Statistical Analysis Method of Aero-engine Rotor Unbalance Vector Inversion Considering Complex Transmission Path and Noise Interference Based on Casing Measuring Point Response
Wenhao Bi / Beijing University of Chemical Technology
Zhinong Jiang / Beijing University of Chemical Technology
Kun Feng / Beijing University of Chemical Technology
Xiang Li / Beijing University of Chemical Technology
Mingming Shi / Beijing University of Chemical Technology
Yanfei Zuo / Beijing University of Chemical Technology
Whole engine balancing can improve balancing efficiency, but the measuring points are located on the surface of the casing. The transmission path from the vibration source to the measuring points is complex, which makes the vibration signal vulnerable to the interference of multi-source noise, and reduces the accuracy of the inversion. Therefore, based on the statistical distribution law of the vibration response, random numbers are used to simulate the noise interference in the vibration response. By conducting harmonic response analysis on the model, the influence coefficient considering the complex transmission path is obtained. This coefficient is used to infer the unbalanced response considering noise interference. Statistical analysis is conducted on the original response containing noise interference and the inverse response results obtained by optimization methods. Normal distribution is used to approximate the original response and inverse response. The difference rate between the mean and standard deviation of them is calculated, as well as the probability of the normal distribution of the original response in the 2σ and 3σ intervals of the normal distribution of the inverse response. Compared with the results of the single group response inverse method, it shows that the statistical analysis can overcome the contingency of the single group results in the dynamic balance of the whole engine. The results show that the influence of the uncertainty of noise interference is considered in the dynamic balance of the whole engine by using the statistical analysis. The inverse result is reasonable and accurate. This method improves the accuracy and efficiency of the dynamic balance of the whole engine, and provides theoretical support and method reference for the engineering application of the dynamic balance of the whole engine.