Innovative approaches in high-speed railway bridge model simplification for enhanced computational efficiency

Abstract

In the realm of high-speed railway bridge engineering, managing the intricacies of the track-bridge system model (TBSM) during seismic events remains a formidable challenge. This study pioneers an innovative approach by presenting a simplified bridge model (SBM) optimized for both computational efficiency and precise representation, a seminal contribution to the engineering design landscape. Central to this innovation is a novel model-updating methodology that synergistically melds artificial neural networks with an augmented particle swarm optimization. The neural networks adeptly map update parameters to seismic responses, while enhancements to the particle swarm algorithm’s inertial and learning weights lead to superior SBM parameter updates. Verification via a 4-span high-speed railway bridge revealed that the optimized SBM and TBSM exhibit a highly consistent structural natural period and seismic response, with errors controlled within 7%. Additionally, the computational efficiency improved by over 100%. Leveraging the peak displacement and shear force residuals from the seismic TBSM and SBM as optimization objectives, SBM parameters are adeptly revised. Furthermore, the incorporation of elastoplastic springs at the beam ends of the simplified model effectively captures the additional mass, stiffness, and constraint effects exerted by the track system on the bridge structure.

References

[1] Yan B, Dai G-L, Hu N. Recent development of design and construction of short span high-speed railway bridges in China [J]. Engineering Structures, 2015, 100: 707-717

[2] Hu N, Dai G-L, Yan B, et al.. Recent development of design and construction of medium and long span high-speed railway bridges in China [J]. Engineering Structures, 2014, 74: 233-241

[3] Yu J, Zhou W-B, Jiang L-Z. Response spectra of fitted post-seismic residual track irregularity for high-speed railway [J]. Earthquake Engineering & Structural Dynamics, 2023, 52(2): 350-369

[4] Wu Y-D, Yao X, Zhou S-J. Seismic fragility analysis for typical multi-span simply supported railway box girder bridges [J]. Applied Mechanics and Materials, 2016, 858: 137-144

[5] Kawashima K, Takahashi Y, Ge H-B, et al.. Reconnaissance report on damage of bridges in 2008 Wenchuan, China, earthquake [J]. Journal of Earthquake Engineering, 2009, 13(7): 965-996

[6] Gong M-S, Lin S-B, Sun J-J, et al.. Seismic intensity map and typical structural damage of 2010 Ms 7.1 Yushu earthquake in China [J]. Natural Hazards, 2015, 77(2): 847-866

[7] Xing J-H, Lu M, Li H-W, et al.. The seismic damage investigation and phenomenon analysis of space grid structures in Lushan Ms 7.0 earthquake [J]. Applied Mechanics and Materials, 2014, 501–504: 1535-1541

[8] Jiang L-Z, Yu J, Zhou W-B, et al.. Applicability analysis of high-speed railway system under the action of near-fault ground motion [J]. Soil Dynamics and Earthquake Engineering, 2020, 139: 106289

[9] Jiang L-Z, Zhang Y-T, Feng Y-L, et al.. Simplified calculation modeling method of multi-span bridges on high-speed railways under earthquake condition [J]. Bulletin of Earthquake Engineering, 2020, 18(5): 2303-2328

[10] GB 50111-2006. Code for seismic design of railway engineering [S]. (in Chinese)

[11] Bornet L, Andersson A, Zwolski J, et al.. Influence of the ballasted track on the dynamic properties of a truss railway bridge [J]. Structure and Infrastructure Engineering, 2015, 11(6): 796-803

[12] Guo W, Gao X, Hu P, et al.. Seismic damage features of high-speed railway simply supported bridge-track system under near-fault earthquake [J]. Advances in Structural Engineering, 2020, 23(8): 1573-1586

[13] Xia H, Han Y, Zhang N, et al.. Dynamic analysis of train-bridge system subjected to non-uniform seismic excitations [J]. Earthquake Engineering & Structural Dynamics, 2006, 35(12): 1563-1579

[14] Yu J, Zhou W-B, Jiang L-Z. Study on the estimate for seismic response of high-speed railway bridgetrack system [J]. Engineering Structures, 2022, 267: 114711

[15] Wei B, Zuo C-J, He X-H, et al.. Effects of vertical ground motions on seismic vulnerabilities of a continuous track-bridge system of high-speed railway [J]. Soil Dynamics and Earthquake Engineering, 2018, 115: 281-290

[16] Zhou W-B, Zu L-Z, Jiang L-Z, et al.. Influence of damping on seismic-induced track geometric irregularity spectrum in high-speed railway track-bridge system [J]. Soil Dynamics and Earthquake Engineering, 2023, 167: 107792

[17] Yan B, Dai G-L. Seismic pounding and protection measures of simply-supported beams considering interaction between continuously welded rail and bridge [J]. Structural Engineering International, 2013, 23(1): 61-67

[18] Feng Y-L, Jiang L-Z, Zhou W-B, et al.. Post-earthquake track irregularity spectrum of high-speed railways continuous girder bridge [J]. Steel and Composite Structures, 2021, 40: 323

[19] Liu S-H, Jiang L-Z, Zhou W-B, et al.. Dynamic response analysis of multi-span bridge-track structure system under moving loads [J]. Mechanics Based Design of Structures and Machines, 2023, 51(10): 5669-5687

[20] Zhou W-B, Xiong L-J, Jiang L-Z, et al.. Optimal combinations of parameters for seismic response prediction of high-speed railway bridges using machine learnings [J]. Structures, 2023, 57: 105089

[21] Guo W, Hu Y, Gou H-Y, et al.. Simplified seismic model of CRTS II ballastless track structure on high-speed railway bridges in China [J]. Engineering Structures, 2020, 211: 110453

[22] Zhou W-B, Peng D-H, Liu L-L, et al.. Transverse seismic analysis of high-speed railway bridge in China based on a simplified calculation model [J]. Journal of Central South University, 2023, 30(1): 351-364

[23] Song W, Dyke S, Harmon T. Application of nonlinear model updating for a reinforced concrete shear wall [J]. Journal of Engineering Mechanics, 2013, 139(5): 635-649

[24] Kurt M, Moore K J, Eriten M, et al.. Nonlinear model updating applied to the IMAC XXXII Round Robin benchmark system [J]. Mechanical Systems and Signal Processing, 2017, 88: 111-122

[25] Park Y S, Kim S, Kim N, et al.. Finite element model updating considering boundary conditions using neural networks [J]. Engineering Structures, 2017, 150: 511-519

[26] Teughels A, Maeck J, de Roeck G. Damage assessment by FE model updating using damage functions [J]. Computers & Structures, 2002, 80(25): 1869-1879

[27] Goller B, Broggi M, Calvi A, et al.. A stochastic model updating technique for complex aerospace structures [J]. Finite Elements in Analysis and Design, 2011, 47(7): 739-752

[28] Wang F-Y, Xu Y-L, Sun B, et al.. Updating multiscale model of a long-span cable-stayed bridge [J]. Journal of Bridge Engineering, 2018, 23(3): 04017148

[29] Xin Y, Hao H, Li J, et al.. Bayesian based nonlinear model updating using instantaneous characteristics of structural dynamic responses [J]. Engineering Structures, 2019, 183: 459-474

[30] Jiang L-Z, Yu J, Zhou W-B, et al.. Applicability analysis of high-speed railway system under the action of near-fault ground motion [J]. Soil Dynamics and Earthquake Engineering, 2020, 139: 106289

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Central South University