正弦扫频振动试验结构响应的高精度频谱分析方法

A method for high-accuracy spectrum analysis of structural response in sine-swept vibration test

  • 摘要: 提出一种基于扫频规律的频率跟踪离散傅里叶变换(DFT)方法,用于处理正弦扫频振动试验中的结构响应信号。首先基于过零点检测和最小二乘法进行信号基频辨识,并根据基频对离散时域信号进行整周期截断,以减少谐波分析中频谱泄漏造成的误差;然后通过DFT方法对截断后的时域信号进行频谱分析,得到信号的幅值谱。利用该方法对某航天器正弦振动试验数据进行频谱分析,并和其他的时频分析方法进行精度对比。结果表明,该方法适用性好且能有效减小频谱分析误差。

     

    Abstract: A frequency tracking discrete Fourier transform (DFT) algorithm based on frequency sweep for analyzing the swept sine test signal is proposed. The fundamental frequency is identified based on the zero crossing and the least squares techniques. The discrete time signal is truncated at integer periods according to the fundamental frequency, to minimize the effect of the frequency spectrum leakage in the analysis of the harmonics, and the spectrum of the truncated signal is calculated by the DFT to obtain the harmonic amplitude of the sample signal. This method is used to analyze the frequency spectrum of the sinusoidal vibration test data of a spacecraft, and the accuracy is compared with that of other time-frequency analysis methods. It is shown that the proposed method has a good adaptability and can be used to reduce the error of the frequency analysis.

     

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