نوع مقاله: علمی - پژوهشی

نویسندگان

1 دانشگاه صنعتی شاهرود

2 دانشگاه صنعتی شریف

چکیده

تخمین قابلیت برش سنگ و تعیین پارامترهای مؤثر در آن در تخمین هزینه‏ها و طراحی کارخانجات سنگ‏بری نقش مهمی دارد. شناخت کامل سنگ‏ها و ارزیابی توانایی اجرایی دستگاه‏های برش، طراحان و برنامه‌ریزان تولید را به سمت بهبود سرعت فرآوری و افزایش تولید سوق می‏دهد. بنابراین برای دستیابی به یک طراحی و برنامه‌ریزی دقیق در کارخانجات فرآوری، پیش‌بینی قابلیت برش سنگ و تعیین پارامترهای مؤثر در آن امری مهم و ضروری است. در این مقاله ارتباط میان مشخصات سنگ و آهنگ برش با کمک تحلیل‌های آماری بررسی شده است. بدین منظور هفده نوع سنگ ساختمانی در کارخانه‌های فراوری مطالعه شد. در مرحله اول پس از برداشت و ثبت آهنگ برش هر نمونه سنگ، بلوک‌های سنگی متعلق به هر نمونه سنگ، بعد از آماده‌سازی، برای انجام مطالعات آزمایشگاهی به آزمایشگاه مکانیک سنگ ارسال شد. سپس چهار مشخصه مهم از سنگ شامل مقاومت فشاری تک محوری، سختی موس، فاکتور سایندگی شیمازک و مدول الاستیسیته در آزمایشگاه تعیین شد. در مرحله بعد مطالعات آماری بر روی داده‌های موجود انجام شد. با استفاده از مطالعات آماری، روند تغییرات آهنگ برش با مشخصات سنگ بررسی شد و پنج رابطه برای پیش بینی آهنگ برش با کمک نرم افزار آماری SPSS ارائه شد. ضرایب هر یک از متغیرها در رابطه با توجه به آزمون‌های آماری و منطق علمی حاکم بر فرایند برش ارزیابی و در نهایت از میان رابطه‌ها بهترین رابطه برای پیش بینی آهنگ برش انتخاب شد. با استفاده از رابطه پیشنهادی می‌توان قابلیت برش سنگ‌های ساختمانی را با دقت بالایی پیش بینی کرد.

عنوان مقاله [English]

Presentation of Statistical Models for Predicting the Ornamental Stone Sawability

نویسندگان [English]

  • R Mikaeil 1
  • M Ataei 1
  • R Yousefi 2

1 Shahrood University of Technology

2 Sharif University of Technology

چکیده [English]

Rock sawability prediction and determination of effective parameters are important in the cost estimation and the planning of the stone factories. An accurate estimation of rock sawability and performance prediction of sawing machine helps to make the planning of the rock sawing projects more efficient. It is necessary to predict the rock sawability and determine the effective parameters to achieve an accurate planning in stone factories. In this paper, the relationships between rock characteristics and production rate were investigated by statistical analysis. For this purpose, 17 different ornamental stones (10 granite rocks and 7 carbonate rocks) in stone factories were studied. In the first step, the rock samples were collected for laboratory tests after proper preparation. Then four major characteristics of rock; Uniaxial compressive strength, Schmiazek F-abrasivity factor, Mohs Hardness and Young’s Modulus were determined in the laboratory. In the next step, statistical analyses (such as simple regression and multiple regression methods) were performed on the collected date. Since the sawability of ornamental stones is affected by many factors, it can not be analyzed by using only simple regression models. Therefore, the analyses were carried out by using multiple regression methods. Multiple regression methods can be divided into two types as linear and nonlinear. In this study, the twin-logarithmic model, which is one of the nonlinear methods, was used. Variation of production rate was evaluated using the SPSS software, and five equations were developed for prediction of the production rate. Validation of the models was carried out by considering the determination coefficient, t-test, F-test and the plots of observed production versus estimated production (the determination coefficient of all models was higher than 0.96). Finally, the best model was proposed for predicting the production rate. The best model obtained by multiple regression analysis showed that the most significant parameters affecting the sawability of ornamental stones are uniaxial compressive strength, Schmiazek F-abrasivity factor and Young’s Modulus. It was concluded that the production rate of ornamental stones can be reliably estimated using the developed model.  

کلیدواژه‌ها [English]

  • Production rate
  • Ornamental Stone
  • Statistical models
  • SPSS software

 

[1]  Norling R.G; 1971, "Mechanical properties and the composition of some Swedish natural stone types and their effect on cutting results". In: Presentation at the Conference on Diamond in the Construction and Stone Industry.

[2]  Buttner A. 1974, "Diamond tools and stone". Industrial Diamond Review. Vol. 34, pp 89-93.

[3]  Burgess RB. 1978, "Circular sawing granite with diamond saw blades". In: Proceedings of the Fifth Industrial Diamond Seminar, pp. 3–10.

[4]  Tonshoff H.K, Warnecke G, 1982, "Research on stone sawing". P. Daniel (Ed), Advance in Ultrahard Mareials Application Technology, Vol 1, Harnbeam, England, pp: 36-49.

[5]  Vaya and Vikram; 1983, "Mineralogical parameters in granite sawing", technical paper, University of Jodhpur, pp: 7-79.

[6]  Wright D.N, Cassapi V.B, 1985, "Factors influencing stone sawability", Industrial Diamond Review, 2, pp: 84-87.

[7]  Ertingshausen W, 1985, "Wear processes in sawing hard stone", Industrial Diamond Review. 5, pp: 254–258.

[8]  Wright D.N, Walper H, 1986, "Investigation and prediction of diamond wear when sawing", annals CIRP, 35 (1), pp: 239-244.

[9]  Birle J.D, Ratterman E. 1986, "An approximate ranking of the sawability of hard building stones based on laboratory tests". Dimensional Stone Magazine, pp 3-29.

[10]  Jennings M, Wright D.N. 1989, "Guidelines for sawing stone". Industrial Diamond Review, 2, pp: 70–75.

[11]  Hausberger P. 1989, "Causes of the different behaviour of rocks when machined with diamond tools". Industrial Diamond Review, Vol, 3, pp: 1–25.

[12]  Hausberger P. 1990, "Stone Machinability". Industrial Diamond Review, Vol. 3, pp: 1–25.

[13]  Konstanty J, 1991, "The Materials Science of Stone Sawing", Industrial Diamond Review. 1, pp: 27–31

[14]  Unver B.; 1996, "A statistical method for practical assessment of sawability of rocks". In: Barla M, editor. Eurock’96. Rotterdam: Balkema;. pp: 59–65.

[15]  Clausen R, Wang CY, Meding M. 1996, "Characteristics of acoustic emission during single diamond scratching of granite". Industrial Diamond Review, 3, pp: 96–9.

[16]  Ceylanoglu A, Gorgulu K. 1997, "The performance measurement results of stone cutting machines and their relations with some material properties". Proceedings of the Sixth International Symposium on Mine Planning and Equipment Selection. Rotterdam, Balkema, pp: 393–8.

[17]  Bianchi E.C, Silva E.J, Silva C. E, Souza G. F, C.A. Fortulan, O.C. Fernandes, Valarelli I. D, Aguiar P.R. 1998, "The behaviour of resinbond diamond wheels in the grinding of advanced ceramics". Industrial Diamond Review, Vol. 4, pp: 68-73.

[18]  Xu X, 1999, "Friction studies on the process in circular sawing of granites", Tribology Letters 7, pp: 221–227.

[19]  Xu X, Li Y, Malkin S. 2001, "Forces and energy in circular sawing and grinding of granite". Journal of Manufacturing Science and Engineering, 123, pp:13–22.

[20]  Brook B. 2002, "Principles of diamond tool technology for sawing rock". International Journal of Rock Mechanics & Mining Sciences. Vol. 39, pp: 41–58.

[21]  Tonshoff H.K, Hillmann-Apmann H, Asche J, 2002, "Diamond tools in stone and civil engineering industry: cutting principles, wear and applications", Diamond and Related Materials 11, pp: 736–741.

[22]  Konstanty J, 2002, "Theoretical analysis of stone sawing with diamonds", Journal of materials processing technology, 123, pp: 146-154.

[23]  Sun L.a, Pan J.b, Lin C. 2002, "A new approach to improve the performance of diamond sawblades", Materials Letters, 57, pp: 1010–1014.

[24]  Eyuboglu A.S, Ozcelik Y, Kulaksiz S, Engin I.C, 2003, "Statistical and microscopic investigation of disc segment wear related to sawing Ankara andesites", International Journal of Rock Mechanics & Mining Sciences, Vol. 40, pp: 405–414.

[25]  Wei X, Wang C.Y, Zhou Z.H.; 2003, "Study on the fuzzy ranking of granite sawability". Journal of Materials Processing Technology, 139, pp: 277–280.

[26]  Xu X, Li Y, Yu Y, 2003, "Force ratio in the circular sawing of granites with a diamond segmented blade", Journal of Materials Processing Technology, 139 () 281–285.

[27]  Engels A, 2003, "The role of Particles Per Carat in diamond tool behavior", Industrial Diamond Review 2, pp: 39-45.

[28]  Ersoy A, Atici U, 2004, "Performance characteristics of circular diamond saws in cutting different types of rocks". Diamond and Related Materials 13, pp: 22–37.

[29]  Gunaydin O, Kahraman S, Fener M. 2004, "Sawability prediction of carbonate rocks from brittleness indexes". The Journal of the Southern African Institute of Mining and Metallurgy, 104, pp: 239–244.

[30]  Buyuksagis I.S, Goktan R.M. 2005, "Investigation of marble machining performance using an instrumented block-cutter". Journal of Materials Processing Technology, 169, pp: 258–262.

[31]  Delgado N.S, Rodriguez R, Rio A, Sarria I.D, Calleja L, Argandona V.G.R. 2005, "The influence of microhardness on the sawability of Pink Porrino granite (Spain)". International Journal of Rock Mechanics & Mining Sciences, Vol. 42, pp: 161–6.

[32]  Ersoy A, Buyuksagis S, Atici U, 2005, "Wear characteristics of circular diamond saws in the cutting of different hard and abrasive rocks", Wear 258, pp: 1422–1436.

[33]  Ayhan M. 2005, "Cost model and sensitivity analysis of cutting and processing stage at a marble plant". Industrial Diamond Review, Vol. 3, pp: 49-54.

[34]  Kahraman S, Altun H, Tezekici B.S., Fener M. 2005, "Sawability prediction of carbonate rocks from shear strength parameters using artificial neural networks". International Journal of Rock Mechanics & Mining Sciences, Vol. 43, No. 1, pp: 157–164.

[35]  Kahraman S, Ulker U, Delibalta S. 2007, "A quality classification of building stones from P-wave velocity and its application to stone cutting with gang saws". The Journal of the Southern African Institute of Mining and Metallurgy, Vol. 107, pp: 427–430.

[36]  Tutmez B, Kahraman S, Gunaydin O.; 2007, "Multifactorial fuzzy approach to the sawability classification of building stones". Construction and Building Materials, 21, pp: 1672–1679.

[37]  Özçelik Y. 2007, "The effect of marble textural characteristics on the sawing efficiency of diamond segmented frame saws". Industrial Diamond Review, 2, pp: 65-70.

[38]  Buyuksagis I.S. 2007, "Effect of cutting mode on the sawability of granites using segmented circular diamond sawblade". Journal of Materials Processing Technology, 183, pp: 399–406.

[39]  Kahraman S, Fener M, Gunaydin O. 2004, "Predicting the sawability of carbonate rocks using multiple curvilinear regression analysis". International Journal of Rock Mechanics & Mining Sciences, 41, pp: 1123–1131.

[40]  Polini,W.,Turchetta,S., 2007, "Monitoring of diamond disk wear in stone cutting by means of force or acceleration sensors", Int. j.Adv Manuf Technol, 35, pp:454-467.

[41]  Fener M, Kahraman S, & Ozder M.O; 2007, "Performance Prediction of Circular Diamond Saws from Mechanical Rock Properties in Cutting Carbonate Rocks". Rock Mech. Rock Engng. Vol. 40, No. 5, pp:505–517

[42]  R. Mikaeil , M. Ataei, S.H. Hoseinie, 2008, "Predicting the production rate of diamond wire saws in carbonate rocks cutting", Industrial Diamond Review (IDR). Vol. 3, pp: 28-34.

[43]  R. Mikaiel, S. H .Hoseinie, M. Ataei, 2008, "Abrasivity and sawability prediction of Khalkhal and Azarshahr Travertine", 8th International Scientific Conference on Modern Management of Mine Producing and Environmental Protection (SGEM), Albena Complex, Bulgaria.

[44]  Atici U, Ersoy A. 2009, "Correlation of specific energy of cutting saws and drilling bits with rock brittleness and destruction energy." journal of materials processing technology, 209, pp: 2602–2612.

[45]  R. Yousefi, R. Mikaeil, M. Ataei, 2010, "Study of Factors Affecting on the Sawability of the Ornamental Stone". Proceedings of the 8th International Scientific Conference SGEM. Bulgaria.