Random characteristics for vertical dynamic reaction force of pier-top of a simply supported girder bridge based on train-bridge random vibration model
1.School of Civil Engineering,Central South University,Changsha 410075,China;
2.National Engineering Laboratory for High Speed Railway Construction,Central South University,Changsha 410075,China;
3.School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China;
4.State Key Laboratory of Traction Power,Southwest Jiaotong University,Chengdu 610031,China
In order to study random characteristics of vertical dynamic reaction force of pier-top (VDRFP) of a simply supported girder bridge, a vertical random vibration model for a train-track-bridge coupled system was established based on the pseudo-excitation method (PEM) and the finite element method. A mass-spring-damper system model with two-layer suspensions for the train was built utilizing the multibody dynamics theory, and the track-bridge model was built with the finite element method. The dynamic equations of the train-track-bridge coupled system were established based on the equivalent Hertz linear wheel/rail contact relation. Adopting the Pseudo-excitation method (PEM), the vertical track profile irregularity was converted into a superposition of harmonic excitations, then a non-stationary random vibration problem was converted into a deterministic time history problem, and a random vibration calculation model for the train-track-bridge coupled time-varying system was deduced. Based on the calculation model, taking a 5-span 32m prestressed concrete simply supported box girder bridge as a study object, the effects of track irregularity and train speed on VDRFP random characteristics were analyzed. The results showed that VDRFP is controlled by the deterministic excitation caused by vehicle axle load, and track irregularity-induced random excitation affects it significantly; RMSs (σ) of VDRFP are different under different track irregularity-induced random excitations, and the limit values (μ±3σ) obtained based on the 3σ method are quite different; with increase in train speed, RMSs (σ) of VDRFP increase gradually.
朱志辉1,2，黄承志1，王力东1，时瑾3，余志武1,2，蔡成标4. 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 Zhihui1,2,HUANG Chengzhi1,WANG Lidong1,SHI Jing3,YU Zhiwu1,2,CAI Chengbiao4. Random characteristics for vertical dynamic reaction force of pier-top of a simply supported girder bridge based on train-bridge random vibration model. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(15): 225-232.
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