[1]晋智斌,强士中,李小珍.轨道不平顺激励下车辆-桥梁垂向随机振动方差解法[J].铁道学报,2008,30(6): 63-68.
JIN Zhibin, QIANG Shizhong, LI Xiaozhen.Covariance method for vehicle-bridge vertical stochastic vibration excited by rail irregularities[J].Journal of the China Railway Society, 2008,30(6): 63-68.
[2]李军强,方同.演变随机响应问题的精细积分解法[J].机械科学与技术,2000,19(4): 577-578.
LI Junqiang, FANG Tong.High-precision integration for problems of evolutionary random responses[J].Mechanical Science and Technology, 2000,19(4): 577-578.
[3]叶茂,张鹏,傅继阳,等.带弹性支撑多跨连续梁桥的车桥耦合演变随机振动[J].振动与冲击, 2014,33(3): 76-82.
YE Mao, ZHANG Peng, FU Jiyang, et al.Coupled vehicle-bridge evolutionary random vibration for amulti-span continuous bridge with elastic bearings[J].Journal of Vibration and Shock, 2014,33(3): 76-82.
[4]余志武,谈遂,毛建锋.基于车桥耦合随机振动的桥梁动力安全性分析[J].铁道工程学报,2016,33(9): 55-61.
YU Zhiwu, TAN Sui, MAO Jianfeng.Safety analysis of the bridge dynamic performance based on train-bridge coupling random vibration[J].Journal of Railway Engineering Society, 2016,33(9): 55-61.
[5]朱志辉,黄承志,王力东,等.基于车-桥随机振动模型的简支梁桥墩顶垂向动反力特征研究[J].振动与冲击,2018,37(15): 225-232.
ZHU Zhihui, HUANG Chengzhi, WANG Lidong, et al.Random characteristics for vertical dynamic reaction force of pier-top of a simply supported girder bridge based on train-bridge random vibration model[J].Journal of Vibration and Shock, 2018,37(15): 225-232.
[6]李小珍,朱艳,强士中.高速列车作用下简支梁车桥耦合振动随机响应分析[J].振动与冲击,2012,31(4): 168-172.
LI Xiaozhen, ZHU Yan, QIANG Shizhong.Stochastic response analysis of train-bridge coupling system under high speed train loads excitation[J].Journal of Vibration and Shock, 2012,31(4): 168-172.
[7]徐文涛,张建波,廖敬波,等.随机振动下多跨弹性支撑梁桥的冲击系数分析[J].振动与冲击,2017,36(3): 119-124.
XU Wentao, ZHANG Jianbo, LIAO Jingbo, et al.Impact coefficients analysis for a multi-span elastically supported bridge under random vibration[J].Journal of Vibration and Shock, 2017,36(3): 119-124.
[8]刘佩.随机地震作用下结构动力可靠度计算方法研究[D].北京:北京交通大学,2011.
[9]CHING J Y, AU S K, BECK J L.Reliability estimation for dynamical systems subject to stochastic excitation using subset simulation with splitting[J].Probabilistic Engineering Mechanics, 2005,20(3): 199-214.
[10]AU S K, BECK J L.Subset simulation and its application to seismic risk based on dynamic analysis[J].Journal of Engineering Mechanics, 2003,129(8): 901-917.
[11]CHING J, BECK J L, AU S K.Hybrid subset simulation method for reliability estimation of dynamical systems subject to stochastic excitation[J].Probabilistic Engineering Mechanics, 2005,20(3): 199-214.
[12]李永乐,鲍玉龙,向活跃.基于代理模型的无砟轨道模拟方法及其在车-线-桥分析中的应用[J].土木工程学报,2018,51(5): 95-102.
LI Yongle, BAO Yulong, XIANG Huoyue.Simulation method and its application in dynamic analysis of vehicle-track-bridge system with ballastless track based on surrogate model[J].China Civil Engineering Journal, 2018,51(5): 95-102.
[13]HAN X, XIANG H Y, LI Y L, et al.Predictions of vertical train-bridge response using artificial neural network-based surrogate model[J].Advances in Structural Engineering, 2019,22(12): 2712-2723.
[14]杨光,杨岳,易兵,等.轮轨几何接触点的人工神经网络快速计算方法[J].铁路计算机应用,2018,27(6): 1-4.
YANG Guang, YANG Yue, YI Bing, et al.Fast calculation method for wheel-rail geometric contact points based on artificial neural network[J].Railway Computer Application, 2018,27(6): 1-4.
[15]庞学苗.基于人工神经网络的轮轨力预测[D].南京:南京理工大学,2012.
[16]毛云霄,王英杰,肖军华,等.基于过桥车辆响应的遗传算法桥梁损伤识别[J].振动、测试与诊断,2018,38(4): 696-703.
MAO Yunxiao, WANG Yingjie, XIAO Junhua, et al.Bridge damage detection using a moving vehicle response on the bridge with genetic algorithm[J].Journal of Vibration, Measurement and Diagnosis, 2018,38(4): 696-703.
[17]FRIES R H, COFFEY B M.A state-space approach to the synthesis of random vertical and crosslevel rail irregularities[J].Journal of Dynamic Systems Measurement and Control, 1990,112(1): 83-87.
[18]翟婉明.车辆-轨道耦合动力学[ M].北京:科学出版社,2014.
[19]LJUNG L.System identification toolbox 7: getting started guide[M].Natick: The Math Works, Inc., 2008.
[20]MADSEN K, NIELSEN H B, TINGLEFF O.Methods for non-linear least squares problems[M].2nd ed.Copenhagen: Technical University of Denmark, 2004.