基于频谱能量形态拟合的加速度积分方法研究

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (13) : 7-12.

论文

陈太聪，张奇

作者信息 +

Acceleration integration method based on frequency spectral energy morphological fitting

CHEN Taicong, ZHANG Qi

Author information +

文章历史 +

摘要

针对带噪加速度信号的积分问题，提出一种基于频谱能量形态拟合的频域积分新方法，定义为有效频段法。假设峰值主频临近区域的频谱曲线符合高斯函数分布，根据该区域内带噪信号的累积能量变化，拟合得到相关高斯函数的参数，从而根据三倍标准差原则确定主频有效信息的分布范围，进而通过有效频段内的频域积分和傅立叶逆变换，得到相应的速度和位移信号。最后，通过数值模拟算例，考察有效频段法在多频简谐激励和随机激励下的积分效果，并与传统频域积分方法进行对比。结果表明，相对于传统频域积分方法，有效频段法可以实现积分频段的自动确定，能得到简谐激励下更高的积分精度和随机激励下稳定且良好的积分精度，抗噪性能更强。

Abstract

Here, aiming at the integration problem of noisy acceleration signals, a new frequency domain integration method based on frequency spectral energy morphological fitting was proposed. It was called the effective frequency band method. Assuming that the frequency spectral curve within a range near peak value main frequency satisfies Gaussian distribution, according to cumulative energy changes of a noisy acceleration signal within this range, the corresponding parameters of Gaussian distribution were fitted to determine the distribution range (the effective frequency band) of the main frequency effective information using the 3principle. Then the corresponding velocity and displacement signals were achieved through the frequency domain integration and the inverse Fourier transformation within the effective frequency band. Finally, through numerical simulation examples, the integration effect of the effective frequency band method was inspected under multi-frequency harmonic excitation and random excitation, respectively. The results were compared with those using the traditional frequency domain integration method. It was shown that compared to the traditional frequency domain integration method, the effective frequency band one can be used to realize integration frequency band’s automatic determination, obtain higher integration accuracy under harmonic excitation and stable and good integration accuracy under random excitation, and have a stronger anti-noise ability.

导出引用

陈太聪，张奇. 基于频谱能量形态拟合的加速度积分方法研究[J]. 振动与冲击, 2019, 38(13): 7-12

CHEN Taicong, ZHANG Qi. Acceleration integration method based on frequency spectral energy morphological fitting[J]. Journal of Vibration and Shock, 2019, 38(13): 7-12

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