ANALYSIS OF SURFACE FINISHED BY ULTRA-PRECISION DIAMOND CUTTING BASED ON THEORY OF COMPLEX SYSTES

基于复杂系统理论的超精密金刚石切削精加工表面分析

• 批准号: 10650120
• 负责人: OKUDA Koichi
• 金额: $ 2.3万
• 依托单位: HIMEJI INSTITUTE OF TECHNOLOGY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650120/
• 关键词: SURFACE PROFILE; DIAMOND CUTTING; COMPLEX SYSTEMS; CHAOS; WAVELET TRANSFORM; 超精密切削加工面; 粗さ解析

The surface profiles obtained by an ultra-precision cutting were analyzed based on theory of the complex systems. The mirror surface profiles consists of the theoretical profile defined by feed and nose radius of the tool and the irregular profile generated by random factors such as the step of grain boundary, the dislocation and so on. In order to separate the profiles by the individual factors from the surface profile and understand the characteristics, we applied the technique of the wavelet transform and the theory of the chaos. Through the investigation of the validity, the following remarks were obtained.1. The average of the wavelet coefficients was suggested as a new parameter for the characterization of the ultra-precision cut surface. The validity of the method to evaluated the surface profile by applying the wavelet transform.2. The wavelet-transformed profiles were analyzed based on the theory of the complex systems. It was found that several profiles had the chaotic characteristics by analyzing the pattern of attractor reconstructed in three-dimensional phase space and Lyapunov exponents. The wavelet components from level -1 to level -8 have the chaotic characteristics. Particularly, the profiles of level -4 and -5 presented the strong chaotic characteristics from point of view of Lyapunov spectrum.3. It was identified that the profiles of the ultra-precision cut surface consisted of three fluctuating components of periodic, random and chaotic ones. It is expected that an unknown characteristics of cut surface can be understood by analyzed the individual wavelet profiles.

基于复杂系统理论，对超精密切削表面轮廓进行了分析。镜面轮廓由刀具进给量和刀尖半径确定的理论轮廓和晶界台阶、位错等随机因素产生的不规则轮廓组成，为了从表面轮廓中分离出单个因素引起的轮廓，了解其特征，本文应用小波变换技术和混沌理论。通过效度考察，得出以下结论：1.提出了小波系数平均值作为表征超精密切削表面的一个新参数。应用小波变换评价表面轮廓的有效性.基于复杂系统理论对小波变换后的轮廓进行了分析。通过分析三维相空间重构吸引子的模式和李雅普诺夫指数，发现几个剖面具有混沌特征。从第一级到第八级的小波分量具有混沌特征。特别是从李雅普诺夫谱的角度来看，第-4级和第-5级的谱线呈现出较强的混沌特征.结果表明，超精密切削表面轮廓由周期、随机和混沌三种波动分量组成。通过对小波轮廓的分析，可以了解切割表面的未知特征。

项目成果

T.Akita, M.Hasegawa, K.Okuda, M.Nunobiki: "Lyapunov Characterization of Roughness Distribution"Proceedings of The 1st Manufacturing and Machine Tool Conference. 91-92 (1999)

T.Akita、M.Hasekawa、K.Okuda、M.Nunobiki：“粗糙度分布的李雅普诺夫表征”第一届制造和机床会议论文集。

奥田,長谷川,布引: "超精密切削加工面における結晶粒界段差のAFM観察"精密工学会秋期大会学術講演会講演論文集. 583 (1998)

奥田、长谷川、布引：《超精密加工表面上晶界台阶的 AFM 观察》日本精密工程学会秋季会议学术会议论文集 583（1998 年）。

Y.Shibata, M.Hasegawa, K.Okuda, M.Nunobiki: "Characterization of Ultra-Precision Diamond Cut Surface with Wavelet Transform"Proceedings of Symposium at Annual Meeting of JSPE. 508 (1999)

Y.Shibata、M.Hasekawa、K.Okuda、M.Nunobiki：“用小波变换表征超精密金刚石切割表面”JSPE 年会研讨会论文集。

中西,長谷川,奥田,布引: "研削切断面の粗さ特性"精密工学会春期大会学術講演会講演論文集. 267 (2000)

Nakanishi、Hasekawa、Okuda、Nunobiki：“研磨切削表面的粗糙度特性”日本精密工程学会春季会议记录 267（2000）。

奥田、小田、長谷川、布引: "アルミニウム粗大結晶の超精密切削加工"精密工学会秋期大会学術講演会講演論文集. 200 (1999)

Okuda、Oda、Hasekawa、Nunobiki：“粗铝晶体的超精密切割”日本精密工程学会秋季会议记录 200 (1999)。