Research Papers

Mathematical Model of the Grinding Force With Account for Blunting of Abrasive Grains of the Grinding Wheel

[+] Author and Article Information
Dmitrii V. Ardashev

Associate Professor
Department of Mechanical Engineering,
South Ural State University,
Lenin Prospect, 76,
Chelyabinsk 454080, Russia
e-mail: ardashevdv@susu.ru

Aleksandr A. Dyakonov

Department of Mechanical Engineering,
South Ural State University,
Lenin Prospect, 76,
Chelyabinsk 454080, Russia
e-mail: diakonovaa@susu.ru

Manuscript received March 27, 2017; final manuscript received September 16, 2017; published online November 2, 2017. Assoc. Editor: Kai Cheng.

J. Manuf. Sci. Eng 139(12), 121005 (Nov 02, 2017) (7 pages) Paper No: MANU-17-1170; doi: 10.1115/1.4037939 History: Received March 27, 2017; Revised September 16, 2017

The paper offers a simulation model of the grinding force with account for the current condition of the grinding wheel's working surface—the value of the abrasive grain blunting area. The model of blunting area takes into account various wear mechanisms for abrasive grains: the mechanical wear is realized on the provisions of the kinetic theory of the strength of a solid subjected to cyclic loads, and the physicochemical wear is based on the intensity of interaction between the abrasive and the treated material at grinding temperatures. The offered model of the grinding force takes into account the unsteady stochastic nature of the interaction between abrasive grains of the grinding wheel and the working surface and the intensity of workpiece material deformation resistance. The model is multifactorial and complex and can be realized by supercomputer modeling. The numerical implementation of the model was performed with application of supercomputer devices engaging parallel calculations. The performed experiments on measurement of the grinding force during circular grinding have shown a 10% convergence with the calculated values. The developed grinding force model can be used as a forecast model to determine the operational functionality of grinding wheel when used in varying technological conditions.

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Grahic Jump Location
Fig. 1

Flow pattern of forces and stresses on the grain's face and back surfaces

Grahic Jump Location
Fig. 2

Abrasive grain approximated by a truncated cone

Grahic Jump Location
Fig. 4

Comparison of the estimated () and experimental (– –) data at grinding wheel: (а) 24AF60L7V and (b) 24A F46L7V: speed of radial feed 0.5 mm/min: Δ—steel 40HN, ○—steel 45; speed of radial feed 0.3 mm/min: □—steel 40HN, ◇—steel 45

Grahic Jump Location
Fig. 3

Enlarged algorithm of the simulation stochastic model of the grinding force

Grahic Jump Location
Fig. 5

Influence of the mark of the processed material on the average value of the radial component of the cutting force (T = 6 min)



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