自适应径向抛物线核时频分布及其在故障诊断中的应用  

ADAPTIVE RADIAL PARABOLA KERNEL REPRESENTATION AND ITS APPLICATION IN THE FAULT DIAGNOSIS

作　　者：王胜春[1] 韩捷[2] 李志农[2] 李剑峰[1] 

机构地区：[1]山东大学机械工程学院,济南250061 [2]郑州大学振动工程研究所,郑州450002

出　　处：《机械强度》2007年第2期180-184,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金(5067209);河南省杰出人才创新基金(0621000500);河南省重大科技攻关(0122022000)资助项目~~

摘　　要：针对二次型时频分布中固定核函数性能依赖于信号的局限性,提出一种新的自适应核函数---径向抛物线型核(radial parabola kernel,RPK)。该核函数可根据被分析信号的不同特性,采用优化方法自适应对模糊函数进行低通滤波,最大程度地滤除交叉干扰项,提高时频分辨率,具有对信号的广泛自适应性。与常用的Wigner-Ville分布、Choi-Wil-lams分布、锥形核分布相比,显示了其明显的优势。最后,将该核函数应用于轴承故障诊断中,取得很好的效果。Based on the deficiency of fixed-kernel in bilinear time-frequency distribution（TFD）, i.e. its property depends on the characteristics of the analyzed signal. A new adaptive kernel function, named the radial parabola kernel （RPK）, is proposed, the RPK can adopt the optimizing method to filter cross-terms adaptively according to the signal distribution, obtain good time-frequency resolution, and offers improved TFD for a large class of signals. Compared with several traditional fixed kernel functions i.e. Wigner-Ville distribution, Choi-Willams distribution and cone-kernel distribution, the RPK function has the obvious superiority. At last, the RPK function is applied to the fault diagnosis of bearing, the experiment results show this method is very effective.

关 键 词：径向抛物线核 时频分布 自适应优化 故障诊断 

分 类 号：TH165.3[机械工程—机械制造及自动化] TH17