Modal characteristics confirmation of a rod-fastening rotor based on Bayesian theory

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (23) : 92-98.

BIAN Tao1, XIE Shou-sheng1,2, REN Li-tong1, ZHANG Le-di1，LIU Yun-long1

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Abstract

In order to reflect the real vibration characteristics of rod-fastening rotors of high pressure spool(HPS) in an aero-engine, Here, a FE (finite element) model modal characteristics confirmation method based on Bayesian theory was proposed. An elastoplastic slip model with non-linear hysteretic behavior was introduced to determine regions of uncertain parameters. According to this model, the likelihood function for modal data characteristics was built using Bayesian theory, Bayesian updating procedure was implemented using a multi-level Markov chain Monte Carlo (MCMC) algorithm. In addition, the adaptive hierarchical sparse grid collocation (ASGC) method was used to construct the stochastic surrogate model for the posterior probability distribution calculation of uncertain parameters, it reduced the amount of computation of the MCMC for large FE models like HPS. The real example of an aero-engine’s high pressure rotor was given, the results using this modal characteristics confirmation method were compared with its test data, it was shown that the proposed method can determine regions and varying law of HPS feature frequencies, its effectiveness is verified.

Key words

rod-fastening rotor / elastoplastic slip model / Bayesian theory / Markov chain Monte Carlo method / test modal analysis

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BIAN Tao1, XIE Shou-sheng1,2, REN Li-tong1, ZHANG Le-di1，LIU Yun-long1. Modal characteristics confirmation of a rod-fastening rotor based on Bayesian theory[J]. Journal of Vibration and Shock, 2017, 36(23): 92-98

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