1970
DOI: 10.2493/jjspe1933.36.196
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Statistical Approach to Grinding Mechanism (2nd Report)

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Cited by 7 publications
(8 citation statements)
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“…Generally, these parameters have a statistical distribution. Therefore, to understand this phenomenon, an attempt to evaluate grinding parameters by statistical considerations has been reported from about 1960's [3][4][5][6][7][8]. For example, Matsui and Shoji, they proposed the statistically model for length and engaging depth of the successive grains (for more details, refer to their reports [6,7]).…”
Section: Dp ¼ σDscosγcosϕmentioning
confidence: 99%
See 1 more Smart Citation
“…Generally, these parameters have a statistical distribution. Therefore, to understand this phenomenon, an attempt to evaluate grinding parameters by statistical considerations has been reported from about 1960's [3][4][5][6][7][8]. For example, Matsui and Shoji, they proposed the statistically model for length and engaging depth of the successive grains (for more details, refer to their reports [6,7]).…”
Section: Dp ¼ σDscosγcosϕmentioning
confidence: 99%
“…Therefore, to understand this phenomenon, an attempt to evaluate grinding parameters by statistical considerations has been reported from about 1960's [3][4][5][6][7][8]. For example, Matsui and Shoji, they proposed the statistically model for length and engaging depth of the successive grains (for more details, refer to their reports [6,7]). However, generally, it is required the highly calculation cost in the numerical simulation with the statistical method [8,9].…”
Section: Dp ¼ σDscosγcosϕmentioning
confidence: 99%
“…Matsui and Syoji [4,5,6] and Matsui [7] developed grinding mechanism models accommodating the uneven 3D distributions of cutting edges of the abrasive grains in a stochastic manner for determining the surface roughness, maximum grain depth of cut, and uncut chip length, and alike under various grinding conditions. The authors also identified the influences of the positions and tip angles of cutting edges on the grinding performances.…”
Section: Literature Review On Grinding Mechanismmentioning
confidence: 99%
“…The simulation results and the experimental results of grinding force and ground surface roughness show a close similarity. Shimada et al [9] modified the models of Matsui and Syoji [4,5,6] and Matsui [7] and proposed a theoretical model of grinding mechanism for calculating the surface roughness for the slant feed grinding operations. The calculated results were validated by experimental ones using a customized vibration assisted micro-grinding device.…”
Section: Literature Review On Grinding Mechanismmentioning
confidence: 99%
“…The statistical approach calculating ground surface roughness was originally proposed by Matsui et al for conventional grinding [7][8][9]. This paper modified the model and made it suitable for ultrasonic-assisted grinding.…”
Section: Introductionmentioning
confidence: 99%