwood, B.R., 1993. Reliability-based servicelife assessment of aging concrete structures. Journal of Structural Engineering, 119(5):1600-1621.

[19]Mori, Y., Ellingwood, B.R., 2006. Reliability assessment of reinforced concrete walls degraded by aggressive operating environments. Computer Aided Civil Infrastructure Engineering, 21:157-170.

[20]MOT (Ministry of Transport of the People’s Republic of China), 2011. Specification for Inspection and Evaluation of Load-bearing Capacity of Highway Bridges, JTG/T J21-2011. China Communications Press, China (in Chinese).

[21]Paik, J.K., Kim, D.K., 2012. Advanced method for the development of an empirical model to predict time-dependent corrosion wastage. Corrosion Science, 63:51-58.

[22]Prince, P.J., Dormand, J.R., 1981. High order embedded Runge-Kutta formulae. Journal of Computational & Applied Mathematics, 7(1):67-75.

[23]Saassouh, B., Dieulle, L., Grall, A., 2007. Online maintenance policy for a deteriorating system with random change of mode. Reliability Engineering & System Safety, 92(12):1677-1685.

[24]Stewart, M.G., Mullard, J.A., 2007. Spatial time-dependent reliability analysis of corrosion damage and the timing of first repair for RC structures. Engineering Structures, 29(7):1457-1464.

[25]Tang, X.S., Li, D.Q., Rong, G., et al., 2013. Impact of copula selection on geotechnical reliability under incomplete probability information. Computers and Geotechnics, 49:264-278.

[26]Tang, X.S., Li, D.Q., Zhou, C.B., et al., 2015. Copulabased approaches for evaluating slope reliability under incomplete probability information. Structural Safety, 52:90-99.

[27]Wang, C., Li, Q.W., Zou, A.M., et al., 2015. A realistic resistance deterioration model for time-dependent reliability analysis of aging bridges. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 16(7):513-524.

[28]Wang, C., Li, Q.W., Ellingwood, B.R., 2016. Timedependent reliability of aging structures: an approximate approach. Structure and Infrastructure Engineering, Online First.

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