A fuzzy computational framework for the train-bridge system based on Chebyshev polynomials method

This paper proposes a fuzzy computational framework for dynamic response of the train-bridge system based on Chebyshev Polynomials Method (CM), and puts forward the concept of membership density function for the first time. The membership density function of fuzzy response can be conveniently and quickly calculated, according to the characteristics of the CM. The confidence level is conservatively set to 80 %, which means that the response has an 80 % membership degree as the confidence interval at this confidence level. In this paper, The CM is applied to analyze the fuzzy dynamic responses of the train-bridge coupled system with fuzzy train speed. Moreover, the influences of earthquake and large range uncertainty are also discussed. The conventional Scanning Method (SM) is used to verify the accuracy and feasibility of the CM. The results show that the CM can be combined with fuzzy system accurately and efficiently.