In the diagnosis of rotor crack based on wavelet analysis, it is a painful task to find out an adaptive mother wavelet as many of them can be chosen and the analytic results of different mother wavelets are yet not th...In the diagnosis of rotor crack based on wavelet analysis, it is a painful task to find out an adaptive mother wavelet as many of them can be chosen and the analytic results of different mother wavelets are yet not the same. For this limitation of wavelet analysis, a novel diagnostic approach of rotor crack based on multi-scale singular-spectrum analysis （MS-SSA） is proposed. Firstly, a Jeffcott model of a cracked rotor is developed and the forth-order Runge-Kutta method is used to solve the motion equations of this rotor to obtain its time response （signals）. Secondly, a comparatively simple approach of MS-SSA is presented and the empirical orthogonal functions of different orders in various scales are regarded as analyzing functions. At last, the signals of the cracked rotor and an uncracked rotor are analyzed using the proposed approach of MS-SSA, and the simulative results are compared. The results show that, the data-adaptive analyzing functions can capture many features of signals and the rotor crack can be identified and diagnosed effectively by comparing the analytic results of signals of the cracked rotor with those of the uncracked rotor using the analyzing functions of different orders.展开更多
针对局部特征尺度分解(Local Characteristic-scale Decomposition,LCD)方法中两极值点连线在极值点处一阶微分不连续,引起分解精度降低问题,提出新非平稳信号分析方法 -基于分段多项式的局部特征尺度分解(Piecewise Polynomial based L...针对局部特征尺度分解(Local Characteristic-scale Decomposition,LCD)方法中两极值点连线在极值点处一阶微分不连续,引起分解精度降低问题,提出新非平稳信号分析方法 -基于分段多项式的局部特征尺度分解(Piecewise Polynomial based Local Characteristic-scale Decomposition,PPLCD)。用分段多项式取代LCD中直线连接,且均值曲线插值点由相邻3个同类极值点构成的多项式计算产生。通过仿真信号将PPLCD与LCD对比,结果表明,PPLCD在提高分量正交性、精确性等具有一定优越性;由转子碰摩故障诊断表明该方法的有效性。展开更多
局部特征尺度分解(local characteristic-scale decomposition,LCD)方法是最近新提出的一种先进的自适应时频分析方法。由于LCD方法中均值曲线插值点的属性主要由相邻两同类极值点的属性决定,不能很好地体现数据的整体变化趋势,从而可...局部特征尺度分解(local characteristic-scale decomposition,LCD)方法是最近新提出的一种先进的自适应时频分析方法。由于LCD方法中均值曲线插值点的属性主要由相邻两同类极值点的属性决定,不能很好地体现数据的整体变化趋势,从而可能引起分解精度降低。根据上述问题,提出了基于Newton插值的局部特征尺度分解(newton interpolation based local characteristic-scale decomposition,NILCD)方法。该方法采用Newton插值取代LCD中的线性插值,均值曲线的插值点由相邻的三个同类极值点构成的Newton插值多项式计算产生,改进LCD。通过仿真信号将NILCD与LCD方法进行分析对比,结果证实了NILCD在提高分量正交性和精确性等方面具有一定的优越性。并将NILCD方法应用于转子碰摩故障的诊断,实验结果表明了新方法的有效性。展开更多
基金This project is supported by National Fundamental Research and Development Project Foundation of China(No.G1998020321).
文摘In the diagnosis of rotor crack based on wavelet analysis, it is a painful task to find out an adaptive mother wavelet as many of them can be chosen and the analytic results of different mother wavelets are yet not the same. For this limitation of wavelet analysis, a novel diagnostic approach of rotor crack based on multi-scale singular-spectrum analysis （MS-SSA） is proposed. Firstly, a Jeffcott model of a cracked rotor is developed and the forth-order Runge-Kutta method is used to solve the motion equations of this rotor to obtain its time response （signals）. Secondly, a comparatively simple approach of MS-SSA is presented and the empirical orthogonal functions of different orders in various scales are regarded as analyzing functions. At last, the signals of the cracked rotor and an uncracked rotor are analyzed using the proposed approach of MS-SSA, and the simulative results are compared. The results show that, the data-adaptive analyzing functions can capture many features of signals and the rotor crack can be identified and diagnosed effectively by comparing the analytic results of signals of the cracked rotor with those of the uncracked rotor using the analyzing functions of different orders.
文摘针对局部特征尺度分解(Local Characteristic-scale Decomposition,LCD)方法中两极值点连线在极值点处一阶微分不连续,引起分解精度降低问题,提出新非平稳信号分析方法 -基于分段多项式的局部特征尺度分解(Piecewise Polynomial based Local Characteristic-scale Decomposition,PPLCD)。用分段多项式取代LCD中直线连接,且均值曲线插值点由相邻3个同类极值点构成的多项式计算产生。通过仿真信号将PPLCD与LCD对比,结果表明,PPLCD在提高分量正交性、精确性等具有一定优越性;由转子碰摩故障诊断表明该方法的有效性。
文摘局部特征尺度分解(local characteristic-scale decomposition,LCD)方法是最近新提出的一种先进的自适应时频分析方法。由于LCD方法中均值曲线插值点的属性主要由相邻两同类极值点的属性决定,不能很好地体现数据的整体变化趋势,从而可能引起分解精度降低。根据上述问题,提出了基于Newton插值的局部特征尺度分解(newton interpolation based local characteristic-scale decomposition,NILCD)方法。该方法采用Newton插值取代LCD中的线性插值,均值曲线的插值点由相邻的三个同类极值点构成的Newton插值多项式计算产生,改进LCD。通过仿真信号将NILCD与LCD方法进行分析对比,结果证实了NILCD在提高分量正交性和精确性等方面具有一定的优越性。并将NILCD方法应用于转子碰摩故障的诊断,实验结果表明了新方法的有效性。
