УДК 622.6 | DOI: 10.21440/0536-1028-2021-8-55-61 |
By studying this curve, it will be possible to find equivalent forces and, based on the comparative estimation, develop design recommendations for choosing the graph’s efficient shape. Trapezoidal and parabola graphs are most common. This research determines the equivalent force at a trapezoidal velocity graph.
Methods of research. The analytic calculation takes into account that the trapezoidal graph allows many velocities and accelerations not only at different, but also at constant values of the rise and travel time, whereas the parabola velocity graph does not. It greatly widens the possibilities for efficient dynamic modes selection. The non-isosceles property of a trapezoidal widens the possibilities still greater. The indicated properties of the trapezoidal graph were taken into account when deriving the estimated dependencies.
Research result. The kinematics of the mine winder vessel with a trapezoidal velocity graph is analyzed. Formulas have been obtained that allow to determine the root-mean-square and equivalent effort, suited for feasibility estimation a trapezoidal graph, without preliminary calculation a n d graphs of velocity, acceleration and force.
Conclusions. The trapezoidal velocity graph provides the possibility of a large choice of energetically expedient dynamic modes, since these modes depend not only on the frequency of operations, but also on graph’s degree of incompleteness and asymmetry coefficient. The kinematic and force dependencies obtained analytically make it possible to make a reasonable choice of the velocity graph when designing a mine winder.
Keywords: mine winder; equivalent force; root mean square force; hoisting speed; velocity graph; trapezoidal graph; velocity graph asymmetry.
REFERENCES
1. Bratchenko B. F. (ed.) Stationary plants in shafts. Moscow: Nedra Publishing; 1977. (In Russ.)
2. Fedorov M. M. Installation and setup of stationary plants in shafts. Moscow: Nedra Publishing;
1974. (In Russ.)
3. Kempson W. J. Designing energy-efficient mineshaft systems. Essays Innovate. 2014; 9: 76–79.
4. Johansson B., Steinarson A. A new method for automatic reduction of catenary oscillations in
drum hoist installations. HOIST & HAUL 2015. 2015. P. 125–139.
5. Townsend B. Control of catenary rope oscillation on a Blair multi-rope winder by unbalancing the
load sharing between the hoist ropes. HOIST & HAUL 2015. 2015. P. 43–52.
6. Kratz T., Martens P. N. Optimization of mucking and hoisting operation in conventional shaft
sinking. Glückauf. 2015; 2: 16–22.
7. Kopytov A. I., Pershin V. V., Veti A. A. Research on free fall skip parameters variation impact on
pentice stability when sinking vertical shafts. Izvestiya vysshikh uchebnykh zavedenii. Gornyi zhurnal =
News of the Higher Institutions. Mining Journal. 2019; 8: 133–142. Available from: doi: 10.21440/0536-
1028-2019-8-133-142
8. Ostrovlianchik V. Iu., Popolzin I. Iu. Equivalent structure of a double-fed asynchronous motor with
a change in frequency of additional voltage for electric systems of mine winders. In: High technology in
mineral resources development and utilization. 2019; 5: 302–307. (In Russ.)
9. Ostrovlianchik V. Iu., Popolzin I. Iu. Equivalent structure of a double-fed induction motor with a
change in frequency of additional voltage for electric systems of mine winders. IOP Conference Series:
Earth and Environmental Science. 2019; 377(012041): 9 p.
10. Dvinina L. B., Dvinin L. A., Liaptsev S. A. Type plots of similarity when calculating and
analyzing transient modes of mine winders. In: Technological Equipment for Mining and Oil and Gas
Industry: Proceedings of the 4th Internat. Scient. and tech. Conf, 15–17 May 2006. Ekaterinburg: UrSMU
Publishing; 2006. p. 160–163. (In Russ)
11. Timukhin S. A., Plotnikov A. M., Dmitriev D. S. On the question of substantiating the movement
speeds of conveyances of hoisting complexes. Izvestiia Uralskogo gosudarstvennogo gornogo universiteta =
News of the Ural State Mining University. 2016; 4(44): 60–62. (In Russ.)
12. Katolikov V. E., Dinkel A. D. Dynamic modes of mine hoist. Moscow: Nedra Publishing; 1995.
(In Russ.)
13. Elanchik G. M. Choosing the optimal parameters for the designed mine winders with the direct
current motors. Moscow: MSI Publishing; 1971. (In Russ.)
14. Vorobel S. V., Trifanov G. D. Research of the influence of velocity diagram parameters on the
dynamic loads and skip frame deformation in the dynamical system “shaft skip-shaft furniture”. Gornoe
oborudovanie i elektromekhanika = Mining Equipment and Electromechanics. 2011; 12: 16–19. (In Russ.)
15. Dvinina L. B., Dvinin L. A., Liaptsev S. A. Choosing the dynamic mode for mine winders according
to the hoist speed. In: Mathematical Modelling of Mechanical Events: Proceedings of the Scient. and Tech.
Conf., 10–11 April 2008. Ekaterinburg: UrSMU Publishing; 2008. p. 268–274. (In Russ.)
16. Kirpichev M. V. Similarity theory. Moscow: AS USSR Publishing; 1953. (In Russ.)
17. Sedov L. I. Methods of similarity and dimensions in mechanics. Moscow: Nauka Publishing; 1981.
(In Russ.)
18. Dvinina L. B., Dvinin L. A., Liaptsev S. A. The criteria of similarity for the dynamic modes of a
mine winder. In: Unconventional Technologies and Equipment to Develop the Deposits with a Complex
Structure: Proceedings of the 2nd Internat. Scient. and Tech. Conf., 15–17 February 2005. Ekaterinburg:
UrSMU Publishing; 2005. p. 83–87. (In Russ.)