Abstract
In order to more accurately analyze the fatigue reliability of motor hanger for high‐speed train and reduce the influence of uncertain factors, a Bayesian statistical method is introduced to propose a novel fatigue reliability analysis method based on Bayesian updating and subset simulation. First, considering the influence of various uncertain parameters on the first principal stress (FPS) of motor hanger, the ANSYS parametric design language (APDL) is used to establish the parametric model. The D‐optimal design of experiment is carried out to calculate the FPS of the motor hanger. Second, the experimental data is fitted by the least square method to establish a polynomial response surface function which characterizes the FPS of the motor hanger, and analysis of variance (ANOVA) is carried out. On this basis, the variation trend of the FPS under parameter fluctuation is calculated, and its probability distribution characteristics are obtained. Based on the MATLAB platform, the Bayesian updating method is adopted to correct the probability and statistical characteristics of the FPS to improve the accuracy of prediction. Finally, the subset simulation (SS) method is used to calculate the fatigue failure probability of the motor hanger. The research results show that the proposed method helps to improve the accuracy and efficiency of fatigue reliability analysis.
Highlights
In the design process of mechanical products, the analysis of structural static strength and fatigue strength is the key to ensure that the product meets the standard requirements
E evaluation index can be used to perform fatigue strength analysis and fatigue life prediction on the structure quickly and and is easy to compare with the experimental results
Chen et al [13] proposed a fatigue reliability analysis method that considers the uncertainty of parameters, draws a fatigue limit diagram without safety factor, and gives a more reasonable fatigue reliability analysis result, which is helpful for lightweight design of products
Summary
In the design process of mechanical products, the analysis of structural static strength and fatigue strength is the key to ensure that the product meets the standard requirements. E evaluation index can be used to perform fatigue strength analysis and fatigue life prediction on the structure quickly and and is easy to compare with the experimental results. How to accurately evaluate the fatigue reliability of the structure without experimentation is the premise of predicting whether the design meets the requirements of the standard. E contributions of this study are as follows: (1) a response surface function is presented to characterize the functional relationship between random variables and the FPS of the structure; (2) the probabilistic and statistical parameters of the FPS are updated by using Bayesian theory; (3) the limit state equation of fatigue reliability analysis is established; (4) the fatigue failure probability of the motor hanger is calculated by the subset simulation method.
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