Abstract
This paper presents a practical methodology for designing group piles of a bridge foundation that can minimize the construction cost. The constraint functions for the designed pile group are constructed according to the design code currently adopted in local engineering practice. A new procedure based on the discrete Lagrange multiplier (DLM) method is proposed for searching the optimal solution. Seven real-world design cases are used to test the validity and the performance of the proposed procedure and algorithm, in which the DLM solutions are compared with the global optimum solutions obtained by the exhaustive searching method (ESM). Vast improvement in the computational efficiency is achieved, as the DLM method can find local minimum solutions in less than 2.0 to 4.0 minutes whereas the time required with the ESM is 10,000 to 25,000 times longer. In the case studies presented, the construction costs in conjunction with the use of the DLM method differ from the global minimum costs by less than 6.0%, but the savings over the original designs can be as high as 13% to 56%.
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References
Chan CM, Zhang LM, Ng JTM (2009) Optimization of pile groups using hybrid genetic algorithms. J Geotech Geoenviron Eng 135(4):497–505
Chang YL (1937) Discussion on lateral pile-loading tests. Trans ASCE 102:272–278
Chow YK, Thevendran V (1987) Optimization of pile groups. Comput Geotech 4(1):43–58
Chung MC (2006) Optimum design of piled foundations. PhD Dissertation, Department of Civil Engineering, National Central University, Jhong-li, Taiwan
Hanna AM, Morcous G, Helmy M (2004) Efficiency of pile groups installed in cohesionless soil using artificial neural networks. Can Geotech J 41(6):1241–1249
Hoback AS, Truman KZ (1993) Least weight design of steel pile foundations. Eng Struct 15(5):379–385
Huang Z, Hinduja S (1986) Shape optimization of a foundation for a large machine tool. Int J Mach Tool Des Res 26(2):85–97
Hurd AJ, Truman KZ (2006) Optimization method of pile foundations. In: Proceedings of an international conference on advances in engineering structures, mechanics & construction, Waterloo, Ontario, Canada, 14–17 May, pp 653–661
Japan Road Association (2002a) Specifications for highway bridges part IV: substructures. Tokyo, Japan
Japan Road Association (2002b) Specifications for highway bridges part V: seismic design. Tokyo, Japan
Kim KN, Lee SH, Kim KS, Chung CK, Kim MM, Lee HS (2001) Optimal pile arrangement for minimizing differential settlements in piled raft foundations. Comput Geotech 28:235–253
Kim HT, Koo HK, Kang IK (2002) Genetic algorithm-based optimum design of piled raft foundations with model tests. J Southeast Asian Geotech Soc 33(1):1–11
Liu JL (1992) The method for calculating the separate synthetic pile group coefficients of lateral bearing capacity. J Soil Rock Eng 14(3):9–19
Ng JTM, Chan CM, Zhang LM (2005) Optimum design of pile groups in nonlinear soil using genetic algorithms. In: Proceedings of the 8th international conference on the application of artificial intelligence to civil, structural and environmental engineering, Rome, Italy, 30 August–2 September, 2005, paper 35. doi:10.4203/ccp.82.35
The Chinese Institute of Civil and Hydraulic Engineering (2005) Design code and commentary to concrete engineering (DCCCE). Scientific & Technical Publishing, Taiwan
Valliappan S, Tandjiria V, Khalili N (1999) Design of raft-pile foundation using combined optimization and finite element approach. Int J Numer Anal Methods Geomech 23(10):1043–1065
Yang KJ, Han LA (1997) Pile engineering. China Communications Press, Beijing, pp 13–77
Shang Y, Wah BW (1998) A discrete Lagrangian-based global search method for solving satisfiability problems. J Glob Optim 12(1):61–99
Wu Z (1998) The discrete Lagrangian theory and its application to solve nonlinear discrete constrain optimization problems. Master Thesis, Department of Computer Science, University of Illinois at Urbana-Champaign
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Hwang, JH., Chung, MC., Juang, DS. et al. Practical optimization of group piles using discrete Lagrange multiplier method. Optim Eng 12, 83–109 (2011). https://doi.org/10.1007/s11081-010-9117-z
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DOI: https://doi.org/10.1007/s11081-010-9117-z