基于粒子滤波的烧结钕铁硼材料疲劳破坏预测方法研究  

Prediction Method for Fatigue Failure of Sintered NdFeB Based on Particle Filtering

作　　者：严毅琪 孙鹏宇 程强强[1] 熊乐超 于润桥[1] Yiqi Yan;Pengyu Sun;Qiangqiang Cheng;Lechao Xiong;Runqiao Yu(Nanchang Hangkong University,Key Laboratory of Nondestructive Testing,Ministry of Education,Nanchang,330063)

机构地区：[1]南昌航空大学无损检测技术教育部重点实验室,南昌330063

出　　处：《固体力学学报》2022年第2期220-233,共14页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(61902168,61963026,51765049);江西省自然科学基金项目(20192BAB215045);航空智能制造专项(2019ZE056001)资助。

摘　　要：针对烧结钕铁硼在服役期间产生疲劳破坏过程的突发性和不确定性,提出了一种粒子滤波与微磁监测方法相融合的疲劳破坏预测方法.通过将烧结钕铁硼的力磁耦合模型引入粒子滤波理论框架中,设计了基于相对磁导率的粒子滤波状态方程,并采用构建的微磁监测系统来获取烧结钕铁硼疲劳破坏过程中不断变化的磁感应强度信号,建立了基于磁感应强度的粒子滤波观测方程.进一步地,将状态方程和观测方程联立,实现了基于粒子滤波方法的烧结钕铁硼疲劳破坏预测过程.试验结果表明:粒子滤波方法对于烧结钕铁硼疲劳破坏演变过程的预测具有良好的可靠性和准确性,其中在疲劳载荷为120 MPa时粒子滤波预测结果的RMSE(Root Mean Square Error,均方根误差)仅为76.69,是支持向量机预测结果的1/4.该研究为脆性磁体的疲劳损伤预测提供了新的思路.A novel method for predicting the abrupt and uncertain fatigue damage of sintered NdFeB is proposed based on particle filtering and micro-magnetic monitoring. First, to accurately reflect the dynamic relationships between system state variables and output variables, a force-magnetic coupling model for sintered NdFeB is introduced into the theoretical framework of particle filtering. Furthermore, the particle filtering evolution equation based on relative permeability is designed. According to the changeable magnetic induction intensity signals during the fatigue damage of sintered NdFeB obtained from the micro-magnetic monitoring system, the particle filtering observation equation based on magnetic induction intensity is constructed. This means that the system state variables are characterized by both input variables and output variables. Then, the prediction for the fatigue damage of sintered NdFeB based on particle filtering algorithm is realized by associating the evolution equation with the observation equation.By monitoring the magnetic induction intensity signals of the regions with stress concentration, the characteristic relationship between stress and magnetic inductionintensity in sintered NdFeB can be established. Therefore, the fatigue damage of sintered NdFeB can be dynamically detected and monitored by observing the changes of magnetic induction intensity signals. Finally, to verify the feasibility and effectiveness of fatigue failure estimation for sintered NdFeB by using the particle filtering method, fatigue experiments on sintered NdFeB magnets are performed. The experimental results show that the estimation of fatigue damage of sintered NdFeB has a high accuracy. The comparison between the results of particle filtering prediction and support-vector machine shows that, when the fatigue load is 120 MPa, the root-mean-square error(RMSE) of the particle filtering prediction result is only 76.69, 1/4 of that of the support-vector machine. This research provides a new idea for predicting the fatigue

关 键 词：烧结钕铁硼 疲劳破坏 力磁耦合 微磁监测 粒子滤波 

分 类 号：TM273[一般工业技术—材料科学与工程] TN713[电气工程—电工理论与新技术]