改进的计算阶比跟踪及其应用

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (4) : 40-47.

论文

改进的计算阶比跟踪及其应用

明安波 1，2，张炜 2，秦朝烨 1，褚福磊 1

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Improved Computing Order Tracking and its Applications

MING An-bo 1，2，ZHANG Wei 2，QIN Zhao-ye 1，CHU Fu-lei 1

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文章历史 +

摘要

针对传统计算阶比跟踪在匀速以及转速变化较小时存在计算奇异的问题，提出了基于三次样条插值的改进计算阶比跟踪。该方法根据累积转角与时间呈单增函数关系，将时间表示为累积转角的函数后，采用三次样条插值方法进行求解，可实现任意工况下等角度重样时间的估计。采用仿真信号和实验信号验证了该方法在不同转频变化时的有效性。结果表明：改进方法解决了传统计算阶比跟踪在匀速以及转速变化较小时存在的计算奇异问题，拓展了计算阶比跟踪的应用范围，具有较高的工程应用价值。

Abstract

To overcome the computation singularity that the traditional computing order tracking (COT) is not able to estimate the re-sampling time when the rotor system rotates with an invariable frequency or slow-variable frequency, an improved COT method is proposed on the basis of the cubic spline interpolation. Since the cumulate rotation angular increases monotonically as the time pass-by, the time variable is presented to be the function of the cumulate rotation angular based on the principle that the inverse function of a monotone function inevitably exists. The cubic spline interpolation method is used to solve the equations and obtains the re-sampling time of the arbitrary rotation condition. Simulation and experiment are used to validate the efficacy of the improved COT method at various rotation conditions. By solving the computation singularity of the traditional COT method in the application of the invariable or slow-variable rotation frequency condition, the improved COT method extends the applicable range of the COT method and is valuable in engineering applications.

导出引用

明安波;张炜;秦朝烨;褚福磊 . 改进的计算阶比跟踪及其应用[J]. 振动与冲击, 2015, 34(4): 40-47

MING An-bo;ZHANG Wei;QIN Zhao-ye;CHU Fu-lei . Improved Computing Order Tracking and its Applications[J]. Journal of Vibration and Shock, 2015, 34(4): 40-47