电磁超声非线性效应表征的 Lyapunov 指数分析方法
DOI:
CSTR:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

TH878 TB551

基金项目:

国家自然科学基金青年科学基金(51807065)、无损检测技术福建省高校重点实验室(S2KF2007)项目资助


Electromagnetic ultrasonic nonlinear effects for the characterization of Lyapunov exponential analytical method
Author:
Affiliation:

Fund Project:

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    针对金属疲劳损伤非线性效应非接触式检测需求及其低信噪比问题,提出电磁超声方案对非线性效应进行信号拾取, 并采用 Duffing 混沌系统实现对金属疲劳程度定量评估,进而依据相轨图和 Lyapunov 指数表征材料疲劳演变非线性特性。 采用 有限元方法分析铝合金疲劳损伤演变过程,基于材料 Murnaghan 模型和微裂纹等效弹簧模型,研究疲劳损伤演变过程中相对非 线性系数变化规律;进而探究 Duffing 混沌系统对于非线性效应特征提取的抗噪能力,当信噪比在 20 dB 时,相对非线性系数误 差为 132. 12% ,而 Lyapunov 指数误差为 8. 82% ,因而 Lyapunov 指数较非线性系数而言有显著的抗噪能力;此外,基于对铝合金 疲劳检测进行实验研究,验证了电磁超声非线性效应 Lyapunov 指数表征分析方法的可行性及准确性。 研究结果表明,Lyapunov 指数能够有效应对电磁超声非线性检测过程中低信噪比问题,从而提升非线性特征拾取的灵敏度和可重复性,进一步增强电磁 超声等非接触式超声检测方法在疲劳在线检测演变的工程应用的贡献。

    Abstract:

    Aiming at the non-contact detection needs of nonlinear effects of metal fatigue damage and its low signal-to-noise ratio, an electromagnetic ultrasonic scheme is proposed to collect signals for nonlinear effect. The Duffing chaotic system is used to quantitatively assess the fatigue degree of metal. Then, the nonlinear characteristics of material fatigue evolution are characterized according to the phase trajectory diagram and the Lyapunov index. In this article, the evolution process of fatigue damage of aluminum alloy is analyzed by the finite element method, and the relative nonlinear coefficient change law during the evolution of fatigue damage is studied based on the material Murnaghan model and the micro-crack equivalent spring model. In addition, the noise immunity of the Duffing chaotic system for the extraction of nonlinear effect features is investigated. When the signal-to-noise ratio is 20 dB, the relative nonlinearity coefficient error is 132. 12% , while the Lyapunov index error is 8. 82% . Therefore, the Lyapunov index has significant noise immunity compared with the nonlinear coefficient. In addition, based on the experimental study of fatigue detection of aluminum alloy, the feasibility and accuracy of the Lyapunov index characterization and analysis method of nonlinear effect of electromagnetic ultrasound are evaluated. Results show that the Lyapunov index can effectively address the problem of low signal-to-noise ratio in the process of electromagnetic ultrasonic nonlinear detection. In this way, the sensitivity and repeatability of nonlinear feature picking are improved, and the contribution of non-contact ultrasonic detection methods is further enhanced, such as electromagnetic ultrasonic in the evolution of fatigue online detection.

    参考文献
    相似文献
    引证文献
引用本文

蔡智超,李 豪,倪惠发,张 磊.电磁超声非线性效应表征的 Lyapunov 指数分析方法[J].仪器仪表学报,2022,43(10):223-232

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:
  • 最后修改日期:
  • 录用日期:
  • 在线发布日期: 2023-02-06
  • 出版日期:
文章二维码