Application of HHT analysis in surface roughness
-
摘要: Hilbert-Huang变换(HHT, Hilbert-Huang Transform)是最新发展起来的处理非线性非平稳信号的时频分析方法,其基本的实现分为两步:多分辨经验模态分解和瞬时频率的求解,获得信号的时频谱.该方法的关键是多分辨经验模态分解(EMD, Empirical Mode Decomposition),任何信号都可以分解为有限数目并且具有一定物理意义的固有模态函数(IMF, Intrinsic Mode Function).用于表面分析,HHT可以将粗糙度曲线分解成不同频率范围的分量,每一个分量都有其独有的物理意义,区分各影响因素,得到Hilbert谱,进而可以分析加工过程中各影响因素的作用.针对超光滑表面的粗糙度谱特征进行了HHT变换分析,并得出了相应结论,对加工有一定的指导意义.
-
关键词:
- Hilbert-Huang变换 /
- 粗糙度 /
- 超光滑表面 /
- 谱分析
Abstract: HHT(Hilbert-Huang transform) is a new two-step time-frequency analysis method to analyze the nonlinear and non-stationary signal. The key step of this method is EMD(empirical mode decomposition) method with which any complicated data set can be decompose into a finite and often small number of IMF(intrinsic mode functions). The HHT can decomposed curve of the surface roughness into component with different frequency spectrum. Each component has its own physical meaning. So it can distribute all sorts of factor which had an influence on finished surface. As a consequence, the allsided Hilbert spectrum could be got. Based on this spectrum, it can be know how contributing factor function in workpiece process. HHT is used in the analysis of roughness, and the conclusion is helpful to machining. -
[1] 谭善文,秦树人, 汤宝平.Hilbert-Huang变换的滤波特性及其应用[J]. 重庆大学学报(自然科学版),2004,27(2):9-12 Tan Shanwen, Qin Shuren, Tang Baoping. The filtering character of Hilbert-Huang transform and its application[J] . Journal of Chongqing University(Natural Science Edition),2004,27(2):9-12(in Chinese) [2] Huang N E. The empirical mode decomposition and Hilbert spectrum for nonlinear and non-stationary time series analysis [J]. Proc R Soc London,1998,A454:903-995 [3] 胡广书. 数字信号处理——理论算法与实现[M]. 北京:清华大学出版社,1997:120-124 Hu Guangshu. Digital signal processing—theory, arithmetic and implement[M]. Tsinghua University Press, 1997:120-124(in Chinese) [4] Shi Chunxiang, Luo Qifeng. Hilbert-Huang transform and wavelet analysis of time history signal[J]. Acta Seismologica Sinca, 2003, 16(4):422-429 [5] Huang Zhongcha, Tong Jijun, Chen Yuquan, et al. A novel spectral analysis method of atrial fibrillation signal based on Hilbert-Huang transform . Proceedings of the 2005 IEEE, Engineering in Medicine and Biology 27th Annual Conference. Shanghai:,2005:1-4 -
点击查看大图
计量
- 文章访问数: 2757
- HTML全文浏览量: 123
- PDF下载量: 1056
- 被引次数: 0
下载:
