Title: Uncertainty analysis of the subway vehicle-track coupling system with fuzzy variables
Authors: Hong-Ping Zhu; Ling Ye; Shun Weng
Addresses: School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei, China ' School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei, China ' School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan, Hubei, China
Abstract: Dynamic analysis of the vehicle-track coupling system is important to the structural design, damage detection and condition assessment. In this paper, the uncertain system parameters are modelled as fuzzy variables instead of deterministic values or conventional random variables with known probability distributions. Afterwards, the dynamic response functions of the coupling system are transformed into a component function based on the high dimensional representation approximation. Then, the Lagrange interpolation method is used to approximate the component function. Finally, the bounds of the dynamic responses can be predicted by performing Monte Carlo method on the interpolation polynomials of Lagrange interpolation function, avoiding the expensive Monte Carlo process on the subway vehicle-track coupling system. A numerical example is analysed by the proposed method to predict the bounds of the subway vehicle-track coupling system responses. The results show that the proposed method is effective and efficient to predict the bounds of the system responses.
Keywords: subway vehicle-track coupling system; fuzzy variables; high dimensional representation approach; Monte Carlo simulation.
International Journal of Lifecycle Performance Engineering, 2019 Vol.3 No.3/4, pp.213 - 232
Received: 30 Nov 2018
Accepted: 10 Mar 2019
Published online: 22 Nov 2019 *