Technical Papers
Apr 3, 2020

Optimization Method for a Lap-Assembled Parabolic Concrete Channel Structure

Publication: Journal of Irrigation and Drainage Engineering
Volume 146, Issue 6

Abstract

Based on the structural force analysis of a lap-assembled parabolic concrete channel, it is thought that the longitudinal tensile stress is the main factor that influences channel damage. The locations where the channel is most likely to be damaged were determined, and an optimization model was established with the tensile-stress value of the structure most prone to damage area as the objective function. The calculation method of the optimization model parameters is proposed, and the calculation formula of the lap assembled parabolic concrete channel structure is derived. The multi-objective optimization model is transformed into a single-objective model by using the weighted sum method, and the resulting model was solved with the Fmincon function in MATLAB R2010a. The example analysis shows that the channel with the optimum structure section obtained by optimization is better than the channel of the practical economic section in hydraulic performance and structural force performance, and the breadth–depth ratio is reduced by 48.51%, which greatly reduces the occupied land area. In a comparison with the optimum hydraulic cross section, the hydraulic performance of the optimum structure section was slightly worse, but the breadth–depth ratio decreased by 22.98%. Regarding the structural force performance, the transverse maximum tensile stress of the channel with the optimum structure section increased by 6.02%, the longitudinal tensile stress decreased by 5.63%, while the longitudinal tensile stress was the primary influencing factor of channel damage. Therefore, the optimum structure section is better than the optimum hydraulic cross section, which indicates that the optimization method is feasible and can provide significant guidance for the structural optimization of an assembled channel and similar structures.

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Data Availability Statement

All of the data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This work was financially supported by the 13th Five-Year Plan for the National Key Project of Research and Development (grant No. 2016YFC0400203), the Fundamental Research Funds for the Central Universities (grant No.Z102021848, Z109021807). The authors express gratitude to Professor Li Zongli and Professor Lou Zongke for their guidance and assistance on this paper.

References

Achour, B., and M. Khattaoui. 2008. “Computation of normal and critical depths in parabolic cross sections.” Open Civ. Eng. J. 2 (1): 9–14. https://doi.org/10.2174/1874149500802010009.
Biswas, R. K., and S. Mallik. 2000. “Performance of burnt clay tiles in lining different small irrigation channels of geometric shape.” Karnataka J. Agric. Sci. 13 (3): 682–686.
Chahar, B. R. 2005. “Optimal design of parabolic canal section.” J. Irrig. Drain. Eng. 131 (6): 546–554. https://doi.org/10.1061/(ASCE)0733-9437(2005)131:6(546).
Flynn, L. E., and M. A. Marino. 1987. “Canal design: optimal cross section.” J. Irrig. Drain. Eng. 113 (3): 335–355. https://doi.org/10.1061/(ASCE)0733-9437(1987)113:3(335).
Guo, C. Y., and W. C. Hughes. 1984. “Optimal channel cross section with freeboard.” J. Irrig. Drain. Eng. 110 (3): 304–314. https://doi.org/10.1061/(ASCE)0733-9437(1984)110:3(304).
Hill, J. J., and F. J. Laumann. 1995. “First precast concrete box culverts in Minnesota.” Transp. Res. Rec. 1514 (1): 22–28.
Hong, X. L., S. X. Wu, and F. X. Liu. 2001. “Study and spread of fabricated structure technique in irrigation and drainage engineering.” [In Chinese.] Hydro-Sci. Eng. 1 (1): 62–67. https://doi.org/10.3969/j.issn.1009-640X.2001.01.009.
Ibrahim, T. E. A., and N. A. Hamza. 2015. “Irrigation canal lining using precast concrete units: experience of EL Rawakeeb research station.” Sudan Acad. Sci. J. (10): 70–79.
Li, C. Y., H. Y. Wang, X. D. Wang, and X. F. Li. 2015. “A probe into the design idea and availability of pre-installed aqueduct field lateral.”[In Chinese.] China Rural Water Hydropower (7): 131–133. https://doi.org/10.3969/j.issn.1007-2284.2015.07.033.
Li, D. Y. 2015. “Research and popularization of aqueduct-type U-shaped channel.” Master’s thesis, Dept. of Hydraulic Structure Engineering, Yangzhou Univ.
Loganathan, G. V. 1991. “Optimal design of parabolic canals.” J. Irrig. Drain. Eng. 117 (5): 716–735. https://doi.org/10.1061/(ASCE)0733-9437(1991)117:5(716).
Marler, R. T., and J. S. Arora. 2004. “Survey of multi-objective optimization methods for engineering.” Struct. Multidiscip. Optim. 26 (6): 369–395. https://doi.org/10.1007/s00158-003-0368-6.
Ministry of Housing and Urban-Rural Development of the People’s Republic of China. 2018. Design standard for irrigation and drainage engineering. GB 50288-2018. Beijing: China Planning Press.
Ministry of Water Resources of the People’s Republic of China. 2008. Design code for hydraulic concrete structures. SL 191-2008. Beijing: China Water and Power Press.
Mironenko, A. P., L. S. Willardson, and S. A. Jenab. 1984. “Parabolic canal design and analysis.” J. Irrig. Drain. Eng. 110 (2): 241–246. https://doi.org/10.1061/(ASCE)0733-9437(1984)110:2(241).
Monadjemi, P. 1994. “General formulation of best hydraulic channel section.” J. Irrig. Drain. Eng. 120 (1): 27–35. https://doi.org/10.1061/(ASCE)0733-9437(1994)120:1(27).
Mwiya, R. M. 2013. “Parabolic channel design.” Int. J. Sci. Eng. Res. 4 (4): 804–809.
Rao, J. R., and N. Roy. 1989. “Fuzzy set theoretic approach of assigning weights to objectives in multicriteria decision making.” Int. J. Syst. Sci. 20 (8): 1381–1386. https://doi.org/10.1080/00207728908910222.
Saaty, T. L. 1977. “A scaling method for priorities in hierarchical structures.” J. Math. Psychol. 15 (3): 234–281. https://doi.org/10.1016/0022-2496(77)90033-5.
Shulits, S., and W. E. Corfitzen. 1937. “Bed-load transportation and the stable-channel problem.” Eos Trans. Am. Geophys. Union 18 (2): 456–467. https://doi.org/10.1029/TR018i002p00456.
Swamee, P. K., and P. N. Rathie. 2016. “Normal depth equations for parabolic open channel sections.” J. Irrig. Drain. Eng. 142 (6): 06016003. https://doi.org/10.1061/(ASCE)IR.1943-4774.0001010.
Tzeng, G. H., and J. J. Huang. 2011. Multiple attribute decision making: Methods and applications. 1st ed. Boca Raton: CRC Press.
Wang, J. W., S. X. Wu, X. T. Ding, J. G. Hou, X. W. An, Y. P. Song, L. C. Wang, P. X. Li, and J. H. Han. 2009. Hydraulic reinforced concrete structure. 4th ed. Beijing: China Water and Power Press.
Wang, R., Z. B. Zhou, H. Ishibuchi, T. J. Liao, and T. Zhang. 2018. “Localized weighted sum method for many-objective optimization.” IEEE Trans. Evol. Comput. 22 (1): 3–18. https://doi.org/10.1109/TEVC.2016.2611642.
Warszawski, A., M. Avraham, and D. Cramel. 1984. “Utilization of precast concrete elements in building.” J. Irrig. Drain. Eng. 110 (4): 476–485. https://doi.org/10.1061/(ASCE)0733-9364(1984)110:4(476).
Wierzbicki, A. P. 1986. “A methodological approach to comparing parametric characterizations of efficient solutions.” In Large-scale modelling and interactive decision analysis. Berlin: Springer.
Xiong, Q. J. 2007. Hydraulic calculation and structural calculation of irrigation district buildings. 1st ed. Beijing: China Water and Power Press.
Zadeh, L. 1963. “Optimality and non-scalar-valued performance criteria.” IEEE Trans. Autom. Control 8 (1): 59–60. https://doi.org/10.1109/TAC.1963.1105511.
Zhang, J. J., W. G. Lu, and W. Huang. 2014. “Research on the structural design of U-shaped irrigation ditch with prefabricated ribs.” [In Chinese.] China Rural Water Hydropower (1): 132–135. https://doi.org/10.3969/j.issn.1007-2284.2014.01.033.
Zhang, W. 2017. “Research on the optimal structure type of fabricated parabolic concrete channel.” Masters thesis, Dept. of Hydraulic Engineering, Northwest A&F Univ.
Zhao, X. M., X. L. Bai, and K. Y. Yang. 2002. “The global optimization of prestressed U-thin-shell aqueduct structure with simple supports.” [In Chinese.] Port Eng. Technol. (3): 22–24. https://doi.org/10.3969/j.issn.1004-9592.2002.03.007.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 146Issue 6June 2020

History

Received: May 4, 2019
Accepted: Dec 12, 2019
Published online: Apr 3, 2020
Published in print: Jun 1, 2020
Discussion open until: Sep 3, 2020

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Authors

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Chenglin Peng [email protected]
M.S. Student, Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F Univ., Yangling, Shaanxi 712100, China. Email: [email protected]
Associate Researcher, Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F Univ., Yangling, Shaanxi 712100, China (corresponding author). ORCID: https://orcid.org/0000-0003-2055-4126. Email: [email protected]
Professor, Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Institute of Water Saving Agriculture in Arid regions of China, Ministry of Education, Northwest A&F Univ., Yangling, Shaanxi 712100, China. Email: [email protected]
M.S. Student, Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F Univ., Yangling, Shaanxi 712100, China. Email: [email protected]
Donghan Zhai [email protected]
M.S. Student, Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas, Ministry of Education, Northwest A&F Univ., Yangling, Shaanxi 712100, China. Email: [email protected]

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