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Designing the working surfaces of rotary planetary mechanisms

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Category: Content №4 2023

Last Updated on 28 August 2023

Published on 30 November -0001

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Authors:

I.F.Alrefo*, orcid.org/0000-0002-5626-7121, Al-Balqa Applied University, Amman, Jordan, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O.Matsulevych, orcid.org/0000-0001-5553-709X, Dmytro Motornyi Tavria State Agrotechnological University, Melitopol, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O.Vershkov, orcid.org/0000-0001-5137-3235, Dmytro Motornyi Tavria State Agrotechnological University, Melitopol, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

S.Halko, orcid.org/0000-0001-7991-0311, Dmytro Motornyi Tavria State Agrotechnological University, Melitopol, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O.Suprun, orcid.org/0000-0003-4369-712X, Dmytro Motornyi Tavria State Agrotechnological University, Melitopol, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

O.Miroshnyk, orcid.org/0000-0002-6144-7573, State Biotechnological University, Kharkiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

* Corresponding author e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

повний текст / full article

Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu. 2023, (4): 082 - 088

https://doi.org/10.33271/nvngu/2023-4/082

Abstract:

Purpose. To design a method for smoothing the working surfaces of stator and rotor with the use of computer simulation to eliminate the impact of the rotor on the stator when they interact.

Methodology. Special and general methods of research have been used: interpolation of the point series – to determine the contour nodes of the rotor and the stator of the rotary-planetary machine; formation of B-splines – to construct a point series whose coordinates are structurally determined; technology of automated formation of curves in CAD-system SolidWorks – for modelling of functional surfaces of a planetary-rotary compressor.

Findings. Algorithms for formation of the contours representing curves defined analytically or constructively with a given accuracy have been developed. The obtained contours are used in the CAD system as linear elements of the surface model. The developed method has been tested in the simulation of functional surfaces of a planetary-rotary compressor. Optimization of the body shape and rotor profiles in order to increase the productivity of the rotary-planetary machine has been carried out.

Originality. The developed algorithms make it possible to determine the original point series belonging to any curve and provide a given interpolation accuracy when forming a B-spline contour or second-order curve arcs. Computer models of the body surfaces of the rotor are formed on the basis of the gear ratio of the planetary-rotary mechanism and the rotor dimensions. In order to increase the performance of the compressor, the working surfaces of the rotor have been optimized. The maximum volume of the working chamber was increased by increasing the radius of the moving gear of the planetary-rotary mechanism. In order to prevent the rotor from jamming during compressor operation, the rotor contour was changed.

Practical value. The method for modelling the surfaces of complex shape in CAD-system has been developed on the basis of creating contours which with given accuracy represent lines from the surface determinant. This method makes it possible to form computer models of complex surfaces on the basis of a framework consisting of curves absent in CAD libraries.

Keywords: rotary planetary mechanism; computer model, epitrochoid contour, rotor, stator, gear ratio

References.

1. Jaberi, A., Yazdi, M., & Sabaapour, M. (2015). Analysis of 3D Passive Walking Including Turning Motions for the Finite-width Rimless Wheel. Journal of Computational Applied Mechanics, 46(1), 63-68. https://doi.org/10.22059/jcamech.2015.53394.

2. Yang, Y., Tang, J., Chen, G., Yang, Y., & Cao, D. (2021). Rub-Impact Investigation of a Single-Rotor System Considering Coating Effect and Coating Hardness. Journal of Vibration Engineering Technologies, 9(3), 491-505. https://doi.org/10.1007/s42417-020-00243-0.

3. Ma, H., Zhao, Q., Zhao, X., Han, Q., & Wen, B. (2015). Dynamic characteristics analysis of a rotor–stator system under different rubbing forms. Applied Mathematical Modelling, 39(8), 2392-2408. https://doi.org/10.1016/j.apm.2014.11.009.

4. Páez Chávez, J., Vaziri Hamaneh, V., & Wiercigroch, M. (2015). Modelling and experimental verification of an asymmetric Jeffcott rotor with radial clearance. Journal of Sound and Vibration, 334, 86-97. https://doi.org/10.1016/j.jsv.2014.05.049.

5. Shang, Z., Jiang, J., & Hong, L. (2011). The global responses characteristics of a rotor/stator rubbing system with dry friction effects. Journal of Sound and Vibration, 330(10), 2150-2160. https://doi.org/10.1016/j.jsv.2010.06.004.

6. Wang, S., Hong, L., & Jiang, J. (2020). Characteristics of stick-slip oscillations in dry friction backward whirl of piecewise smooth rotor/stator rubbing systems. Mechanical Systems and Signal Processing, 135, 106387. https://doi.org/10.1016/j.ymssp.2019.106387.

7. Srivastava, A. K., Tiwari, M., & Singh, A. (2021). Identification of rotor-stator rub and dependence of dry whip boundary on rotor parameters. Mechanical Systems and Signal Processing, 159, 107845. https://doi.org/10.1016/j.ymssp.2021.107845.

8. Yu, P., & Chen, G. (2021). Nonlinear modal analysis and its application on prediction of resonance speed for a rotor–stator rubbing system. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43(4), 209. https://doi.org/10.1007/s40430-021-02918-5.

9. Yu, P., Chen, G., & Li, L. (2022). Modal analysis strategy and nonlinear dynamic characteristics of complicated aero-engine dual-rotor system with rub-impact. Chinese Journal of Aeronautics, 35(1), 184-203. https://doi.org/10.1016/j.cja.2020.10.031.

10. Zhang, J., Zhang, L., Ma, Z., Wang, X., Wu, Q., & Fan, Z. (2021). Coupled bending-torsional vibration analysis for rotor-bearing system with rub-impact of hydraulic generating set under both dynamic and static eccentric electromagnetic excitation. Chaos, Solitons & Fractals, 147, 110960. https://doi.org/10.1016/j.chaos.2021.110960.

11. Pérez-Arribas, F., & Pérez-Fernández, R. (2018). A B-spline design model for propeller blades. Advances in Engineering Software, 118, 35-44. https://doi.org/10.1016/j.advengsoft.2018.01.005.

12. Khadiv, M., & A Moosavian, S. (2014). A Low Friction Demanding Approach in Gait Planning for Humanoid Robots During 3D Manoeuvres. Journal of Computational Applied Mechanics, 45(1), 47-60. https://doi.org/10.22059/jcamech.2014.52315.

13. Jang, D. J., Kim, Y. Ch., Hong, E. P., & Kim, G. S. (2021). Geometry design and dynamic analysis of a modified cycloid reducer with epitrochoid tooth profile. Mechanism and Machine Theory, 164, 104399. https://doi.org/10.1016/j.mechmachtheory.2021.104399.

14. Karaiev, O., Bondarenko, L., Halko, S., Miroshnyk, O., Vershkov, O., Karaieva, T., …, & Pristavka, M. (2021). Mathematical modelling of the fruit-stone culture seeds calibration process using flat sieves. Acta Technologica Agriculturae, 24(3), 119-123. https://doi.org/10.2478/ata2021-0020.

15. Lee, S. H., Kwak, H. S., Han, G. B., & Kim, C. (2019). Design of Gerotor Oil Pump with 2-Expanded Cardioids Lobe Shape for Noise Reduction. Energies, 12, 1126. https://doi.org/10.3390/en12061126.

16. Havrylenko, Y., Cortez, J. I., Kholodniak, Yu., Alieksieieva, H., & Garcia, G. T. (2020). Modelling of Surfaces of Engineering Products on the Basis of Array of Points. Tehnicki Vjesnik – Technical Gazette, 27(6). https://doi.org/10.17559/TV-20170921112131.

17. Saini, D., Kumar, S., & Gulati, T. R. (2017). NURBS-based geometric inverse reconstruction of free-form shapes. Journal of King Saud University – Computer and Information Sciences, 29, 116-133. https://doi.org/10.1016/j.jksuci.2014.12.010.

18. Zhang, Y., Ye, P., Wu, J., & Zhang, H. (2018). An optimal curvature-smooth transition algorithm with axis jerk limitations along linear segments. International Journal of Advanced Manufacturing Technology, 95, 875-888. https://doi.org/10.1007/s00170-017-1274-1.

19. Pessoles, X., & Rubio, W. (2010). Kinematic modelling of a 3-axis NC machine tool in linear and circular interpolation. International Journal of Advanced Manufacturing Technology, 47, 639-655. https://doi.org/10.1007/s00170-009-2236-z.

20. Havrylenko, Y., Kholodniak, Y., Halko, S., Vershkov, O., Bondarenko, L., Suprun, O., …, & Gackowska, M. (2021). Interpolation with specified error of a point series belonging to a monotone curve. Entropy, 23(5), 493, 1-13. https://doi.org/10.3390/e23050493.

21. Bilan, T., Kaplin, M., Makarov, V., Perov, M., Novitskii, I., Zaporozhets, A., Havrysh, V., & Nitsenko, V. (2022). The Balance and Optimization Model of Coal Supply in the Flow Representation of Domestic Production and Imports: The Ukrainian Case Study. Energies, 15, 8103. https://doi.org/10.3390/en15218103.

22. Panchenko, А., Voloshina, А., Panchenko, I., Titova, O., & Pastushenko, A. (2019). Reliability design of rotors for orbital hydraulic motors. IOP Conference Series: Materials Science and Engineering, 708(1), 012017. https://doi.org/10.1088/1757-899X/708/1/012017.

23. Voloshina, А., Panchenko, А., Panchenko, I., Titova, O., & Zasiadko, A. (2019). Improving the output characteristics of planetary hydraulic machines. IOP Conference Series: Materials Science and Engineering, 708(1), 012038. https://doi.org/10.1088/1757-899X/708/1/012038.

24. Al-Quraan, T. M. A., Vovk, O., Halko, S., Kvitka, S., Suprun, O., Miroshnyk, O., …, & Islam, A. (2022). Energy-Saving Load Control of Induction Electric Motors for Drives of Working Machines to Reduce Thermal Wear. Inventions, 7, 92. https://doi.org/10.3390/inventions7040092.

25. Tabor, S., Lezhenkin, A., Halko, S., Miroshnyk, A., Kovalyshyn, S., Vershkov, O., & Hryhorenko, O. (2019). Mathematical simulation of separating work tool technological process. In Proceedings of the 22 ^nd International Scientific Conference on Progress of Mechanical Engineering Supported by Information Technology, POLSITA, Czajowice, Poland, 19–20 September 2019, 132, 01025. https://doi.org/10.1051/e3sconf/201913201025.

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