Skip to main content

Advertisement

SpringerLink
Log in

Resilience-based seismic design optimization of highway RC bridges by response surface method and improved non-dominated sorting genetic algorithm

  • Original Article
  • Published:
Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

In this study, a resilience-based multi-objective optimal seismic design method is proposed to maximize the seismic performance and minimize the material cost of highway reinforced concrete (RC) bridges. The size of the elastomeric bearings and cross-sectional arrangement of the RC pier are selected as the design parameters. To improve the accuracy and efficiency, the nonlinear time history analysis based on cloud analysis approach and response surface method are applied to obtain the seismic resilience during the seismic optimization process. The optimization problem is solved through an improved non-dominated sorting genetic algorithm (NSGA-II). Following, the proposed method is applied to a highway RC bridge, and the optimal design schemes are determined from the Pareto optimal solutions. The numerical results show that the resilience response surface model can be used to predict the seismic resilience of bridges. Moreover, the proposed method can minimize the material cost and maximize the seismic resilience by adjusting the damage grades of various bridge components.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

Data availability

The datasets used or analysed during the current study are available from the corresponding author on reasonable request.

Code availability

The codes generated or used during the current study are available from the corresponding author on reasonable request.

Notes

  1. The “ideal” point can be defined as the point which has the best value of each objective function.

References

  • Anwar GA, Dong Y, Zhai C (2020) Performance-based probabilistic framework for seismic risk, resilience, and sustainability assessment of reinforced concrete structures. Adv Struct Eng 23(7):1454–1472

    Article  Google Scholar 

  • Basoz N, Kiremidjian AS (1998) Evaluation of bridge damage data from the Loma Prieta and Northridge, California earthquakes. Technical Rep. MCEER, U.S. Multidisciplinary Center for Earthquake Engineering Research (MCEER), Buffalo, New York

  • Bocchini P, Frangopol DM, Ummenhofer T, Zinke T (2014) Resilience and sustainability of civil infrastructure: toward a unified approach. J Infrastruct Syst 20(2):04014004

    Article  Google Scholar 

  • Box GEP, Wilson KB (1951) On the experimental attainment of optimum conditions. J Roy Stat Soc: Ser B 13(1):1–38

    Google Scholar 

  • Bruneau M, Chang SE, Eguchi RT et al (2003) A framework to quantitatively assess and enhance the seismic resilience of communities. Earthq Spectra 19(4):733–752

    Article  Google Scholar 

  • Choi ES, DesRoches R, Nielson B (2004) Seismic fragility of typical bridges in moderate seismic zones. Eng Struct 26(2):187–199

    Article  Google Scholar 

  • Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182–197

    Article  Google Scholar 

  • Dong Y, Frangopol DM (2015) Risk and resilience assessment of bridges under mainshock and aftershocks incorporating uncertainties. Eng Struct 83:198–208

    Article  Google Scholar 

  • Dong Y, Frangopol DM (2016) Probabilistic time-dependent multihazard life-cycle assessment and resilience of bridges considering climate change. J Perform Constr Facil 30(5):04016034

    Article  Google Scholar 

  • Dong Y, Frangopol DM, Sabatino S (2015) Optimizing bridge network retrofit planning based on cost-benefit evaluation and multi-attribute utility associated with sustainability. Earthq Spectra 31(4):2255–2280

    Article  Google Scholar 

  • Fazli H, Pakbaz A (2018) Performance-based seismic design optimization for multi-column RC bridge piers, considering quasi-isolation. Int J Optim Civ Eng 8(4):525–545

    Google Scholar 

  • Fu Z, Gao R, Li Y (2020) Probabilistic seismic resilience-based cost-benefit analysis for bridge retrofit assessment. Arab J Sci Eng 45(10):8457–8474

    Article  Google Scholar 

  • Gholizadeh S, Fattahi F (2019) Multi-objective design optimization of steel moment frames considering seismic collapse safety. Eng Comput 3:1–14

    Google Scholar 

  • HAZUS (1999) Earthquake loss estimation methodology. National Institute of Building Sciences for Federal Emergency Management Agency, Washington (DC)

    Google Scholar 

  • HPDIMC (Highway Planning and Design Institute of the Ministry of Communications) (2018) Specifications for design of highway reinforced concrete and prestressed concrete bridges and culverts, Beijing. (in Chinese)

  • Hu SC, Wang LH, Li LF, Wu ZH (2019) Time-dependent seismic fragility assessment of offshore bridges subject to non-uniform chloride-induced corrosion. Chin Civil Eng J 52(4):62–71 (in Chinese)

    Google Scholar 

  • Khalkhali A (2015) Best compromising crashworthiness design of automotive S-rail using TOPSIS and modified NSGAII. J Central South Univ 22(1):121–133

    Article  Google Scholar 

  • Kwon OS, Elnashai A (2006) The effect of material and ground motion uncertainty on the seismic vulnerability curves of RC structure. Eng Struct 28(2):289–303

    Article  Google Scholar 

  • Li YJ, Li HN (2018) Interactive evolutionary multi-objective optimization and decision-making on life-cycle seismic design of bridge. Adv Struct Eng 21(15):2227–2240

    Article  Google Scholar 

  • Liu K, Zhai C, Dong Y (2020) Optimal restoration schedules of transportation network considering resilience. Struct Infrastruct Eng. https://doi.org/10.1080/15732479.2020.1801764

    Article  Google Scholar 

  • Mangalathu S, Jeon JS, Padgett JE, DesRoches R (2016) ANCOVA-based grouping of bridge classes for seismic fragility assessment. Eng Struct 123:379–394

    Article  Google Scholar 

  • McKenna F, Fenves GL, Scott MH (2000) Open system for earthquake engineering simulation. University of California, Berkeley, CA

    Google Scholar 

  • Mela K, Tiainen T, Heinisuo M (2012) Comparative study of multiple criteria decision making methods for building design. Adv Eng Inform 26(4):716–726

    Article  Google Scholar 

  • MOHURD (Ministry of Housing and Urban-Rural Development of the People’s Republic of China) (2011) Guidelines for seismic design of highway bridges, Beijing (in Chinese)

  • Mokarram V, Banan MR (2018) An improved multi-objective optimization approach for performance-based design of structures using nonlinear time-history analyses. Appl Soft Comput 73:647–665

    Article  Google Scholar 

  • Nielson BG, DesRoches R (2007) Seismic fragility methodology for highway bridges using a component level approach. Earthq Eng Struct Dynam 36(6):823–839

    Article  Google Scholar 

  • Pang Y, Wei K, Yuan W (2020) Life-cycle seismic resilience assessment of highway bridges with fiber-reinforced concrete piers in the corrosive environment. Eng Struct 222:111120

    Article  Google Scholar 

  • Papavasileiou GS, Charmpis DC (2016) Seismic design optimization of multi-storey steel-concrete composite buildings. Comput Struct 170:49–61

    Article  Google Scholar 

  • Papila M, Haftka RT (2000) Response surface approximations: noise, error repair, and modeling errors. AIAA J 38(12):2336–2343

    Article  Google Scholar 

  • Ramanathan K, Padgett JE, DesRoches R (2015) Temporal evolution of seismic fragility curves for concrete box-girder bridges in California. Eng Struct 97:29–46

    Article  Google Scholar 

  • Rojas HA, Foley C, Pezeshk S (2011) Risk-based seismic design for optimal structural and nonstructural system performance. Earthq Spectra 27(3):857–880

    Article  Google Scholar 

  • Shome N, Cornell CA, Bazzurro P, Carballo JE (1998) Earthquakes, records, and nonlinear responses. Earthq Spectra 14(3):469–500

    Article  Google Scholar 

  • Silva PF, Megally S, Seible F (2009) Seismic performance of sacrificial exterior shear keys in bridge abutments. Earthq Spectra 25(3):643–664

    Article  Google Scholar 

  • Sun X, Kim S, Yang SD et al (2017) Multi-objective optimization of a Stairmand cyclone separator using response surface methodology and computational fluid dynamics. Powder Technol 320:51–65

    Article  Google Scholar 

  • Sung YC, Su CK (2010) Fuzzy genetic optimization on performance-based seismic design of reinforced concrete bridge piers with single-column type. Optim Eng 11(3):471–496

    Article  Google Scholar 

  • Verma R, Priestley MN (1990) Optimization of seismic design of single column circular reinforced concrete bridge piers. University of California, San Diego

    Google Scholar 

  • Wang Z, Lee GC (2009) A comparative study of bridge damage due to the Wenchuan, Northridge, Loma Prieta and San Fernando earthquakes. Earthq Eng Eng Vib 8(2):251–261

    Article  Google Scholar 

  • Wilson P, Elgamal A (2010) Large-scale passive earth pressure load-displacement tests and numerical simulation. J Geotech Geoenviron Eng 136(12):1634–1643

    Article  Google Scholar 

  • Xie Y, Zhang J (2018) Design and optimization of seismic isolation and damping devices for highway bridges based on probabilistic repair cost ratio. J Struct Eng 144(8):04018125

    Article  Google Scholar 

  • Xie Y, DesRoches R (2019) Sensitivity of seismic demands and fragility estimates of a typical California highway bridge to uncertainties in its soil-structure interaction modeling. Eng Struct 189:605–617

    Article  Google Scholar 

  • Zhang J, Huo Y (2009) Evaluating effectiveness and optimum design of isolation devices for highway bridges using the fragility function method. Eng Struct 31(8):1648–1660

    Article  Google Scholar 

Download references

Funding

This study was supported by the Natural Science Foundation of Jiangxi Province of China (No. 20192BAB216033), the China Postdoctoral Science Foundation (No. 2020M671972) and the Support plan for scientific and technological innovation and entrepreneurship team of enterprises in Hunan Province (2020).

Author information

Authors and Affiliations

  1. School of Civil Engineering and Architecture, Nanchang University, Nanchang, China

    Sicong Hu, Baokui Chen & Guquan Song

  2. College of Civil Engineering, Hunan University, Changsha, China

    Lianhua Wang

  3. Key Laboratory for Wind and Bridge Engineering of Hunan Province, Hunan University, Changsha, China

    Lianhua Wang

Authors
  1. Sicong Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Baokui Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Guquan Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Lianhua Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Sicong Hu or Lianhua Wang.

Ethics declarations

Conflict of interest

All authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix

Appendix

See Table 9.

Table 9 50 bridge samples in the resilience response surface model development
Full size table

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hu, S., Chen, B., Song, G. et al. Resilience-based seismic design optimization of highway RC bridges by response surface method and improved non-dominated sorting genetic algorithm. Bull Earthquake Eng 20, 449–476 (2022). https://doi.org/10.1007/s10518-021-01232-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-021-01232-8

Keywords

Search

Navigation