Analysis of train-bridge vertical random vibration based on a new point estimate method
LIU Xiang1,2，JIANG Lizhong1,2，XIANG Ping1,2，MAO Jianfeng1,2，WEI Minglong1,2
1.School of Civil Engineering, Central South University, Changsha 410075, China;
2.National Engineering Laboratory for High Speed Railway Construction, Changsha 410075, China
In the construction and manufacturing process of railway concrete bridges, the randomness of structural parameters (such as concrete elastic modulus, density, etc.) inevitably exists, the randomness of passengers and cargo may cause the randomness of train-body, mass, and these randomness cannot be ignored in the random dynamics analysis of train-bridge systems.The model of a train-bridge coupled system was established, and the Newmark-β integral method was used to calculate the first four central moments of random train-bridge dynamic responses based on a new point estimate method which was based on adaptive dimensional decomposition.The results of the comparison with Monte Carlo method show that the new point estimate method can calculate the random response of the train-bridge system efficiently and accurately, and the efficiency is improved by 2—3 orders of magnitude.After obtaining the corresponding first four moments, the probability density function of the response can be fitted by using the cubic normal transformation technique.The method provides a reference to the train bridge limit state design.
刘祥1,2，蒋丽忠1,2，向平1,2，毛建锋1,2，魏明龙1,2. 基于改进点估计法的随机车桥竖向振动分析[J]. 振动与冲击, 2020, 39(6): 15-21.
LIU Xiang1,2，JIANG Lizhong1,2，XIANG Ping1,2，MAO Jianfeng1,2，WEI Minglong1,2. Analysis of train-bridge vertical random vibration based on a new point estimate method. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(6): 15-21.
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