质心动态路径规划的变转速齿轮箱时频脊线索引算法  

Time-frequency ridge index algorithm for gearbox under variable speed based on dynamic path planning of barycenter

作　　者：张伯麟 万书亭[1] 赵晓艳 张雄[1] 顾晓辉[2] ZHANG Bo-in;WAN Shu-ting;ZHAO Xiao-yan;ZHANG Xiong;GU Xiao-hui(Hebei Key Laboratory of Electric Machinery Health Maintenance&Failure Prevention,North China Electric Power University,Baoding 071003,China;State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)

机构地区：[1]华北电力大学河北省电力机械装备健康维护与失效预防重点实验室,河北保定071003 [2]石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室,河北石家庄050043

出　　处：《振动工程学报》2024年第6期1077-1088,共12页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(52275109,52105098);河北省自然科学基金资助项目(E2022502007,E2021502038);保定市科技计划基础研究专项基金资助项目(2172P010)。

摘　　要：针对强噪声下难以估计信号瞬时频率的问题,提出了基于质心动态路径规划(DPPB)的变转速齿轮箱时频脊线索引算法。该算法在剖析多路径匹配追踪(MMP)脊线索引算法及其在强噪声下失效原因的基础上,通过对MMP算法得到的脊线集加窗求质心,构建信号的脊线质心稀疏矩阵,并针对质心稀疏矩阵设计动态路径规划函数索引脊线上的质心点,根据脊线代价函数值计算最优时频脊线。将相似度系数Ra和置信度σRa作为脊线提取效果的衡量指标,通过仿真和试验验证了DPPB算法可有效提取强噪声信号的时频脊线,且不同程度噪声下的可靠性和鲁棒性均优于峰值索引算法和MMP脊线索引算法。The paper proposes a time-frequency ridge index algorithm for gearboxes under variable speed conditions,based on Dy-namic Path Planning of Barycenter(DPPB).This algorithm addresses the challenge of estimating the instantaneous frequency of signals in a high-noise environment.The algorithm builds upon the analysis of the Multi-Path Matching Pursuit(MMP)ridge in-dex algorithm and its limitations under high noise.By adding windows to the ridge set obtained by the MMP algorithm,a ridge barycenter sparse matrix of the signal is constructed.A dynamic path planning function is then designed for the barycenter sparse matrix to index the barycenters on the ridge line.The optimal time-frequency ridge line is calculated based on the values of the ridge line cost function.The similarity coefficient Ra and confidenceσRa are used as measures of the ridge extraction effect.Simulations and experiments indicate that the DPPB algorithm can effectively extract the time-frequency ridge of signals in high-noise environ-ments,and it is more reliable and robust than the peak index algorithm and the MMP algorithm under various noise intensities.

关 键 词：故障诊断 齿轮箱 质心动态路径规划(DPPB) 时频脊线索引 多路径匹配追踪(MMP) 时频分析 

分 类 号：TH165.3[机械工程—机械制造及自动化] TH132.41