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Application of Micro-GA for optimal cost base isolation design of bridges subject to transient earthquake loads

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Abstract

Seismic isolation and energy dissipation systems are innovative strategies for seismic design and upgrade or retrofit of bridges. In a retrofit design, base isolation devices can be easily incorporated into existing bridges to replace conventional bearings and to improve the overall structural performance. In this paper, an optimal cost base isolation design or retrofit design method for bridges subject to transient earthquake loads is studied. The goal of this study is to push forward the concept of retrofit design optimization of structures using this isolation design as an example. This is achieved by combining nonlinear time history analyses with an optimization procedure to select base isolators that minimize the cost of the isolation system while satisfying certain design requirements. An improved genetic algorithm (GA), Micro-GA, is employed to search for the optimal solutions for such discrete optimization problems. An example of the optimal design of a highway bridge is presented and the minimum cost expense of the isolation system is achieved with improved structural response under multiple transient earthquake loads.

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References

  • AASHTO (1999) Guide specifications for seismic isolation design. AASHTO, Washington, DC

    Google Scholar 

  • Arora JS, Huang MW (1994) Method for optimization of nonlinear problems with discrete variables: a review. Struct Optim 8:69–85

    Article  Google Scholar 

  • Baratta A, Corbi I (2004) Optimal design of base-isolators in multi-storey buildings. Comput Struct 82:2199–2209

    Article  Google Scholar 

  • Bhatti MA, Pister KS (1981) A dual criteria approach for optimal design of earthquake-resistant structural systems. Earthq Eng Struct Dyn 9:557–572

    Google Scholar 

  • Carroll DL (1996) Genetic algorithms and optimizing chemical oxygen-iodine lasers. In: Wilson HB, Batra RC, Bert CW, Davis AMJ, Schapery RA, Stewart DS, Swinson FF (eds) Developments in theoretical and applied mechanics, vol XVIII. School of Engineering, The University of Alabama, Birmingham, pp 411–424

    Google Scholar 

  • Choi WS, Park GJ (2002) Structural optimization using equivalent static loads at all time intervals. Comput Methods Appl Mech Eng 191(19–20):2077–2094

    Google Scholar 

  • Cohn MZ, Lounis Z (1994) Optimal design of structural concrete bridge systems. J Struct Eng ASCE 120(9):2653–2674

    Article  Google Scholar 

  • CSI (2007) CSI analysis reference manual for SAP2000, ETABS, and SAFE. Computers and Structures, Inc., Berkeley

    Google Scholar 

  • Fragiacomo M, Rajgelj S, Cimadom F (2003) Design of bilinear hysteretic isolation systems. Earthq Eng Struct Dyn 32:1333–1352

    Article  Google Scholar 

  • Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Reading

    MATH  Google Scholar 

  • Grandhi RV, Haftka RT, Watson LT (1986) Design-oriented identification of critical times in transient response. AIAA J 24:649–656

    Article  Google Scholar 

  • Guan H, Chen Y-J, Loo Y-C, Xie Y-M, Steven GP (2003) Bridge topology optimization with stress, displacement and frequency constraints. Comput Struct 81(3):131–145

    Article  Google Scholar 

  • Hassanain M, Loov RE (2003) Cost optimization of concrete bridge infrastructure. Can J Civ Eng 30(5):841–849

    Article  Google Scholar 

  • Imbsen RA (2001) Use of isolation for seismic retrofitting bridges. J Bridge Eng ASCE 6(6):425–438

    Article  Google Scholar 

  • Jangid RS (2004) Seismic response of isolated bridges. J Bridge Eng ASCE 9(2):156–166

    Article  Google Scholar 

  • Kawashima K (2004) Seismic isolation of highway bridges. J Jpn Assoc Earthq Eng 4(3):593–606

    Google Scholar 

  • Kocer FY, Arora JS (2002) Optimal design of latticed towers subjected to earthquake loading. J Struct Eng ASCE 128(2):197–204

    Article  Google Scholar 

  • Krishnakumar K (1989) Micro-genetic algorithms for stationary and non-stationary function optimization. In: SPIE: Intelligent control and adaptive systems, vol 1196. Philadelphia

  • Kunde MC, Jangid RS (2003) Seismic behavior of isolated bridges: a-state-of-the-art review. Electronic J Struct Eng 3:140–170

    Google Scholar 

  • Lee J, Kim S-M, Park H-S, Woo B-H (2005) Optimum design of cold-formed steel channel beams using Micro Genetic Algorithm. Comput Struct 27:17–24

    Google Scholar 

  • Lin W-J (1998) Modern computational environments for seismic analysis of highway bridge structures. Ph.D. dissertation, University of Maryland, MD, USA

  • Long W, Troitsky MS, Zielinski ZA (1999) Optimum design of cable-stayed bridges. Struct Eng Mech 7(3):241–257

    Google Scholar 

  • Naeim F, Kelly JM (1999) Design of seismic isolated structures: from theory to practice. Wiley, Chichester

    Book  Google Scholar 

  • Nagarajaiah S, Reinhorn AM, Constantinou MC (1991) 3D-basis: nonlinear dynamic analysis of three-dimensional base isolated structures: part II, technical report NCEER-91-0005. National Center for Earthquake Engineering Research, State University of New York at Buffalo, Buffalo

    Google Scholar 

  • Negrão JHO, Simões LMC (1997) Optimization of cable-stayed bridges with three-dimensional modelling. Comput Struct 64(1–4):741–758

    Article  MATH  Google Scholar 

  • Osyczka A, Kundu S (1996) A modified distance method for multicriteria optimization, using Genetic Algorithms. Comput Ind Eng 30(4):871–882

    Article  Google Scholar 

  • Pantelides CP, Alameddine F, Sardo T, Imbsen R (2004) Seismic retrofitting of state street bridge on interstate 80. J Bridge Eng ASCE 9(4):333–342

    Article  Google Scholar 

  • Park YJ, Wen YK, Ang AH-S (1986) Random vibration of hysteretic systems under bi- directional ground motions. Earthq Eng Struct Dyn 14:543–557

    Article  Google Scholar 

  • Pezeshk S, Camp CV, Chen D (2000) Design of nonlinear framed structures using genetic optimization. J Struct Eng ASCE 126(3):382–388

    Article  Google Scholar 

  • Priestley MJN, Seible F, Calvi GM (1996) Seismic design and retrofit of bridges. Wiley, New York

    Book  Google Scholar 

  • Rahmatalla S, Swan C (2003) Form finding of sparse structures with continuum topology optimization. J Struct Eng ASCE 129(12):1707–1716

    Article  Google Scholar 

  • Ruangrassamee A, Kawashima K (2003) Control of nonlinear bridge response with pounding effect by variable dampers. Eng Struct 25(5):593–606

    Article  Google Scholar 

  • Saiidi M, Maragakis E, Griffin G (1999) Effect of base isolation on seismic response of multi-column bridges. Struct Eng Mech 8:411–419

    Google Scholar 

  • Savage I, Eddy JC, Orsolini GI (1999) Seismic analysis and base isolation retrofit design of a steel truss vertical lift bridge. Comput Struct 52(2):309–321

    Google Scholar 

  • Skinner RI, Robinson WH, McVerry GH (1993) An introduction to seismic isolation. Wiley, New York

    Google Scholar 

  • Truman KZ, Cheng FY (1997) How to optimize for earthquake loads. In: Arora JS (ed) Guide to structural optimization. ASCE manuals and report on engineering practice, no. 90. ASCE, New York, pp 237–261

    Google Scholar 

  • Zou X-K (2002) Optimal seismic performance-based design of reinforced concrete buildings. Ph.D. dissertation, Hong Kong University of Science and Technology, Hong Kong, P.R. China

  • Zou X-K, Chan C-M (2004) Integrated time history analysis and performance-based design optimization of base-isolated concrete buildings. In: Proc. 13th world conference on earthquake engineering, paper no 1314, Vancouver, Canada

  • Zou X-K, Chan C-M (2005) An optimal resizing technique for seismic drift design of concrete buildings subjected to response spectrum and time history loadings. Comput Struct 83:1689–1704

    Article  Google Scholar 

Download references

Acknowledgements

The authors would acknowledge the generous assistance provided by Prof. Fu-Lin Zhou and Dr. Zhong-Gen Xu at Guangzhou University, Guangdong, P.R. China; and Mr. Shou-Long Fong from Shantou Vibro Tech Industrial and Development Co. Ltd., P.R. China.

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Authors and Affiliations

  1. Kal Krishnan Consulting Services, Inc., 300 Lakeside Drive, Ste. 220, Oakland, CA, 94612, USA

    Qian Wang

  2. Department of Mechanical Engineering & Engineering Science, University of North Carolina at Charlotte, Charlotte, NC, 28223, USA

    Hongbing Fang

  3. Ove Arup & Partners Hong Kong Ltd, Level 5 Festival Walk, 80 Tat Chee Avenue, Kowloon Tang, Kowloon, Hong Kong, Peoples’ Republic of China

    Xiao-Kang Zou

Authors
  1. Qian Wang
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  2. Hongbing Fang
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  3. Xiao-Kang Zou
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Correspondence to Qian Wang.

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Wang, Q., Fang, H. & Zou, XK. Application of Micro-GA for optimal cost base isolation design of bridges subject to transient earthquake loads. Struct Multidisc Optim 41, 765–777 (2010). https://doi.org/10.1007/s00158-009-0470-5

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  • DOI: https://doi.org/10.1007/s00158-009-0470-5

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