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›› 2006, Vol. 6 ›› Issue (4): 627-632.

• 系统与集成 • 上一篇    下一篇

基于撞击流混合器压力波动信号的小波多重分形奇异谱

张建伟,焦丽   

  1. 沈阳化工学院机械工程学院
  • 出版日期:2006-08-20 发布日期:2006-08-20

Wavelet Multi-fractal Singularity Spectrum: Application to Pressure Fluctuation in an Impinging Stream Mixer

ZHANG Jian-wei,JIAO Li   

  1. Shenyang institute of chemical technology
  • Online:2006-08-20 Published:2006-08-20

摘要: 为了探讨浸没循环撞击流混合器撞击区非线性和混沌特性,引入不同测度多重分形分析的方法,用小波变换模极大值与多重分形测度分析方法相结合,检测混合器撞击区压力波动信号奇异性并得出多重分形奇异谱. 结果显示奇异谱基本呈单峰形状,表明混合器中压力波动信号具有明显的多重分形特性,且Holder指数大概分布在0.5~3.5之间,其中,撞击区的径向范围r≤20 mm的Holder指数分布大于1.0的较多,表明撞击区内的信号奇异性增强,撞击区的径向范围为r≤20 mm.

关键词: 信号处理, 湍流, 撞击流, 压力波动, 多重分形, 小波变换, 奇异谱

Abstract: In order to understand the intrinsic features of heterogeneity, non-linearity and chaotic behavior of fluid system in an impinging stream mixer, the wavelet transform modulus maxima method and multi-fractal measurement analysis were presented to describe the heterogeneity features of the pressure fluctuation in the impinging area. Based on the method, the multi-fractal singularity spectra of pressure fluctuation signals were measured in the impinging stream mixer. The multi-fractal characteristic of pressure fluctuation signal is shown in the impinging stream mixer and the exponent H values are from 0.5 to 3.5, whereas H>1.0 is shown with r≤20 mm. Thus, r≤20 mm is considered as the radial limitation in the impinging area.

Key words: signal processing, turbulent flow, impinging stream, pressure fluctuation, multi-fractal, wavelet transform, singularity spectrum