基于贝叶斯理论的拉杆转子模态特性确认

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摘要为了更真实地反映航空发动机高压转子拉杆结构的振动特性，对基于非线性弹塑性滑动模型中不确定参数的变化范围和规律进行研究，提出了基于贝叶斯理论的有限元模型模态特性确认方法。运用贝叶斯理论构建模态特性似然函数，通过马尔可夫蒙特卡罗方法求解不确定参数的后验概率分布，并建立基于稀疏网格配点法的替代模型，减少了蒙特卡罗方法的计算量，使该方法能够适用于大型复杂高压转子结构。以实际的航空发动机高压转子为例，确定高压转子结构特征频率的变化范围和规律，通过与实验模态特征频率对比，证明了该方法的有效性。

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	边涛1
	谢寿生1
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	任立通1
	张乐迪1
	刘云龙1

关键词 ：拉杆结构, 弹塑性滑动模型, 贝叶斯理论, 蒙特卡罗方法, 实验模态分析

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

收稿日期: 2016-08-12 出版日期: 2017-11-28

引用本文:

边涛1，谢寿生1,2，任立通1，张乐迪1，刘云龙1. 基于贝叶斯理论的拉杆转子模态特性确认[J]. 振动与冲击, 2017, 36(23): 92-98.
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. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(23): 92-98.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2017/V36/I23/92

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