稀疏信号分解-分段拟合逼近及其无转速计阶比应用
发布时间：2019-02-15 12:45
【摘要】：针对传统无转速阶比存在低阶拟合阶次模糊和高阶拟合频率积分方程难求解的问题,提出了一种基于稀疏信号分解和分段拟合积分逼近的无转速计阶比方法。根据啮合频率的稀疏信号分解动态时间支撑区对瞬时转频分段,并进行低阶多项式拟合,采用积分逼近方法代替求解方程,确定等角度重采样时刻,准确实现无转速计下的阶比分析。仿真和实测信号试验结果表明:基于啮合频率动态时间支撑区对瞬时转频分段,既能保证各段内频率变化简单,又能使分段最少;在各分段内采用2阶多项式就能准确拟合,解决了单个多项式整体拟合精度不高、缺乏自适应性的问题;积分逼近求解等角度重采样时刻,不需要求解方程,有效解决了方程无解、无实数解影响阶比结果的问题;基于稀疏信号分解和分段拟合积分逼近的无转速计阶比方法,为无转速计条件下旋转机械变转速过程信号阶比分析提供了一种新的有效途径。
[Abstract]:In order to solve the problems of low order fuzzy fitting order and difficult solving of high order fitting frequency integral equation, a method of order ratio without tachometer based on sparse signal decomposition and piecewise fitting integral approximation is proposed. According to the sparse signal decomposition dynamic time support region of meshing frequency, the instantaneous switching frequency is segmented, and the low order polynomial fitting is carried out. The integral approximation method is used instead of solving the equation, and the equal angle resampling time is determined. The order analysis without tachometer is realized accurately. The results of simulation and actual signal test show that the instantaneous frequency segment based on the dynamic time support region of meshing frequency can not only guarantee the simple frequency change in each segment, but also make the segment minimum. Two order polynomials can fit accurately in each segment, which solves the problem that the whole fitting accuracy of single polynomial is not high, and the problem of lack of adaptability is solved. The solution of integral approximation is equal angle resampling time without the need to solve the equation, the problem that the equation has no solution and no real solution affects the order result is solved effectively. Based on sparse signal decomposition and piecewise fitting integral approximation, the method of order ratio of tachometer without tachometer provides a new and effective way for signal order analysis of variable speed process of rotating machinery without tachometer.
【作者单位】： 军事交通学院军用车辆系;天津大学机械工程学院;军事交通学院训练部;
【基金】：总后勤部预研资助项目(AS407C001)
【分类号】：TN911.7
本文编号：2423366
[Abstract]:In order to solve the problems of low order fuzzy fitting order and difficult solving of high order fitting frequency integral equation, a method of order ratio without tachometer based on sparse signal decomposition and piecewise fitting integral approximation is proposed. According to the sparse signal decomposition dynamic time support region of meshing frequency, the instantaneous switching frequency is segmented, and the low order polynomial fitting is carried out. The integral approximation method is used instead of solving the equation, and the equal angle resampling time is determined. The order analysis without tachometer is realized accurately. The results of simulation and actual signal test show that the instantaneous frequency segment based on the dynamic time support region of meshing frequency can not only guarantee the simple frequency change in each segment, but also make the segment minimum. Two order polynomials can fit accurately in each segment, which solves the problem that the whole fitting accuracy of single polynomial is not high, and the problem of lack of adaptability is solved. The solution of integral approximation is equal angle resampling time without the need to solve the equation, the problem that the equation has no solution and no real solution affects the order result is solved effectively. Based on sparse signal decomposition and piecewise fitting integral approximation, the method of order ratio of tachometer without tachometer provides a new and effective way for signal order analysis of variable speed process of rotating machinery without tachometer.
【作者单位】： 军事交通学院军用车辆系;天津大学机械工程学院;军事交通学院训练部;
【基金】：总后勤部预研资助项目(AS407C001)
【分类号】：TN911.7
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