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基于双参数表征的航空发动机轮盘涡流检测MAPOD研究

宋凯1,张弛1,晏晨辉1,宁宁2,樊俊铃2,王荣彪1   

  1. 1. 南昌航空大学
    2. 中国飞机强度研究所
  • 收稿日期:2022-07-28 修回日期:2022-09-16 出版日期:2022-09-22 发布日期:2022-09-22
  • 通讯作者: 王荣彪
  • 基金资助:
    国家自然科学基金;工信部XX专项科研项目;博士启动基金

Research on MAPOD of aero engine disc eddy current testing based on two-parameter characterization

  • Received:2022-07-28 Revised:2022-09-16 Online:2022-09-22 Published:2022-09-22

摘要: 在航空发动机轮盘损伤容限设计中使用了无损检测可靠性(Probability of Detection, POD)的关键性指标a90/95。针对单尺寸参数POD研究的a90/95会造成涡流检测系统能力表征不准确的问题,通过分析轮盘人工刻槽缺陷的长度和深度因素对POD的影响,提出了一种基于双参数表征的模型辅助检测可靠性(Model-Assisted Probability of Detection, MAPOD)模型。该模型假设由双尺寸参数向量x所描述的缺陷的涡流响应幅值服从N(μ(x),σ(x)),将仿真与涡流试验响应数据代入极大似然估计获取模型参数,进而计算得到表征检测系统可靠性参数。通过对TC4缺陷产生的涡流信号进行分析,分别比较了缺陷数目对单参数模型与改进模型的影响程度。研究结果表明:相较于单参数POD模型,改进的MAPOD模型能以更少的样本数目、更准确地对无损检测系统能力进行表征,最终利用少量缺陷样本评估了航空发动机轮盘涡流检测系统检测能力,进一步为航空发动机检修周期以及损伤容限设计(Damage Tolerance, DT)提供了重要依据。

关键词: 涡轮盘, 涡流检测, 双参数, 模型辅助法, 无损检测可靠性

Abstract: The key index a90/95 of Probability of Detection (POD) is used in the design of aero-engine disk damage tolerance. Aiming at the problem that a90/95 of POD study on single size parameter will cause inaccurate capability representation of eddy current detection system, by analyzing the influence of length and depth factors of manual grooving defects on POD, A mod-el-assisted Probability of Detection (MAPOD) Model based on two-parameter representation is proposed. The model assumes that the eddy current response amplitude of the defect described by the two-dimension parameter vector x follows N(μ(x),σ(x)), and the simulation and eddy current test response data are substituted into maximum likelihood estimation to obtain the model parameters, and then the reliability parameters characterizing the detection system are calculated. By analyzing the eddy current signal generated by the TC4 defect, the influence degree of the number of defects on the single parameter model and the improved model is compared. The results show that: Compared with the single-parameter POD model, the improved MAPOD model can characterize the NDT system capability more accurately with fewer samples. Finally, the detection capability of the aero-engine wheel eddy current testing system was evaluated with a small number of defect samples. It provides an important basis for aero-engine maintenance cycle and Damage Tolerance (DT) design.

Key words: turbine disc, Eddy current testing, Two-parameter, Model assisted method, Nondestructive testing reliability

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