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Efficient robust design optimization of rail bridge hollow pier considering uncertain but bounded type parameters in metamodeling framework

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Abstract

A robust design optimization (RDO) of rail bridge hollow pier (RBHP) under uncertainty is explored in the present paper. Uncertainty information about such structural system is often observed to be insufficient to define involved uncertain parameters probabilistically. Rather, information about bounds of the variability of these uncertain parameters is only available. In such case, parameters are modeled as uncertain but bounded (UBB) type. The conventional reliability-based design optimization cannot be applied with UBB type uncertainty. Keeping this in view, an RDO, which is a relatively newer approach, is explored for RBHP under UBB type uncertainty in the present study. The RDO minimizes cost and deviation of cost simultaneously ensuring constraint feasibility under uncertainty. Literature addressing RDO on RBHP with UBB parameters considering seismic effects is observed to be scarce. As the simulation-based approach would require a tremendous computational time, a moving least squares method (MLSM)-based metamodeling approach has been adopted here to alleviate the computational burden. The RDO results show that guarantee in safe performance and substantially reduced deviation of structural performance can be achieved by the RDO. The behavior of the structure is quite satisfactorily captured by the MLSM predictions than the conventional least squares method-based metamodeling. The computational time is observed to be drastically reduced in the present case in comparison to that by the direct Monte Carlo Simulation.

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References

  • Adeli, H., & Mak, K. Y. (1990). Interactive optimization of plate girder bridges subjected to moving load. Computer Aided Design, 22(6), 368–376.

    Article  Google Scholar 

  • Au, F. T. K., Cheng, Y. S., Tham, L. G., & Zeng, G. W. (2003). Robust Design of structures using convex models. Computers & Structures, 81, 2611–2619.

    Article  Google Scholar 

  • Ben-Tal, A., & Nemirovski, A. (1997). Stable truss topology design via semidefinite programming. SIAM Journal of Optimization, 7, 991–1016.

    Article  MATH  Google Scholar 

  • Beyer, H., & Sendhoff, B. (2007). Robust optimization—a comprehensive survey. Computer Methods in Applied Mechanics and Engineering, 196, 3190–3218.

    Article  MathSciNet  MATH  Google Scholar 

  • Bhattacharjya, S., & Chakraborty, S. (2011). Robust optimization of structures subjected to stochastic earthquake with limited information on system parameter uncertainty. Engineering Optimization, 43(12), 1311–1330.

    Article  MathSciNet  Google Scholar 

  • Bhattacharjya, S., & Chakraborty, S. (2018). An improved robust multi-objective optimization of structure with random parameters. Advances in Structural Engineering. https://doi.org/10.1177/1369433217752626.

    Google Scholar 

  • Chen, X., Fan, J., & Bian, X. (2017). Structural robust optimization design based on convex model. Results in Physics, 7, 3068–3077.

    Article  Google Scholar 

  • Cheng, J. (2010). Optimum design of steel truss arch bridges using a hybrid genetic algorithm. Journal of Constructional Steel Research, 66, 1011–1017.

    Article  Google Scholar 

  • Deb, K. (2001). Multi-objective optimization using evolutionary algorithms. New York: Wiley.

    MATH  Google Scholar 

  • Dey, T. K., Srivastava, I., Khandelwal, R. P., & Chakrabarti, A. (2013). Optimum design of FRP rib core bridge deck. Engineering Structures, 33, 2320–2329.

    Google Scholar 

  • Doltsinis, I., & Kang, Z. (2004). Robust design of structures using optimization methods. Computer Methods in Applied Mechanics and Engineering, 193, 2221–2237.

    Article  MATH  Google Scholar 

  • Ferreira, F., & Simoes, L. (2012). Optimum cost design of controlled cable stayed footbridges. Engineering Structures, 30, 1335–1345.

    Google Scholar 

  • Goswami, S., Ghosh, S., & Chakraborty, S. (2016). Reliability analysis of structures by iterative improved response surface method. Structural Safety, 60, 56–66.

    Article  Google Scholar 

  • Guan, H., Chen, Y. J., Loo, Y. C., Xie, Y. M., & Steven, G. P. (2003). Bridge topology optimisation with stress, displacement and frequency constraints. Computers & Structures, 81(3), 131–145.

    Article  Google Scholar 

  • Gunawan, S., & Azarm, S. (2005). Multi-objective robust optimization using a sensitivity region concept. Structural and Multidisciplinary Optimization, 29(1), 50–60.

    Article  Google Scholar 

  • Hirschen, K., & Schafer, M. (2006). A study on evolutionary multi-objective optimization for flow geometry design. Computational Mechanics, 3, 131–141.

    Article  MATH  Google Scholar 

  • IITK-RDSO. (2005). Guidelines on seismic design of railway bridge. Lucknow: Research Designs and Standards Organisation.

    Google Scholar 

  • Indian Railway Standard (1991). IRS bridge substructure and foundation code. Lucknow: Research Designs and Standards Organisation, Ministry of Railways.

  • Indian Railway Standard (2008). IRS bridge rules. Lucknow: Research Designs and Standards Organisation, Ministry of Railways.

  • IS 456. (2000). Indian standard for plain and reinforced concrete—code of practice. New Delhi: Bureau of Indian Standards.

    Google Scholar 

  • IS: 1893. (2016). Criteria for earthquake resistant design of structures. New Delhi: Bureau of Indian standards.

    Google Scholar 

  • Jurecka, F. (2007). Robust design optimization based on metamodeling techniques. Dissertation, Technische Universität München, Munich, Germany.

  • Kang, Z., & Bai, S. (2013). On robust design optimization of truss structures with bounded uncertainties. Structural and Multidisciplinary Optimization, 47(5), 699–714.

    Article  MathSciNet  MATH  Google Scholar 

  • Kang, Z., & Luo, Y. (2009). Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models. Computer Methods in Applied Mechanics and Engineering, 198, 3228–3238.

    Article  MathSciNet  MATH  Google Scholar 

  • Kang, Z., Luo, Y., & Li, A. (2011). On non-probabilistic reliability based design optimization of structures with uncertain-but-bounded parameters. Structural Safety, 33, 196–205.

    Article  Google Scholar 

  • Kwag, S., & Ok, S. Y. (2013). Robust design of seismic isolation system using constrained multi-objective optimization technique. KSCE Journal of Civil Engineering, 17(5), 1051–1063.

    Article  Google Scholar 

  • Lee, K., & Park, G. (2001). Robust optimization considering tolerances of design variable. Computers & Structures, 79(1), 77–86.

    Article  Google Scholar 

  • Li, F., Sun, G., Huang, X., Rong, J., & Li, Q. (2015). Multiobjective robust optimization for crashworthiness design of foam filled thin-walled structures with random and interval uncertainties. Engineering Structures, 88, 111–124.

    Article  Google Scholar 

  • Marler, R. T., & Arora, J. S. (2010). The weighted sum method for multi-objective optimization: new insights. Structural and Multidisciplinary Optimization, 41(6), 853–862.

    Article  MathSciNet  MATH  Google Scholar 

  • Martínez, J. F., Vidosa, F. G., Hospitaler, A., & Alcalá, J. (2011). Design of tall bridge piers by ant colony optimization. Engineering Structures, 33, 2320–2329.

    Article  Google Scholar 

  • Niranjan, R. S., Bhattacharjya, S., & Ajeesh Kumar, N. S. (2015). Robust design optimization of bridge pier including parameter uncertainty in Monte Carlo simulation framework. International Journal of Innovative Research in Science, Engineering and Technology, 4(9), 39–43.

    Google Scholar 

  • Research Designs & Standard Organizations, RDSO (2008). Standard drawings: open web girders (BG) welded type. Lucknow: Research Designs and Standards Organisation, Ministry of Railways.

  • Schueller, G., & Jensen, H. (2008). Computational methods in optimization considering uncertainties—an overview. Computer Methods in Applied Mechanics and Engineering, 198, 2–13.

    Article  MATH  Google Scholar 

  • SP 24. (1983). Explanatory handbook on Indian standard code of practice for plain and reinforced concrete (IS 456:1978). New Delhi: BIS.

    Google Scholar 

  • Srinivas, V., & Ramanjaneyulu, K. (2007). An integrated approach for optimum design of bridge decks using genetic algorithms and artificial neural networks. Advances in Engineering Software, 38(7), 12–13.

    Article  Google Scholar 

  • Sun, G., Song, X., Beck, S., & Li, Q. (2014). Robust optimization of foam-filled thin-walled structure based on sequential Kriging metamodel. Structural and Multidisciplinary Optimization, 49(6), 897–913.

    Article  Google Scholar 

  • Sung, Y. C., & Su, C. K. (2010). Fuzzy genetic optimization on performance-based seismic design of reinforced concrete bridge piers with single-column type. Optimization and Engineering, 11(3), 471–496.

    Article  MathSciNet  MATH  Google Scholar 

  • Taflanidis, A. A. (2012). Stochastic subset optimization incorporating moving least squares response surface methodologies for stochastic sampling. Advances in Engineering Software, 44, 3–14.

    Article  MATH  Google Scholar 

  • Venanzi, I., Materazzi, A. L., & Ierimonti, L. (2015). Robust and reliable optimization of wind-excited cable-stayed masts. Journal of Wind Engineering and Industrial Aerodynamics, 147, 368–379.

    Article  Google Scholar 

  • Wu, J., Luo, Z., Zhang, N., & Zhang, Y. (2015). A new interval uncertain optimization method for structures using Chebyshev surrogate models. Computers & Structures, 146, 185–196.

    Article  Google Scholar 

  • Xu, J., Spencer, B. F., Lu, X., Chen, X., & Lu, L. (2017). Optimization of structures subject to stochastic dynamic loading. Computer-Aided Civil and Infrastructure Engineering, 32(8), 657–673.

    Article  Google Scholar 

  • Yonekura, K., & Kanno, Y. (2010). Global optimization of robust truss topology via mixed integer semidefinite programming. Optimization & Engineering, 11(3), 355–379.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India

    Soumya Bhattacharjya, Sanniv Banerjee & Gaurav Datta

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  1. Soumya Bhattacharjya
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  2. Sanniv Banerjee
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  3. Gaurav Datta
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Correspondence to Soumya Bhattacharjya.

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Bhattacharjya, S., Banerjee, S. & Datta, G. Efficient robust design optimization of rail bridge hollow pier considering uncertain but bounded type parameters in metamodeling framework. Asian J Civ Eng 19, 679–692 (2018). https://doi.org/10.1007/s42107-018-0058-8

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  • DOI: https://doi.org/10.1007/s42107-018-0058-8

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