Ensuring the specified position of multisupport rotating units when dressing mineral resources
A. Dzyubyk1, A. Sudakov2, L. Dzyubyk1, D. Sudakova2
1Lviv Polytechnic National University, Lviv, Ukraine
2Dnipro University of Technology, Dnipro, Ukraine
Min. miner. depos. 2019, 13(4):91-98
https://doi.org/10.33271/mining13.04.091
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ABSTRACT
Purpose. The solution of the problem for determining a specified vertical displacement of supports in a rotating unit, taking into account the yielding in the crosscut of the supporting node, as well as the peculiarities of the structural design.
Methods. When performing the work, the approaches based on the elasticity theory principles are used, taking into account the variable transverse crosscut of the unit and the different high-altitude positions of supports. To determine the general expressions describing the axis position of the studied multisupport structure, the Cauchy’ function method was used.
Findings. A system of solvable algebraic equations has been obtained that enables to perform calculations for a beam-type cylindrical structure on rigid and elastic supports. The expressions are presented for determining the value of vertical displacement of the supports, taking into account the operational characteristics of a unit, in particular the presence of the influence of neighboring supports and the value of existing loads. The cases have been studied of implementing the adjusting displacements, using the obtained equation system with the complete unloading of the supporting nodes, as well as with the use of the technical diagnostics data – the determined values of the total displacements of the supports. Expressions have been obtained for calculating the desired adjustment parameters. An algorithm is proposed for performing the computing operations.
Originality.The method of adjustment of the specified position of supports in a rotating unit has been further deve-loped, which is carried out through determining the elastic components, rigid displacements, complete displacement in the supporting node, as well as the results of technical diagnostics.
Practical implications. The calculations have been made taking into account the yielding of the supports in the range of maximum and minimum values. It is shown that the value of certain supports displacement, which should be taken into account as a result of their yielding, can reach the extremum standard values. The presence of previous displacements of the supports predetermines a significant acting forces redistribution in the rotating furnace body and is determined by their direction. The value of adjusting displacements has been determined, which should be performed to obtain a rectilinear axis of rotation. It has been revealed that it is appropriate to implement a parallel displacement of the projected axis of rotation for reducing the adjustment parameters in the supporting nodes.
Keywords: rotating units, beam-type structures, supports adjustment, elastic deformations of supports, multisupport units, axis of rotation
REFERENCES
Andreikiv, О.E., Dolins’ka, І.Y., Lysyk, А.R., & Sas, N.B. (2017). Computational model of the propagation of stress-corrosion cracks at high temperatures. Materials Science, 52(5), 714-721.
https://doi.org/10.1007/s11003-017-0014-x
Andreikiv, О.E., Skal’s’kyi, V.R., Dolins’ka, І.Y., & Dzyubyk, А.R. (2018). Influence of corrosive hydrogenating media on the residual service life of structural elements in the maneuvering mode of operation. Materials Science, 54(1), 61-68.
https://doi.org/10.1007/s11003-018-0158-3
Bilobran, B.S., & Kinash, O.B. (2002). Elastoplastic state of a pipe with nonuniform thickness of the walls under combined loading. Strength of Materials, 34(2), 187-195.
https://doi.org/10.1023/a:1015370728505
Dreus, A., Kozhevnikov, A., Lysenko, K., & Sudakov, A. (2016). Investigation of heating of the drilling bits and definition of the energy efficient drilling modes. Eastern-European Journal of Enterprise Technologies, 3(7(81)), 41-46.
https://doi.org/10.15587/1729-4061.2016.71995
Dreus, A.J., Sudakov, А.К., Коzhevnikov, А.А., & Vahalin, J.M. (2016). Study on thermal strength reduction of rock formation in the diamond core drilling process using pulse flushing mode. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (3), 5-9.
Dziubyk, L.V., Kuzo, I.V., & Prokopyshyn, I.A. (2009). Statychna rivnovaha balky zminnoi zhorstkosti na pruzhnykh oporakh z poperednim zmishchenniam. Mashynoznavstvo, 11(149), 27-30.
Dzyubyk, A.R., Nykolyshyn, T.M., & Porokhovs’kyi, Y.V. (2016). Influence of residual stresses on the limit equilibrium of a pipeline with internal crack of arbitrary configuration. Materials Science, 52(1), 89-98.
https://doi.org/10.1007/s11003-016-9930-4
Gashchuk, P.M., & Zorii, I.L. (2002). Fundamentals of simulation of the dynamics of one-dimensional elastic-rigid mechanical systems. Journal of Mathematical Sciences, 109(1), 1303-1311.
https://doi.org/10.1023/a:1013717316185
Hashchuk, P., & Zorii, L. (1999). Liniini modeli dyskretno-neperervnykh mekhanichnykh system. Lviv, Ukraina: Ukrainski tekhnolohii.
Jaroszewicz, J., & Zorij, L. (1999). Effect of nonhomogenous material properties on transverse vibrations of elastic cantilevers. International Applied Mechanics, 35(6), 633-640.
https://doi.org/10.1007/bf02682189
Khomenko, O.Y., Kononenko, M.M., Myronova, I.G., & Sudakov, A.K. (2018). Increasing ecological safety during underground mining of iron-ore deposits. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, (2), 29-38.
https://doi.org/10.29202/nvngu/2018-2/3
Kononenko, M., Khomenko, O., Sudakov, A., Drobot, S., & Lkhagva, T. (2016). Numerical modelling of massif zonal structuring around underground working. Mining of Mineral Deposits, 10(3), 101-106.
https://doi.org/10.15407/mining10.03.101
Kovalev, A.M., Martynyuk, A.A., Boichuk, O.A., Mazko, A.G., Petryshyn, R.I., Slyusarchuk, V.Y., & Slyn'ko, V.I. (2009). Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems. Nonlinear Dynamics and Systems Theory, 9(2), 117-145.
Kuzo, I., Dziubyk, L., & Yefremov, I. (2009) Rozrakhunok pruzhnykh deformatsii opor ta tochnist diahnostuvannia obertovykh pechei. Haluzeve Mashynoznavstvo, Budivnytstvo, 3(25), 135-138. p>Kuzo, I.V., & Dziubyk, L.V. (2007). Vplyv polozhennia heometrychnoi osi na mitsnist obertovykh ahrehativ. Visnyk NU “Lvivska Politekhnika”. Dynamika, Mitsnist ta Proektuvannia Mashyn i Pryladiv, (588), 53-57.
Kuzo, I.V., & Dziubyk, L.V. (2008). Doslidzhennia pruzhnykh deformatsii opornykh vuzliv ta yikh vplyv na sylovi kharakterystyky obertovykh pechei. Visnyk NU “Lvivska Politekhnika”. (613), 106-110.
Kuzo, I.V., & Dziubyk, L.V. (2009). Vrakhuvannia pruzhnykh deformatsii opor obertovykh pechei pid chas montazhno-nalahodzhuvalnykh robit. Visnyk NU “Lvivska Politekhnika”. Dynamika, Mitsnist ta Proektuvannia Mashyn i Pryladiv, (641), 39-43.
Kuzo, I.V., Mykolskiy, Yu.N., & Shevchenko, T.G. (1982). Sovremennye metody kontrolya oborudovaniya. Lvov, Ukraina: Vyshcha shkola.
Maksymovych, O.V., Lavrenchuk, S.V., & Solyar, T.Y. (2019). Contact problem for an anisotropic half plane with cracks. Journal of Mathematical Sciences, 240(2), 173-183.
https://doi.org/10.1007/s10958-019-04345-3
Polivanov, A.A., Belov, A.V., & Morozova, E.V. (2017). Eva-luation of stress-strain state of engineering structures subject to damage in materials under creep-based simulation. Procedia Engineering, (206), 1464-1469.
https://doi.org/10.1016/j.proeng.2017.10.662
Timoshenko, S., & Woinowsky-Krieger, S. (1959). Theory of plates and shells. New York, United States: McGraw-Hill.
Trach, V.M. (2007). Stability of conical shells made of composites with one plane of elastic symmetry. International Applied Mechanics, 43(6), 662-669.
https://doi.org/10.1007/s10778-007-0065-z
Westergaard, H.M. (2014). Theory of elasticity and plasticity. Cambridge, United States: Harvard University Press.
Zoriy, L.M. (1979). O novom metode postroeniya resheniy lineynykh differentsialnykh uravneniy. Doklady AN USSR, A(5), 351-355.
