基于EDFT的非均匀欠采样叶尖定时信号分析

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (5) : 39-45.

论文

张继旺

作者信息 +

Analysis of nonuniform under-sampling blade tip timing signal based on EDFT

ZHANG Jiwang, DING Keqin

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文章历史 +

摘要

针对叶尖定时信号因严重的非均匀采样和欠采样导致的谱分析难题，提出了基于扩展离散傅里叶变换（EDFT）的分析方法。不同于传统的傅里叶变换，EDFT是以傅里叶积分变换为目标，在扩展的频率范围内通过构造和优化变换基函数替代传统FFT变换中的指数基来实现非均匀和欠采样信号的谱分析，在分析中利用原始数据迭代和近似拟合保证了分析精度。该方法突破了奈奎斯特采样定理的限制，扩大了分析频率范围，分析谱线数也不再受限于采样点数，提高了频率分辨率。为了验证所提方法的可行性和可靠性，采用所构建的叶尖定时系统采样数学模型生成数据和试验台测试数据分别进行了方法应用分析，结果显示无论是仿真数据或试验数据，当传感器数量大于等于3时，基于所提方法能够准确分析得到叶片振动的谱信号，表明所提方法可以有效地解决非均匀欠采样叶尖定时信号的谱分析的难题，且具有良好的抗干扰性。

Abstract

In order to solve the problem that it is difficult to analyze the blade vibration frequency caused by the serious nonuniform sampling and under-sampling of the tip timing signal, an analysis method of the tip timing signal based on the extended discrete Fourier transform (EDFT) is proposed. Different from the traditional Fourier transform, the EDFT takes the Fourier integral transform as the goal and uses the optimized transform basis function to replace the traditional DFT transform in the extended frequency range. The method is not restricted by Nyquist sampling theorem, which expands the frequency range and improves the frequency resolution. In order to verify the feasibility and reliability of the proposed method, the data generated by the mathematical model of sampling process and the test data are analyzed respectively. The results show that when the number of sensors is more than or equal to 3, the accurate blade vibration spectrum signal can be obtained based on the simulation data or test data, which shows that the proposed method can effectively solve the problem of spectrum analysis of nonuniform under-sampling tip timing signal, and has good anti-interference performance.

导出引用

张继旺. 基于EDFT的非均匀欠采样叶尖定时信号分析[J]. 振动与冲击, 2021, 40(5): 39-45

ZHANG Jiwang, DING Keqin. Analysis of nonuniform under-sampling blade tip timing signal based on EDFT[J]. Journal of Vibration and Shock, 2021, 40(5): 39-45

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