二维经验模态分解在工程表面形貌误差评定中的应用

任志英; 高诚辉; 罗德海; 林有希; 张世忠

doi:10.3788/OPE.20172402.0425

您当前的位置：

首页 >

文章列表页 >

二维经验模态分解在工程表面形貌误差评定中的应用

微纳技术与精密机械 | 更新时间：2020-07-07

- 二维经验模态分解在工程表面形貌误差评定中的应用
- Application of bidimensional empirical mode decomposition in error evaluation for engineering surface texture
- 光学精密工程 2017年25卷第2期页码：425-432
- 作者机构：
  
  1.福州大学机械工程及自动化学院, 福州 350108
  2.福建省福光股份有限公司, 福州 350108
- 作者简介：
  
  [ "任志英(1980-), 女, 浙江嵊州人, 博士, 副教授, 2015年于福州大学获得博士学位, 现为福州大学机械工程学院硕士生导师, 主要从事摩擦学中表面表征方法研究。E-mail: renzyrose@126.com" ]
  高诚辉(1953-), 男, 福建福清人, 博士, 教授; 1990年在机械部机械科学研究院获得博士学位。现为福州大学副校长, 机械工程及自动化学院博士生导师, 主要从事摩擦学研究, 数字化设计等。E-mail:gch@fzu.edu.cn GAO Cheng-hui, E-mail:gch@fzu.edu.cn
- 基金信息：
  
  国家自然科学基金资助项目(51375094);福建省自然科学基金资助项目(2015J01195);清华大学摩擦学国家重点实验室开放基金资助项目(SKLTKF13B02);福州市科技局资助项目(2014-G-74);福州大学人才基金资助项目(XRC-1576)
- DOI：10.3788/OPE.20172402.0425
  中图分类号： TH161.14
- 收稿日期：2016-08-21，
  
  录用日期：2016-10-11，
  
  纸质出版日期：2017-02-25
- 稿件说明：
移动端阅览
任志英, 高诚辉, 罗德海, 等. 二维经验模态分解在工程表面形貌误差评定中的应用[J]. 光学精密工程, 2017,25(2):425-432.

Zhi-ying REN, Cheng-hui GAO, De-hai LUO, et al. Application of bidimensional empirical mode decomposition in error evaluation for engineering surface texture[J]. Optics and precision engineering, 2017, 25(2): 425-432.
任志英, 高诚辉, 罗德海, 等. 二维经验模态分解在工程表面形貌误差评定中的应用[J]. 光学精密工程, 2017,25(2):425-432. DOI： 10.3788/OPE.20172402.0425.

Zhi-ying REN, Cheng-hui GAO, De-hai LUO, et al. Application of bidimensional empirical mode decomposition in error evaluation for engineering surface texture[J]. Optics and precision engineering, 2017, 25(2): 425-432. DOI： 10.3788/OPE.20172402.0425.

摘要

针对目前表面微观形貌面形误差分离方法中存在边界畸变及自适应差等缺点，提出了将具有自适应时频分辨能力的二维经验模态分解算法（bidimensional empirical mode decomposition，BEMD）应用于三维工程表面面型误差分离中，同时用Riesz变换构造单演信号，计算信号整体的频率特征，完成对二维经验模态分解算法的终止准则的改进，使其能严格按照ISO4287所规定的截止波长分离三维表面各频段形貌误差。仿真结果表明，本文新方法相比于国标ISO中高斯滤波以及常用小波滤波，在分离三维工程粗糙表面各面型误差时，所得分离图形效果远优于传统方法所得，且各频段误差对应的三维评定参数误差均小于5%。最后对光学镀膜元件实例进行分析，结果表明该算法能够很好地分离各形貌误差的的空间信息，所得参数评定基准面相对传统方法不存在边界畸变等问题，因此该方法在实际工程表面评定应用中具有可行性。

Abstract

In consideration of the disadvantages such as boundary distortion and poor adaptability in the method for microstructure surface error separation

the bidimensional empirical mode decomposition (BEMD) with adaptive time-frequency resolution capacity was put forward and applied to three-dimensional engineering surface error separation; at the same time

Riesz transform was utilized to construct monogenic signal

calculated overall frequency characteristics of the signal and improved the termination criterion for bidimensional empirical mode decomposition

thus keeping it in strict accordance with the error specified in ISO4287 for each frequency band of the 3D surface with cutoff wavelength and long separation. The simulation results show that compared with Gaussian filter in ISO and commonly-used wavelet filter

this new method can achieve a far better separation effect than traditional methods in error separation for 3D engineering rough surface

and the 3D evaluation parameter errors corresponding to the error in each frequency band are all lower than 5%. Finally

an instance analysis was conducted in the optical filming elements

and the results show that the method can well separate the spatial information of each surface error

and the reference surface for parameter evaluation is free from problems such boundary distortion compared with traditional methods. Hence

the application of the method in actual engineering surface error evaluation is of great feasibility.

关键词

Keywords

references

BORYCZKO A. Effect of waviness and roughness components on transverse profiles of turned surfaces[J]. Measurement, 2013, 46(1):688-696.

RAJA J B, MURALIKRISHNAN S F. Recent advances in separation of roughness, waviness and form[J]. Precision Engineering, 2002, 26(2):222-235.

REN ZH Y, GAO CH H, SHEN D. 3D profile filter algorithm based on parallel generalized B-spline approximating Gaussian[J].Chinese Journal of Mechanical Engineering, 2015, 1(28):148-154

CHEN Q, YANG S, LI Z. Surface roughness evaluation by using wavelets analysis[J]. Precision Engineering, 1999, 23(3):209-212.

任志英, 高诚辉, 林建兴, 等.基于双树复小波变换的三维粗糙表面评定方法研究[J].中国机械工程, 2014(13):1795-1799.

REN ZH Y, GAO CH H, LIN J X, et al.. Evaluation method of three-dimensional rough surface based on dual-tree complex wavelet transform methods[J]. China Mechanical Engineering, 2014(13):1795-1799.(in Chinese)

NUNES J C. Image analysis by bidimensional empirical mode decomposition[J]. Image and Vision Computing, 2003, 21(12):1019-1026.

冯孔森.基于改进的二维经验模态分解的医学图像融合[D].吉林:吉林大学, 2012.

FENG K SH. Medical Image Fusion Based on Improved Bidimensional Empirical Mode Decomposition [D]. Jiling:Jiling University, 2012.(in Chinese)

周义.快速二维经验模态分解和相位追踪方法及其在导波无损检测中的应用[D].上海:上海交通大学, 2014.

ZHOU Y. Fast bi - dimensional Empirical Mode Decomposition and Phase Tracking Method and Their Applications in the Guided - wave - based Nondestructive Testing [D]. Shanghai:Shanghai Jiao Tong University, 2014.(in Chinese)

沈滨, 崔峰, 彭思龙.二维EMD的纹理分析及图像瞬时频率估计[J].计算机辅助设计与图形学学报, 2005, 17(10):205-212.

SHEN B, CUI F, PENG S L. Bidimensionai EMD for Texture Analysis and Estimation of the Instantaneous Frequencies of an Image[J]. Journal of Computer Aided Design & Computer Graphics, 2005, 17(10):205-212. (in Chinese)

FELSBERT M, SOMMER G. The monogenic signal[J].IEEE Trans Signal Process, 2001, 49(2):3136-3144.

任志英, 高诚辉, 黄健萌.基于L∞回归稳健拟合法的气缸套内表面形貌评定[J].机械工程学报, 2014, 50(17):99-106.

REN ZH Y, GAO CH H, HUANG J M. Based on L∞ regression with robust fitting algorithm for surface topography evaluation of the inner wall of the cylinder jackets[J]. Journal of Mechanical Engineering, 2014, 50(17):99-106. (in Chinese)

ISO 4287. Geometrical product specifications (GPS)-Surface Texture:Profile method-Terms, definitions and surface texture parameters:International Organization for Standardization[S].1997.

ISO 25178-2. Geometrical Product Specifications (GPS)--Surface texture:Areal-Part 2:Terms, definitions and surface texture parameters:International Organization for Standardization[S].2012.

张志航.基于小波分析的微细电火花切割表面三维粗糙度评定研究[D].哈尔滨:哈尔滨工业大学, 2012.

ZHANG ZH H. Research on Three - dimensional Roughness Assessment of MWEDM Surface Based on Wavelet Analysis [D]. Harbin:Harbin Engineering University, 2012.(in Chinese)

浏览量

114

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

改进差分进化算法在大型工件平面度评定中的应用

平面度误差的几何搜索逼近评定算法

改进蜂群算法在平面度误差评定中的应用

粒子群优化算法及其在圆柱度误差评定中的应用

基于遗传算法的圆度误差评估