Abstract
The solution using built-in beam element method to increase the calculation efficiency of aqueduct pile foundations is studied in this work. The formulations of built-in beam element method based on the normal generalized displacement method of beam element are introduced in this work. Then, the validity of the built-in beam element method is checked by a static problem of a simplified aqueduct model. Furthermore, the solution to increase calculation efficiency by built-in beam element method for aqueduct pile foundations is introduced by studying the features of built-in beam element method and normal generalized displacement method of beam element in models with different grid density and foundation stiffness. Finally, a static problem of an arch aqueduct is solved using the summed solution. The results show that it is feasible to improve efficiency with sufficient accuracy by reasonably selecting the built-in beam element method and normal generalized displacement method in the analysis of aqueduct pile foundation.
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References
Burgan HI, Aksoy H (2022) Daily flow duration curve model for ungauged intermittent subbasins of gauged rivers. Journal of Hydrology 604:127249, DOI: https://doi.org/10.1016/j.jhydrol.2021.127249
Carbonari S, Morici M, Dezi F, Leoni G (2017) Nonlinear response of bridge piers on inclined pile groups: The role of rocking foundation input motion. Procedía Engineering 199:2330–2335, DOI: https://doi.org/10.1016/j.proeng.2017.09.211
Chaker A, Koubaa S, Mars J, Vivet A, Dammak F (2021) An efficient ABAQUS solid shell element implementation for low velocity impact analysis of FGM plates. Engineering with Computers 37(3): preview, DOI: https://doi.org/10.1007/s00366-020-00954-8
Du X, Hajjar J (2021) Three-dimensional nonlinear displacement-based beam element for members with angle and tee sections. Engineering Structures 239(2021):112239, DOI: https://doi.org/10.1016/j.engstruct.2021.112239
Lee SW, Dai CC, Yeom CH (1985) A triangular finite elemet for thin plates and shells. International Journal for Numerical Methods in Engineering 21(10):1813–1831, DOI: https://doi.org/10.1002/nme.1620211008
Li XC, Chen P, Ye Y, Wang CH (2014) Structure design and mechanics calculation of aqueduct model. Applied Mechanics and Materials 488–489(2014):381–384, DOI: https://doi.org/10.4028/www.scientific.net%2FAMM.488-489.381
Li WH, Li TC (2005) Generalized displacement method in bearing capacity analysis of thin-walled structure interacted with foundation soil. Journal of University of Science and Technology of Suzhou (Engineering and Technology) 2005(4):37–40
Li X, Liu G (1986) A generalized displacement method for finite element analysis of constrained problems. Communications in Applied Numerical Methods 2(2):165–171, DOI: https://doi.org/10.1002/CNM.1630020207
Li XK, Liu G, Owen DRJ (1984) Geometrically non-linear analysis of thin plates and shells using a generalized displacement method. Engineering Computations 1(4):318–323, DOI: https://doi.org/10.1108/eb023586
Li XK, Liu GQ, Zienkiewicz OC (1985) A generalized displacement method for the finite element analysis of thin shells. International Journal for Numerical Methods in Engineering 21(12):2145–2155, DOI: https://doi.org/10.1002/nme.1620211203
Moriasi DN, Arnold JG, Van Liew MW, Bingner RL, Harmel RD, Veith TL (2007) Model evaluation guidelines for systematic quantification of accuracy in watershed simulations. Transactions of the ASABE 50(3):885–900, DOI: https://doi.org/10.13031/2013.23153
Shi G, George V (1991) Simple and efficient shear flexible two node arch/ beam and four nodecylindrical shell/plate finite element. International Journal for Numerical Methods in Engineering 31(4):759–776, DOI: https://doi.org/10.1002/nme.1620310408
Smith IM, Griffiths DV, Margetts L (2014) Programming the finite element method: Wiley, DOI: https://doi.org/10.1002/9781119189237
Wang X, Li T, Zhang H, Li H (2007) Application of generalized freedom method to three dimensional static force analysis of qiaoqi earth-core rockfilled dam. Water Resources and Power 25(4):85–89
Winkelmann K, Żyliński K, Górski J (2021) Probabilistic analysis of settlements under a pile foundation of a road bridge pylon. Soils and Foundations 61(1):80–94, DOI: https://doi.org/10.1016/j.sandf.2020.11.001
Zhang C, Xu J, Qian Y, Zhang J, Wang R, Wang B (2022) Seismic reliability analysis of random parameter aqueduct structure under random earthquake. Soil Dynamics and Earthquake Engineering 153:107083, DOI: https://doi.org/10.1016/j.soildyn.2021.107083
Zhong W (1985) Generalized displacement method in finite element analysis of thin-walled beams. Journal of Dalian University of Technology 1985(4):25–30
Zienkiewicz OC, Taylor RL, Fox D (2014) The finite element method for solid and structural mechanics. 7th edition Oxford: Butterworth-Heinemann
Acknowledgments
The support of the National Key Research and Development Program of China (No. 2018YFC0407102), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No. 20KJB440001) and the Changzhou Institute of Technology High-level Talent Research Start-up Funds (No. YN21003) are gratefully acknowledged.
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Pan, S., Li, T., Liu, X.Q. et al. The Application of Built-in Beam Element Method in the Aqueduct Pile Foundation Analysis. KSCE J Civ Eng 27, 2908–2920 (2023). https://doi.org/10.1007/s12205-023-1958-z
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DOI: https://doi.org/10.1007/s12205-023-1958-z