Abstract
The spectral composition of the rotor’s vibration characteristic under its contact conditions with the stator was investigated in the article. Based on the clipped sinewave model, it was determined that the signal spectrum contains odd components in addition to the main harmonic. Analytical dependences of amplitudes for spectral composition’s components of a signal on the dimensionless radial gap between a rotor and a stator were established. As a result, the main and third harmonics have the highest amplitudes. An analytical dependence determining the dimensionless radial gap by the ratio of the spectral components’ amplitudes was obtained. Moreover, theoretically substantiated that the representation of the response for the system “rotor-stator” as a superposition of only the main and third harmonics allows modeling the system’s response caused by the influence of contact interaction. This approximation has a maximum relative error of 5% for the dimensionless radial gap in a range of 0.56–1.0.
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References
Li, Y., et al.: Numerical and experimental investigation on thermohydrodynamic performance of turbocharger rotor-bearing system. Appl. Therm. Eng. 121, 27–38 (2017). https://doi.org/10.1016/j.applthermaleng.2017.04.041
Heshmat, H., Walton, J. F., II.: On the integration of hot foil bearings into gas turbine engines: theoretical treatment. In: Proceedings of the ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. Volume 7B: Structures and Dynamics. Phoenix, Arizona, USA, V07BT34A036 (2019). https://doi.org/10.1115/GT2019-91710
Nyssen, F., Batailly, A.: Sensitivity analysis of rotor/stator interactions accounting for wear and thermal effects within low-and high-pressure compressor stages. Coatings 10(1), 74 (2020). https://doi.org/10.3390/coatings10010074
Wu, K., Xing, Y., Chu, N., Wu, P., Cao, L., Wu, D.: A carrier wave extraction method for cavitation characterization based on time synchronous average and time-frequency analysis. J. Sound Vibration 489, 115682 (2020). https://doi.org/10.1016/j.jsv.2020.115682
Jayaswal, P., Wadhwani, A.K., Mulchandani, K.B.: Machine fault signature analysis. International J. Rotating Mach. 2008, 583982 (2008). https://doi.org/10.1155/2008/583982
Gadyaka, V., Leikykh, D., Simonovskiy, V.: Phenomena of stability loss of rotor rotation at tilting pad bearings. Procedia Eng. 39, 244–253 (2012). https://doi.org/10.1016/j.proeng.2012.07.031
Bykov, V.G., Tovstik, P.E.: Synchronous whirling and self-oscillations of a statically unbalanced rotor in limited excitation. Mech. Solids 53, 60–70 (2018). https://doi.org/10.3103/S0025654418050047
Rusov, V.A.: Diagnostics of Defects in Rotating Equipment by Vibration Signals. Perm, Vibrocenter (2012)
Butymova, L.N., Modorskii, V.Y.: Development and application of a unified algorithm for solving the interdisciplinary problem of modeling aeroelastic processes in the labyrinth seal of centrifugal compressors. Paper presented at the AIP Conference Proceedings, 1893, 030067 (2017). https://doi.org/10.1063/1.5007525
Gritsenko, V.G., Lazarenko, A.D., Lyubchenko, K.Y., Martsinkovskii, V.S., Tarel’nik, V.B.: Increasing the Life of the slider bearings of the Turbines of high-speed compressors. Chem. Pet. Eng. 55(9–10), 821–828 (2020). https://doi.org/10.1007/s10556-020-00699-7
Kondratiuk, E., Torba, Y., Grebennikov, M., Yemelianova, L., Khavkina, O.: The control of GTE brush seal flow characteristics. In: Tonkonogyi, V., et al. (eds.) InterPartner 2019. LNME, pp. 510–519. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-40724-7_52
Mammadov, V., Tacon, K., Davies, B., Ahmedov, N.S.: Coatings help to improve centrifugal pump reliability. In: Fluid Machinery Congress, pp. 67–77 (2014), https://doi.org/10.1016/B978-0-0810-0109-7.50007-8
Davydov, S.Y., Kosarev, N.P., Valiev, N.G., Simisinov, D.I., Kozhushko, G.G., Panov, D.A.: Problems with the use of pneumatic screw pumps to transport bulk cargo. Refract. Ind. Ceram 54(2), 100–105 (2013). https://doi.org/10.1007/s11148-013-9557-z
Niu, G., Duan, F., Liu, Z., Jiang, J., Fu, X.: A high-accuracy non-contact online measurement method of the rotor-stator axial gap based on the microwave heterodyne structure. Mech. Syst. Signal Process. 150, 107320 (2021). https://doi.org/10.1016/j.ymssp.2020.107320
Gavrilin, A.N., Moyzes, B.B.: Diagnostics of Technological Systems: Part 2. Tomsk Polytechnic Institute (2014)
Vedreño-Santos, F., Riera-Guasp, M., Henao, H., Pineda-Sánchez, M., Puche-Panadero, R.: Diagnosis of rotor and stator asymmetries in wound-rotor induction machines under nonstationary operation through the instantaneous frequency. IEEE Trans. Industrial Electron. 61(9), 4947–4959 (2014). https://doi.org/10.1109/TIE.2013.2288192.
Zaccardo, V.M., Buckner, G.D.: Active magnetic dampers for controlling lateral rotor vibration in high-speed rotating shafts. Mech. Syst. Signal Process. 152, 107445 (2021). https://doi.org/10.1016/j.ymssp.2020.107445
Yadav, A.K., Prajapati, Y.K.: PAPR minimization of clipped OFDM signals using tangent rooting companding technique. Wireless Pers. Commun. 105(4), 1435–1447 (2019). https://doi.org/10.1007/s11277-019-06151-1
Esqueda, F., Bilbao, S., Välimäki, V.: Aliasing reduction in clipped signals. IEEE Trans. Signal Process. 64(20), 5255–5267 (2016). https://doi.org/10.1109/TSP.2016.2585091
Liu, T., Jin, S., Wen, C.-K., You, X.: OFDM-clipped signal recovery and learning using gaussian mixture GTurbo approach. IEEE Wirel. Commun. Lett. 8(6), 1533–1536 (2019). https://doi.org/10.1109/LWC.2019.2926260
Altaf, S., Mehmood, M.S., Soomro, M.W.: Advancement of fault diagnosis and detection process in the industrial machine environment. J. Eng. Sci. 6(2), D1–D8 (2019). https://doi.org/10.21272/jes.2019.6(2).d1
Kolomvakis, N., Eriksson, T., Coldrey, M., Viberg, M.: Reconstruction of clipped signals in quantized uplink massive MIMO systems. IEEE Trans. Commun. 68(5), 2891–2905 (2020). https://doi.org/10.1109/TCOMM.2020.2971975
Dyer, S.A., Dyer, J.S.: Distortion: total harmonic distortion in an asymmetrically clipped sinewave. IEEE Instrum. Meas. Mag. 14(2), 48–51 (2011). https://doi.org/10.1109/MIM.2011.5735256
Zhou, Q., Wu, C., Fan, Q.: Gear fault diagnosis under the run-up condition using fractional fourier transform and hilbert transform. In: Tan, J. (ed.) ICMD 2019. MMS, vol. 77, pp. 918–943. Springer, Singapore (2020). https://doi.org/10.1007/978-981-32-9941-2_77
Jalayer, M., Orsenigo, C., Vercellis, C.: Fault detection and diagnosis for rotating machinery: a model based on convolutional LSTM, fast fourier and continuous wavelet transforms. Comput. Ind. 125, 103378 (2021). https://doi.org/10.1016/j.compind.2020.103378
Xu, L., Chatterton, S., Pennacchi, P., Liu, C.: A tacholess order tracking method based on inverse short time fourier transform and singular value decomposition for bearing fault diagnosis. Sensors (Switzerland) 20(23), 1–20 (2020). https://doi.org/10.3390/s20236924
Monkova, K., et al.: Condition monitoring of Kaplan turbine bearings using vibro-diagnostics. Int. J. Mech. Eng. Robot. Res. 9(8), 1182–1188 (2020). https://doi.org/10.18178/ijmerr.9.8.1182-1188
Pavlenko, I., Ivanov, V., Kuric, I., Gusak, O., Liaposhchenko, O.: Ensuring vibration reliability of turbopump units using artificial neural networks. In: Trojanowska, J., Ciszak, O., Machado, J.M., Pavlenko, I. (eds.) MANUFACTURING 2019. LNME, pp. 165–175. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-18715-6_14
Pavlenko, I., Trojanowska, J., Ivanov, V., Liaposhchenko, O.: Parameter identification of hydro-mechanical processes using artificial intelligence systems. Int. J. Mechatronics Appl. Mech. 2019(5), 19–26 (2019)
Sokolov, V., Krol, O., Romanchenko, O., Kharlamov, Y., Baturin, Y.: Mathematical model for dynamic characteristics of automatic electrohydraulic drive for technological equipment. J. Phys. Conf. Series 1553(1), 012013 (2020). https://doi.org/10.1088/1742-6596/1553/1/012013
Sokolov, V., Porkuian, O., Krol, O., Baturin, Y.: Design calculation of electrohydraulic servo drive for technological equipment. In: Ivanov, V., Trojanowska, J., Pavlenko, I., Zajac, J., Peraković, D. (eds.) DSMIE 2020. LNME, pp. 75–84. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-50794-7_8
Tarelnyk, V., Konoplianchenko, I., Gaponova, O., Sarzhanov, B.: Assessment of hydroabrasive wear resistance of construction materials with functional coatings, which are formed by resource-saving and environmentally friendly technologies. Key Eng. Mater. 864, 265–277 (2020). doi: https://doi.org/10.4028/www.scientific.net/KEM.864.265
Hovorun, T.P., et al.: Physical-mechanical properties and structural-phase state of nanostructured wear-resistant coatings based on nitrides of refractory metals Ti and Zr. Funct. Mater. 26(3), 548–555 (2019). https://doi.org/10.15407/fm26.03.548
Gaydamaka, A., et al.: Devising an engineering procedure for calculating the ductility of a roller bearing under a no-central radial load. Eastern-European J. Enterprise Technol. 3(7–99), 6–10 (2019). https://doi.org/10.15587/1729-4061.2019.168145
Rogovyi, A., Khovanskyy, S., Grechka, I., Pitel, J.: The wall erosion in a vortex chamber supercharger due to pumping abrasive mediums. In: Ivanov, V., et al. (eds.) DSMIE 2019. LNME, pp. 682–691. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-22365-6_68
Ponomarev, A., Ponomareva, O.: Development of the theory of discrete Fourier transform for solving problems of functional diagnostic of mechanical objects. In: 2020 International Conference on Dynamics and Vibroacoustics of Machines (DVM), Samara, pp. 1–7 (2020). https://doi.org/10.1109/DVM49764.2020.9243916.
Ponomareva, O., Ponomarev, A.: Determining the envelope of real finite discrete signal via parametric discrete Fourier transform. In: 2020 International Conference on Dynamics and Vibroacoustics of Machines (DVM), Samara, pp. 1–6 (2020). https://doi.org/10.1109/DVM49764.2020.9243923.
Yoon, Y., Brahma, A.: Air–fuel ratio imbalance diagnostic of spark-ignited engines with modulated sliding discrete Fourier transform. J. Dyn. Syst. Measurement Control 142(8), 081003 (2020). https://doi.org/10.1115/1.4046550
Kumar, G.K., Parimalasundar, E., Elangovan, D., Sanjeevikumar, P., Lannuzzo, F., Holm-Nielsen, J.B.: Fault investigation in cascaded H-bridge multilevel inverter through fast fourier transform and artificial neural network approach. Energies 13(6), 1299 (2020). https://doi.org/10.3390/en13061299
Liaposhchenko, O., Pavlenko, I., Monkova, K., Demianenko, М, Starynskyi, O.: Numerical simulation of aeroelastic interaction between gas-liquid flow and deformable elements in modular separation devices. In: Ivanov, V., et al. (eds.) DSMIE 2019. LNME, pp. 765–774. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-22365-6_76
Khovanskyi, S., Pavlenko, I., Pitel, J., Mizakova, J., Ochowiak, M., Grechka, I.: Solving the coupled aerodynamic and thermal problem for modeling the air distribution devices with perforated plates. Energies 12(18), 3488 (2019). https://doi.org/10.3390/en12183488
Altaf, S., Mehmood, M.S., Imran, M.: Implementation of efficient artificial neural network data fusion classification technique for induction motor fault detection. J. Eng. Sci. 5(2), E16–E21 (2018). https://doi.org/10.21272/jes.2018.5(2).e4
Kotliar, A., Gasanov, M., Basova, Y., Panamariova, O., Gubskyi, S.: Ensuring the reliability and performance criterias of crankshafts. Diagnostyka 20(1), 23–32 (2019). https://doi.org/10.29354/diag/99605
Dobrotvorskiy, S., Basova, Y., Ivanova, M., Kotliar, A., Dobrovolska, L.: Forecasting of the productivity of parts machining by high-speed milling with the method of half-overlap. Diagnostyka 19(3), 37–42 (2018). https://doi.org/10.29354/diag/93136
Pylypaka, S., Zaharova, T., Zalevska, O., Kozlov, D., Podliniaieva, O.: Determination of the effort for flexible strip pushing on the surface of a horizontal cylinder. In: Tonkonogyi, V., et al. (eds.) InterPartner 2019. LNME, pp. 582–590. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-40724-7_59
Pylypaka, S., Volina, T., Mukvich, M., Efremova, G., Kozlova, O.: Gravitational relief with spiral gutters, formed by the screw movement of the sinusoid. In: Ivanov, V., Pavlenko, I., Liaposhchenko, O., Machado, J., Edl, M. (eds.) DSMIE 2020. LNME, pp. 63–73. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-50491-5_7
Kushnirov, P., Zhyhylii, D., Ivchenko, O., Yevtukhov, A., Dynnyk, O.: Investigation of the dynamic state of adjustable milling heads. In: Ivanov, V., et al. (eds.) DSMIE 2019. LNME, pp. 169–179. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-22365-6_17
Kolesnyk, V., et al.: Experimental study of drilling temperature, geometrical errors and thermal expansion of drill on hole accuracy when drilling cfrp/ti alloy stacks. Materials 13(14), 3232 (2020). https://doi.org/10.3390/ma13143232
Liu, Y., Fu, Y., Zhuan, Y., Zhong, K., Guan, B.: High dynamic range real-time 3D measurement based on Fourier transform profilometry. Optics Laser Technol. 138, 106833 (2021). https://doi.org/10.1016/j.optlastec.2020.106833
Tarasevych, Y., Savchenko, I., Sovenko, N.: Estimation of random flow-rate characteristics of the automatic balancing device influence on centrifugal pump efficiency. In: Ivanov, V., Pavlenko, I., Liaposhchenko, O., Machado, J., Edl, M. (eds.) DSMIE 2020. LNME, pp. 105–115. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-50491-5_11
Lawlor, G.R.: L’Hôpital’s rule for multivariable functions. Am. Math. Monthly 127(8), 717–725 (2020). https://doi.org/10.1080/00029890.2020.1793635
Li, Q.-F., Huang, S.-R., Huang, H.-J.: Noise and torque characteristics of permanent magnet synchronous motor with unequal pole arc structure. J. Zhejiang Univ. (Eng. Sci.) 52(11), 2210–2217 (2018). https://doi.org/10.3785/j.issn.1008-973X.2018.11.020
Martsynkovskyy, V.A., Pozovnyi, O.O.: The impact of the multi-gap seals on rotor dynamics. J. Eng. Sci. 4(1), C7–C12 (2017). https://doi.org/10.21272/jes.2017.4(1).c2
Pozovnyi, O., Zahorulko, A., Krmela, J., Artyukhov, A., Krmelová, V.: Calculation of the characteristics of the multi-gap seal of the centrifugal pump, in dependence on the chambers’ sizes. Manuf. Technol. 20(3), 361–367 (2020). https://doi.org/10.21062/mft.2020.048
Wang, H., Wu, Y., Wang, Y., Deng, S.: Evolution of the flow instabilities in an axial compressor rotor with large tip clearance: an experimental and URANS study. Aerospace Sci. Technol. 96, 105557 (2020). https://doi.org/10.1016/j.ast.2019.105557
Nemec, M., Jelinek, T., Uher, J., Milcak, P.: Effect of stage reaction and shaft labyrinth seal in a stage of an axial steam turbine. In: Proceedings of the ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition, vol. 9: Oil and Gas Applications; Organic Rankine Cycle Power Systems; Steam Turbine. ASME, GT2020–14741 (2020). https://doi.org/10.1115/GT2020-14741.
Srivastav, O.P., Pandu, K.R., Gupta, K.: Effect of radial gap between impeller and diffuser on vibration and noise in a centrifugal pump. J. Inst. Eng. (India): Mech. Eng. Division 84(1 SEP), 36–39 (2003)
Kodnyanko, V., Shatokhin, S., Kurzakov, A., Pikalov, Y.: Theoretical analysis of compliance and dynamics quality of a lightly loaded aerostatic journal bearing with elastic orifices. Precis. Eng. 68, 72–81 (2021). https://doi.org/10.1016/j.precisioneng.2020.11.012
Neuwirth, J., Antonyuk, S., Heinrich, S., Jacob, M.: CFD-DEM study and direct measurement of the granular flow in a rotor granulator. Chem. Eng. Sci. 86, 151–163 (2013). https://doi.org/10.1016/j.ces.2012.07.005
Pavlenko, I., et al.: Effect of superimposed vibrations on droplet oscillation modes in prilling process. Processes 8(5), 566 (2020). https://doi.org/10.3390/PR8050566
Acknowledgments
The research has been carried out because of cooperation between Sumy State University (Ukraine) and the Technical University of Košice (Slovak Republic).
The main scientific results have been obtained within the research project “Fulfillment of tasks of the perspective plan of development of a scientific direction “Technical sciences” Sumy State University” ordered by the Ministry of Education and Science of Ukraine (State Reg. No. 0121U112684).
The results have also been partially obtained within the research project “Creation of new granular materials for nuclear fuel and catalysts in the active hydrodynamic environment” ordered by the Ministry of Education and Science of Ukraine (State Reg. No. 0120U102036).
The authors appreciate the International Association for Technological Development and Innovations for the support while conducting this research.
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Pavlenko, I., Savchenko, I., Pitel, J., Ivanov, V., Ruban, A. (2022). Diagnostics of the Rotor-Stator Contact by Spectral Analysis of the Vibration State for Rotor Machines. In: Tonkonogyi, V., Ivanov, V., Trojanowska, J., Oborskyi, G., Pavlenko, I. (eds) Advanced Manufacturing Processes III. InterPartner 2021. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-91327-4_51
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