Abstract
The performance and safety of a geotechnical engineering system are affected by uncertainties. The purpose of Reliability-Based Optimization (RBO) is to find a balanced design that is not only economical but also reliable in the presence of uncertainties. Numerous reliability optimization techniques have been proposed. In this study, the Artificial Bee Colony (ABC) algorithm is employed for reliable optimization of a geotechnical engineering system. The proposed ABC-RBO method combines ABC and First Order Reliability Methods (FORM). Optimization is performed with ABC, while the reliability analysis is performed with FORM, incorporating Excel solver. The proposed method is verified by two geotechnical engineering examples and compared with other methods, and shown to be robust, accurate, and feasible.
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Andre, T. B. and Wellison, J. S. G. (2012). “A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty.” Probabilistic Engineering Mechanics, Vol. 28, No. 1, pp. 18–29, DOI: 10.1016/j.probengmech.2011.08.007.
Byeng, D. Y. and Kyung, K. C. (2004). “A new response surface methodology for reliability-based design optimization.” Computers and Structures, Vol. 82, Nos. 2–3, pp. 241–256, DOI: 10.1016/j.compstruc.2003.09.002.
Ching, J. (2009). “Equivalence between reliability and factor of safety.” Probabilistic Engineering Mechanics, Vol. 24, No. 2, pp. 159–171, DOI: 10.1016/j.probengmech.2008.04.004.
Craig, R. F. (1997). Soil mechanics, 6th Ed., Chapman & Hall, New York.
Fenton, G. A., Griffiths, D. V., and Zhang, X. Y. (2008). “Load and resistance factor design of shallow foundations against bearing failure.” Canadian Geotechnical Journal, Vol. 45, No. 11, pp. 1556–1571, DOI: 10.1139/T08-061.
Gen, M. and Yun, Y. (2006). “Soft computing approach for reliability optimization: State-of-the-art survey.” Reliability Engineering and System Safety, Vol. 91, No. 9, pp. 1008–1026, DOI: 10.1016/j.ress.2005.11.053.
Gomes, H. M., Armando, M. A., and Paulo, A. M. L. (2011). “Reliability based optimization of laminated composite structures using genetic algorithms and artificial neural networks.” Structural Safety, Vol. 33, No. 3, pp. 186–195, DOI: 10.1016/j.strusafe.2011.03.001.
Gong, W., Wang, L., Juang, C. H., Zhang, J., and Huang, H. (2014). “Robust geotechnical design of shield-driven tunnels.” Computers and Geotechnics, Vol. 56, pp. 191–201, DOI: 10.1016/j.compgeo.2013.12.006.
Hasofer, A. M. and Lind, N. C. (1974). “Exact and invariant second moment code format.” Journal of Engineering Mechanics, Vol. 100, No. 1, pp. 111–121.
Irfan, K. and Kurt, M. (2007). “Reliability-based design optimization for elastoplastic mechanical structures.” Computers and Structures, Vol. 85, No. 10, pp. 615–625, DOI: 10.1016/j.compstruc.2006.08.076.
Kang, F., Li, J., and Xu, Q. (2009). “Structural inverse analysis by hybrid simplex artificial bee colony algorithms.” Computers and Structures, Vol. 87, Nos. 13–14, pp. 861–870, DOI: 10.1016/j.compstruc.2009.03.001.
Karaboga, D. (2005). An idea based on honey bee swarm for numerical optimization, Technical Report-TR06, Erciyes University, Engineering Faculty, Computer Engineering Department.
Karaboga, D. and Basturk, B. (2008). “On the performance of artificial bee colony (ABC) algorithm.” Applied Soft Computing, Vol. 8, No. 1, pp. 687–697, DOI: 10.1016/j.asoc.2007.05.007.
Karaboga, D. and Ozturk, C. (2011). “A novel clustering approach: Artificial Bee Colony (ABC) algorithm.” Applied Soft Computing, Vol. 11, No. 1, pp. 652–657, DOI: 10.1016/j.asoc.2009.12.025.
Knut, O. R. (1999). “Reliability-based optimization of design code for tension piles.” Journal of Geotechnical and Geoenviromental Engineering, Vol. 125, pp. 690–695.
Langford, J. C. and Diederichs, M. S. (2013). “Reliability based approach to tunnel lining design using a modified point estimate method.” International Journal of Rock Mechanics & Mining Sciences, Vol. 60, pp. 263–276, DOI: 10.1016/j.ijrmms.2012.12.034.
Low, B. K. (2004). “Reliability analysis using object-oriented constrained optimization.” Structural Safety, Vol. 26, No. 1, pp. 69–89, DOI: 10.1016/S0167-4730(03)00023-7.
Low, B. K. and Tang, W. H. (1997a). “Reliability analysis of reinforced embankments on soft ground.” Canada Geotechnical Journal, Vol. 34, No. 5, pp. 672–685, DOI: 10.1139/t97-032.
Low, B. K. and Tang, W. H. (1997b). “Efficient reliability evaluation using spreadsheet.” Journal of Engineering Mechanics, Vol. 123, No. 7, pp. 749–752, DOI: 10.1061/(ASCE)0733-9399(1997)123:7(749).
Low, B. K. and Tang, W. H. (2007). “Efficient spreadsheet algorithm for first-order reliability method.” Journal of Engineering Mechanics, Vol. 133, No. 12, pp. 1378–1387, DOI: 10.1061/(ASCE)0733-9399(2007)133:12(1378).
Manolis, P. and Nikos, D. L. (2002). “Reliability-based structural optimization using neural networks and Monte Carlo Simulation.” Computer Methods and Application in Mechanical Engineering, Vol. 191, No. 32, pp. 3491–3507, DOI: 10.1016/S0045-7825(02)00287-6.
Marcos, A. V. and Gerhart, I. S. (2010). “A survey on approaches for reliability-based optimization.” Structural Multidisciplinary Optimization, Vol. 42, No. 5, pp. 645–663, DOI: 10.1007/s00158-010-0518-6.
Phoon, K. K., Kulhawy, F. H., and Grigoriu, M. D. (2003). “Development of a reliability-based design framework for transmission line structure foundations.” ASCE Journal of Geotechnical and Geoenvironmental Engineering, Vol. 129, No. 9, pp. 798–806, DOI: 10.1061/(ASCE)1090-0241(2003).
Rackwitz, R. (2001). “Reliability analysis-a review and some perspectives.” Structural Safety, Vol. 23, No. 4, pp. 365–395.
Samer, A. B., Abdallah, I. H. M., and Raed, H. T. (1999). “Reliabilitybased optimization of laterally loaded piles.” Structural Safety, Vol. 21, No. 1, pp. 45–64, DOI: 10.1016/S0167-4730(99)00004-1.
Schuëller, G. I., Pradlwarter, H. J., and Beck, J., and Koutsourelakis, P. S. (2005). Benchmark study on reliability estimation in higher dimensions of structural systems-an overview, In: Soize C, Schuëller GI (eds) Structural dynamics EURODYN 2005-Proceedings of the 6th international conference on structural dynamics. Millpress, Rotterdam, pp. 717–722.
Song, C. Y. and Lee, J. (2011). “Reliability-based design optimization of kunckle component using conservative method of moving least squares meta-models.” Probabilistic Engineering Mechanics, Vol. 26, No. 2, pp. 364–379, DOI: 10.1016/j.probengmech.2010.09.004.
Song, C. Y., Lee, J., and Choung, J. M. (2011). “Reliability-based design optimization of an FPSO riser support using moving least squares response surface meta-models.” Ocean Engineering, Vol. 38, Nos. 2–3, pp. 304–318, DOI: 10.1016/j.oceaneng.2010.11.001.
Sonmez, M. (2011). “Articial Bee Colony algorithm for optimization of truss structures.” Applied Soft Computing, Vol. 11, No. 2, pp. 2406–2418, DOI: 10.1016/j.asoc.2010.09.003
Vesic, A. S. (1975). “Bearing capacity of shallow foundations.” Foundation engineering handbook. H. Winterkon and H. Y. Fang, eds. Van Nostrand Reinhold, New York.
Wang, Y. (2009). “Reliability-based economic design optimization of spread foundations.” Journal of Geotechnical and Geoenviromental Engineering, Vol. 135, No. 7, pp. 954–959, DOI: 10.1061/(ASCE)GT.1943-5606.0000551.
Wang, Y. (2011). “Reliability-based design of spread foundations by Monte Carlo Simulations.” Géotechnique, Vol. 61, No. 8, pp. 677–685, DOI: 10.1680/geot.10.P.016.
Wang, Y., Au, S. K., and Kulhawy, F. H. (2011). “Expanded reliabilitybased design approach for drilled shafts.” ASCE Journal of Geotechnical and Geoenvironmental Engineering, Vol. 137, No. 2, pp. 140–149, DOI: 10.1061/(ASCE)GT.1943-5606.0000421.
White, R. V. and Richart, F. E. (1967). “Design procedures for dynamically loaded foundations.” Journal of Soil Mechanics and Foundation, Division., Vol. 93, No. SM6, pp. 169–193.
Yang, I. T. and Hsieh, Y. H. (2011). “Reliability-based design optimization with discrete design variables and non-smooth performance functions: AB-PSO algorithm.” Automation in Construction, Vol. 20, No. 5, pp. 610–619, DOI: 10.1016/j.autcon.2010.12.003.
Zhang, J., Zhang, L. M., and Tang, W. H. (2011). “Reliability-based optimization of geotechnical system.” Journal of Geotechnical and Geoenviromental Engineering, Vol. 137, No. 12, pp. 1211–1221, DOI: 10.1061/(ASCE)GT.1943-5606.0000551.
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Zhao, H., Zhao, M. & Zhu, C. Reliability-based optimization of geotechnical engineering using the artificial bee colony algorithm. KSCE J Civ Eng 20, 1728–1736 (2016). https://doi.org/10.1007/s12205-015-0117-6
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DOI: https://doi.org/10.1007/s12205-015-0117-6