Analysis of train-bridge vertical random vibration based on a new point estimate method [基于改进点估计法的随机车桥竖向振动分析]

作者：Liu X.; Jiang L.; Xiang P.; Mao J.; Wei M.

来源：Journal of Vibration and Shock, 2020, 39(6): 15-21.

DOI：10.13465/j.cnki.jvs.2020.06.003

• New point estimate method
• Random parameter
• Train-bridge system model

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.

• 单位
  中南大学