Franchuk V.P., Antsyferov O.V., Duganets V.I. The drive force in the vertical vibratory mill

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Parent Category: Geo-Technical Mechanics, 2016

Category: Geo-Technical Mechanics, 2016, Issue 131

 

Geoteh. meh. 2016,131, 100-107

 THE DRIVE FORCE IN THE VERTICAL VIBRATORY MILL

¹Franchuk V.P., ¹Antsyferov O.V., ¹Duganets V.I.

¹SHEI «NMU»

UDC 622.74: 621.928.235

Abstract. In this paper, the vertical vibratory mills are considered, in which weight of the grinding chamber is comparable with the weight of technological load, i.e. of grinding bodies. In such mills, the shock loads are transmitted to the positive eccentric drive when balls interact with the bottom and lid of the grinding chamber. Such quasi shock load fully falls on the vibration exciter rods and shafts. The technological load is reduced to the system with discrete parameters with reduced mass and stiffness. Inelastic resistances are taken into account in terms of using a concept of complex modulus. It is assumed that a reduced characteristic of elastic restoring force of the technological load is piecewise-linear one with a symmetric nonlinearity. The differential equations of the “camera – technological load” system motion are recorded. As nonlinearity is assumed low, a harmonic law of oscillations is applied. Basing on the calculation results and using method of parameters averaging, the loads on the drive shaft caused by one grinding chamber are specified by the piecewise-linear characteristic of the technological load action. An equation is formulated for determining the loads on the drive shaft, which is used for building a waveform of the force per one period. The waveform has a strongly nonlinear character with sharp peaks and dips, which adversely affects the shaft operation. This fact should be taken into account while designing the shafts. It is proposed to reduce the stress concentrator impact by constructive measures.
Keywords: vibratory mill, vertical oscillation, ball download, shock, force on the shaft, calculation.

REFERENCES

1. Franchuk, V.P., Antsiferov, A.V. and Svetkina, A.Yu. (2001), “The application of vibro-impact loading for technical ceramics with the desired properties”, Vestnik Kharkovskogo tehnicheskogo universiteta «KhPI», no 18, pp. 100-105.
2. Franchuk, V.P. (2011), “The principles of bringing the processing load to the system with discrete parameters”, Vibratsii v tehnike i tehnologiyakh, no. 4 (64), pp. 5-11.
3. Franchuk, V.P. (2014), “The use of generalized functions in solving problems of dynamics of nonlinear systems vibration of technological machines”, Vibratsionnyie tehnologii, mekhatronika i upravlyaemye mashini, [Vibration technology, mechatronics and managed machines], Vibratsiya – 2014, [Vibration – 2014], Kursk, Russia, part 2, pp. 357-364.
4. Franchuk, V.P. and Аntsiferov, A.V. (2000), “The use of Volterra principle and complex modulus of elasticity considering non-elastic resistances in oscillating systems with considerable asymmetric nonlinearity”, Naukoviy visnik NGAU, no. 2, pp. 30-32.

About the authors:

Franchuk Vsevolod Petrovich, Doctor of Technical Sciences (D.Sc), Professor, Professor in Department of Mining mmachines and Engineering, The State Higher Educational Institutional «National mining university» (SHEI «NMU»), Dnepr, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it.

Antsyferov Alexandr Vladimirovich, Candidate of Technical Sciences (Ph.D), Associate Professor, Associate Professor in Department of Mining Machines and Engineering, The State Higher Educational Institutional «National mining university» (SHEI «NMU»), Dnepr, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Duganets Viktoriya Ivanovna, student in Department of Mining Machines and Engineering, The State Higher Educational Institutional «National mining university» (SHEI «NMU»), Dnepr, Ukraine.

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