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Wind and Structures
  Volume 27, Number 3, September 2018 , pages 149-161

Flutter reliability analysis of suspension bridges based on multiplicative dimensional reduction method
Junfeng Guo, Shixiong Zheng, Jin Zhang, Jinbo Zhu and Longqi Zhan

    A reliability analysis method is proposed in this paper based on the maximum entropy (MaxEnt) principle in which constraints are specified in terms of the fractional moments instead of integer moments. Then a multiplicative dimensional reduction method (M-DRM) is introduced to compute the fractional moments. The method is applicable for both explicit and implicit limit state functions of complex structures. After two examples illustrate the accuracy and efficiency of this method in comparison to the Monte Carlo simulation (MCS), the method is used to analyze the flutter reliability of suspension bridge. The results show that the empirical formula method in which the limit state function is explicitly represented as a function of variables is only a too conservative estimate for flutter reliability analysis but is not accurate adequately. So it is not suitable for reliability analysis of bridge flutter. The actual flutter reliability analysis should be conducted based on a finite element method in which limit state function is implicitly represented as a function of variables. The proposed M-DRM provide an alternate and efficient way to analyze a much more complicated flutter reliability of long span suspension bridge.
Key Words
     reliability analysis; failure probability; flutter; multiplicative dimensional reduction method (M-DRM); principle of maximum entropy
Junfeng Guo, Shixiong Zheng, Jin Zhang and Jinbo Zhu: School of Civil Engineering, Southwest Jiaotong University, Chengdu, China, 610031
Longqi Zhang: Department of road and bridge engineering, Sichuan Vocational and Technical College of Communications,
Chengdu, China, 611130

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