Research Paper:
Evaluation of Abrasive Grain Distribution of the Grinding Belt Based on Modified Information Entropy
Yasutake Haramiishi and Tsuyoshi Shimizu
University of Yamanashi
4-3-11 Takeda, Kofu-shi, Yamanashi 400-8511, Japan
Corresponding author
Recent studies have shown that the cutting edge spacing and density of abrasive grains on the grinding tool surface affect the accuracy and tool life of grinding tools. However, studies on the effects of dispersion on the abrasive grain distribution have not yet been conducted. In this study, it was shown that the machining ability of a tool can be evaluated and tool life can be determined using an index of normalized information entropy for abrasive grain dispersion. However, it was difficult to continuously obtain transfer images with different loadings during the measurement of the abrasive grain distribution. Additionally, it has been revealed that in entropy evaluation, the evaluation values may remain the same even when the distribution state changes. Therefore, in this study, a device was developed to obtain a transferred image by continuously changing the loading conditions. We also examine the change in the number of divisions in the evaluation region to modify the entropy evaluation. To demonstrate the effectiveness of the proposed method, models with varying abrasive grain numbers and distributions were prepared, and the abrasive grain distributions were evaluated. After studying the entropy evaluation by simulation, an evaluation of a grinding belt in a processing experiment was conducted. It was demonstrated that evaluation using information entropy is possible in all cases by employing a method that decreases the number of divisions in the evaluation region.
- [1] S. Matsui, “Characterization of grinding wheel surface,” Jpn. Soc. Precis. Eng., Vol.61, No.11, pp. 1533-1536, 1995 (in Japanese).
- [2] A. Hosokawa, H. Yasui, Y. Kanao, and K. Sato, “Characterization of the Grinding Wheel Surface by Means of Image Processing (1st Report),” Jpn. Soc. Precis. Eng., Vol.62, No.9, pp. 1297-1301, 1996 (in Japanese). https://doi.org/10.2493/jjspe.62.1297
- [3] A. Sakaguchi, T. Kawashita, and S. Matsuo, “Development of three-dimensional measurement system of grinding wheel surface with image processing,” J. Jpn. Soc. Abras. Technol., Vol.56, No.12, pp. 830-834, 2012 (in Japanese). https://doi.org/10.11420/jsat.56.830
- [4] G. Uchida, T. Yamada, K. Miura, and H. S. Lee, “Measuring of Grinding Wheel Surface Shape by Means of Laser Probe and Evaluation of Cutting Edge Density,” Proc. of 21st Int. Symp. on Advances in Abrasive Technology (ISAAT2018), Vol.41, 2018.
- [5] G. Uchida, T. Yamada, K. Miura, and H. S. Lee, “Evaluation of Abrasive Distribution Using Measuring Device of Grinding Wheel Surface Shape in Before and After Dressings,” Proc. of 22nd Int. Symp. on Advances in Abrasive Technology (ISAAT2019) , 2019.
- [6] W. Liu, Z. Deng, Y. Shang, and L. Wan, “Parametric evaluation and three-dimensional modelling for surface topography of grinding wheel,” Int. J. Mech. Sci., Vol.155, pp. 334-342, 2019. https://doi.org/10.1016/j.ijmecsci.2019.03.006
- [7] G. Uchida, T. Yamada, K. Ichihara, M. Harada, K. Miura, and H. S. Lee, “Evaluation of grinding wheel surface shape on difference multiple helical dressing condition,” Int. J. Automation Technol., Vol.15, No.1, pp. 57-64, 2021. https://doi.org/10.20965/ijat.2021.p0057
- [8] G. Uchida, T. Yamada, K. Ichihara, M. Harada, and T. Kohara, “Evaluation of the Relationship Among Dressing Conditions Using Prismatic Dresser, Dressing Resistance, and Grinding Characteristics,” Int. J. Automation Technol., Vol.16, No.1, pp. 12-20, 2022. https://doi.org/10.20965/ijat.2022.p0012
- [9] N. Yoshihara, H. Takahashi, and M. Mizuno, “Effect of the Abrasive Grain Distribution on Ground Surface Roughness,” Int. J. Automation Technol., Vol.16, No.1, pp. 38-42, 2022. https://doi.org/10.20965/ijat.2022.p0038
- [10] A. Sakaguchi, T. Kawashita, and S. Matsuo, “Measuring Surface Topography of a Diamond Wire Using an Image Processing Method,” Advanced Materials Research, Vol.1017, pp. 709-714, 2014. https://doi.org/10.4028/www.scientific.net/AMR.1017.709
- [11] C. Chung, G. D. Tsay, and M.-H. Tsai, “Distribution of diamond grains in fixed abrasive wire sawing process,” Int. J. Adv. Manuf. Technol., Vol.73, pp. 1485-1494, 2014. https://doi.org/10.1007/s00170-014-5782-y
- [12] D. Lipiński and W. Kacalak, “Metrological Aspects of Abrasive Tool Active Surface Topography Evaluation,” Metrol. Meas. Syst., Vol.23, No.4, pp. 567-577, 2016. https://doi.org/10.1515/mms-2016-0043
- [13] W. Wang, J. Li, W. Fan, X. Song, and L. Wang, “Characteristic quantitative evaluation and stochastic modeling of surface topography for zirconia alumina abrasive belt,” Int. J. Adv. Manuf. Technol., Vol.89, pp. 3059-3069, 2017. https://doi.org/10.1007/s00170-016-9242-8
- [14] H. Oo, W. Wang, and Z. Liu, “Tool Wear Monitoring System in Belt Grinding based on Image-Processing Techniques,” Int. J. Adv. Manuf. Technol., Vol.111, pp. 2215-2229, 2020. https://doi.org/10.1007/s00170-020-06254-1
- [15] S. Hagiwara, M. Kunugi, T. Shimizu, Y. Haramiishi, T. Aramaki, and Y. A. Rahim, “Evaluation of grain distribution based on information entropy,” J. Jpn. Soc. Abras. Technol., Vol.61, No.9, pp. 501-505, 2017 (in Japanese). https://doi.org/10.11420/jsat.61.501
- [16] Y. Haramiishi, T. Simizu, M. Kunugi, Y. A. Rahim, and S. Hagiwara, “Evaluation of abrasive grain distribution of the grinding belt based on information entropy,” Proc. of 21st Int. Symp. on Advances in Abrasive Technology (ISAAT2018), Vol.119, 2018.
- [17] C. E. Shannon, “A mathematical theory communication,” Reprinted with corrections from The Bell System Technical J., Vol.27, No.7, pp. 379-423, 1948.
- [18] M. Camesasca, M. Kaufman, and I. Manas-Zloczower, “Quantifying Fluid Mixing with the Shannon Entropy,” Macromol. Theory Simul., Vol.15, Issue 8, pp. 595-607, 2006. https://doi.org/10.1002/mats.200600037
- [19] A. Yamaguchi, A. Ishimoto, S. Saegusa, M. Sugiyama, S. Amano, and Y. Utsumi, “Liquid Mixing Evaluated Using Entropy in a Lab-on-a-disc Platform,” Sensors and Materials, Vol.33, No.12, pp. 4371-4382, 2021. https://doi.org/10.18494/SAM.2021.3567
- [20] H. Ohira, Y. Haramiishi, and T. Simizu, “Improved Information Entropy Evaluation of Abrasive Grain Dispersibility in Grinding,” Proc. of 24th Int. Symp. on Advances in Abrasive Technology (ISAAT2022), pp. 34-39, 2022.
- [21] D. Bradley and G. Roth, “Adapting Thresholding Using the Integral Image,” J. Graphics Tools., Vol.12, No.2, pp. 13-21, 2007. https://doi.org/10.1080/2151237X.2007.10129236
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