| Project/Area Number |
06650156
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
機械工作・生産工学
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| Research Institution | KANSAI UNIVERSITY |
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Principal Investigator |
HIGUCHI Masahiro Kansai University, Faculty of Eng., Professor, 工学部, 教授 (50067732)
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| Project Period (FY) |
1994 – 1995
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| Project Status |
Completed (Fiscal Year 1995)
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| Budget Amount *help |
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1995: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1994: ¥1,500,000 (Direct Cost: ¥1,500,000)
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| Keywords | Ultra-High-Speed Grinding / Vitrified Grinding Wheel / Wheel Topograpy / Fractal Geometry / Fractional Brownian Motion / Design / ビトリファイド研削砥石 / トポグラフィ / フラクショナル・ブラウン運動 |
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| Research Abstract |
Developments of new vitrified bonded grinding wheels are required for the ultra-high-speed grinding. On the occasion of developments, a structure of the grinding wheel will have to be designed first thing. However, the structure of the wheel can not easily be described using traditional modeling techniques, because the spatial distribution of abrasive grains over the wheel surface and their morphology show a high degree of complexity and irregularity. Therefore, in this study fractal geometry was introduced for the purpose of characterizing the wheel topography which can not be expressed in terms of Euclidean geometry.
Closely research revealed that the irregular and random wheel topography formedby the kinematic interaction between the abrasive grains and the dressing tool could be quantitatively characterized by means of fractal dimensions. This fact reminded us that a striking statistical resemblance to real wheel topography was producible by fractinal Brownian motions (fBm). Describing various artificial wheel topographies through the fBm and comparing them with the real wheel topographies practically, it was confirmed that the fBm would avail much in the geometric modeling of the wheel structure.
On the sufficient basis of fact and observation, we could form the clear design conception of the wheel structure in consequence. This aspect will be continuously considered further and a computer aided design system of the wheel structure will be devised.
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