Teoretičeskaâ I Prikladnaâ Nauka Theoretical & Applied Science
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Teoretičeskaâ i prikladnaâ nauka Theoretical & Applied Science 07 (63) 2018 International Scientific Journal Theoretical & Applied Science Founder : International Academy of Theoretical & Applied Sciences Published since 2013 year. Issued Monthly. International scientific journal «Theoretical & Applied Science», registered in France, and indexed more than 45 international scientific bases. 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Philadelphia, USA Impact Factor ICV = 6.630 Impact Factor ISI = 0.829 based on International Citation Report (ICR) The percentage of rejected articles: ISSN 2308-4944 0 7 9 772308 494188 ISRA (India) = 1.344 SIS (USA) = 0.912 ICV (Poland) = 6.630 ISI (Dubai, UAE) = 0.829 РИНЦ (Russia) = 0.156 PIF (India) = 1.940 Impact Factor: GIF (Australia) = 0.564 ESJI (KZ) = 4.102 IBI (India) = 4.260 JIF = 1.500 SJIF (Morocco) = 2.031 SOI: 1.1/TAS DOI: 10.15863/TAS Vladimir Bogutsky Associate Professor, Ph.D., International Scientific Journal Sevastopol State University, Theoretical & Applied Science Russian Federation [email protected] p-ISSN: 2308-4944 (print) e-ISSN: 2409-0085 (online) Year: 2018 Issue: 07 Volume: 63 Published: 17.07.2018 http://T-Science.org SECTION 7. Mechanics and machine construction. INFLUENCE OF CHANGE OF GEOMETRIC CHARACTERISTICS OF ABRASIVE GRAIN IN THE PROCESS OF GRINDING ON THE SURFACE ROUGHNESS PARAMETERS Abstract: In the article, based on the analysis of literature sources, the effect of changing the geometric characteristics of abrasive grains during circular grinding on the roughness parameters of the treated surface was evaluated. The proposed dependencies take into account the parameters of processing modes, the size of the abrasive grain and the radius of its rounding, their change during operation, as well as the change in the state of the working surface of the tool, taking into account the processing time. The obtained dependences make it possible to predict the kinetics of changes in the surface roughness in multi-pass grinding. Key words: abrasive grain, cylindrical grinding, machining surface, roughness calculation. Language: English Citation: Bogutsky V (2018) INFLUENCE OF CHANGE OF GEOMETRIC CHARACTERISTICS OF ABRASIVE GRAIN IN THE PROCESS OF GRINDING ON THE SURFACE ROUGHNESS PARAMETERS. ISJ Theoretical & Applied Science, 07 (63): 101-108. Soi: http://s-o-i.org/1.1/TAS-07-63-13 Doi: https://dx.doi.org/10.15863/TAS.2018.07.63.13 its coefficients are determined on the basis of Introduction experimental studies of grinding process. The main parameters of quality of the processed Principles of forecasting the most important surface is its roughness and depth of the defective parameters of a surface roughness depending on layer. Usually the determination of roughness technological factors are considered in papers [1, 2). parameters is added up to tabulation of the In [2], where the calculation of roughness parameters profilogram and further calculations in the tables, for is made on the basis of functional obtained in the example, with the help of computer. theoretical analysis of the processes of fanning The processes of grinding have a complex surfaces, known relations are considerably refined stochastic nature, which leads to disorder of taking into account influence of the processes indicators of quality of products and does not allow occurring in a dynamical system. to use all possibilities of finishing methods. The developed approach is presented first of all Microrelief of grinded surface in the workpiece applied to a one-dimensional evaluation of average material is a combination of mappings of the roughness (arithmetic mean deviation of the profile) transient surfaces which are formed by the movement R which is the main in the nomenclature of of cutting edges in the space of the workpiece. Forms a amplitude roughness parameters in standards of the of unit scratches are dete1mined by the forms of International Organization for Standardization (ISO cutting edges and the peculiarities of their contact 4287:1997, the Russian Federal Agency on Technical with the material surface. Regulating and Metrology (GOST R 25142-82), the Analytical relations for definition of the most American Society of the Mechanical Engineers important parameters of a surface roughness, under (ANSI/ASME B46. l-l995), in Ukraine it is also the condition that the describing the ordinate random DSSU ISO 4287 :2012),and other leading national process is stationary and normal, are obtained in and international subjects of development a works of Yu. Vitenberg, A. Husu, Yu. Linnik and a supranational technological structure for economic number of other researchers. Roughness parameters progress of modem civilization. Objects of attention were calculated using the correlation functions. The of the fulfilled elaboration are also widely used in the form of the function was considered well-known, and international and national practice such one Philadelphia, USA 101 ISRA (India) = 1.344 SIS (USA) = 0.912 ICV (Poland) = 6.630 ISI (Dubai, UAE) = 0.829 РИНЦ (Russia) = 0.156 PIF (India) = 1.940 Impact Factor: GIF (Australia) = 0.564 ESJI (KZ) = 4.102 IBI (India) = 4.260 JIF = 1.500 SJIF (Morocco) = 2.031 dimensional roughness amplitude estimates as profile etc.) its consideration is the main in the work maximum peak-to-valley height Rmax and profile performed. peak-to-valley deviation by ten points Rz. In Basic relations for Ra calculation. accordance with a ce1tain preference of R parameter a Arithmetic mean deviation of the profile R is to use for roughness estimate (GOST R 2789-73, a calculated [2] as [2, 16, 17]: 2V H 3/ 2 R u u a n 2 3/ 2 Kс (Vk Vи )ng Deg (Wm ir) r W i0 at m ; (1) 0,4 0,6 0,25Vu t R f a 0,4 0,4 0,4 0,2 0,2 K (V V ) n D r W с к и g e g at m . (2) where Wm ‒ is the distance from the deepest profile The structure of equations (1) and (2) and the point to the middle line of the profile which is value of indicator of the degree are similar to exponential function existing in the literature, but y 0 calculated from the condition of the m , unlike them, they reflect the physical nature of the n process of forming and correspond to the Gk (Wm ir) ln 2 0 dimensional theory. P(M ) 0,5 i0 At the , . Basic relations for Rmax and Rz calculation. r W value of radial metal removal m Profile maximum peak-to-valley height Rmax 1 and profile peak-to-valley deviation by ten points Rz ln 2 are calculated on the depth of the layer in which the Wm Gk surface roughness is distributed (Rmax) and , where mathematical expectations of the distances from the Dе (m 1)()KcCb (Vк Vu )ng upper boundary of layer up to five highest points of Gk the profile and the distances from the lower boundary (m 3/ 2)V H u u (3) of layer up to the five lowest points of the profile 1,5 With private values m 0,5, the (Rz). For a stationary process, which is close to relation of the (3) takes the form: normal, we can be considered that the distances from the upper boundary of roughness layer to the most 0,598 g Dе Kc (Vк Vu )ng G protruding tops of the profile are distributed k 1,5 according to the laws sin1ilar to the distribution of Vu Hu (4) the distances from the hollows to the lower boundary 2 t f of roughness layer. In this case the mathematical r ; (5) expectation values of R and R parameters are 13,66Vu max z 1,478t f defined (2) as Kc (Vk Vu )ng Dеg 3/ 2 2Vut f t f 0,739r M[Rmax ] H 2 3ng (Vk Vu )L De 13,66V r (6) ; (7) 0,546r2 u ; 3/ 2 Kc (Vk Vu )ng Deg Vut f M[Rz ] H 2,95 where in the formulas of the (1)-(6): Kc ‒ coefficient ng (Vk Vu )L De of chip formation (it shows that not the whole . (8) material is removed from the scratch, and part of it is where H t f r ‒ value layer of surface displaced and forms the overstating along the scratch roughness (the size of the transition area between the edges); ng ‒ the number of grain vertices on the unit material and the environment).