journal article·2022-12

Investigation of stability and synchronization properties of two oscillators in a solid–liquid coupling system

Jiong Li, Yu Wang, Lingrong Kong, Yunwang Sun, Hao Wu, Jun Qu

Publisher page

Abstract

The stability and synchronous rotation of oscillators is a key technology of the sonic drilling rigs, vibratory breakers and pile sinkers. This paper studies the stability and synchronization properties of two oscillators in a solid–liquid coupling system. The system mainly comprises two oscillators, two hydraulic motors and a gear pair. Since each oscillator is driven by a hydraulic motor and the hydraulic motors are connected in parallel, a new dynamic model of the two oscillators is established. In this model, we consider both the nonlinearity of the gear pair and the hydraulic factors. According to the numerical results, the new method improves the stability of the system. The rotational angle and speed deviations indicate that the system can guarantee the synchronization of the two oscillators when the meshing stiffness and meshing damping ratio of the gear system are varied. The synchronization accuracy is excellent. Additionally, the numerical results are validated by simulation in AMESIM software.
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Gear and Bearing Dynamics Analysis · Vibration and Dynamic Analysis · Iterative Learning Control Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (33)

Show source-provided references
1. Balthazar, J.M., Felix, J.L.P., Brasil, R.: Short comments on self-synchronization of two non-ideal sources supported by a flexible portal frame structure. J. Vib. Control 10, 1739–1748 (2004). https://doi.org/10.1177/107754630404175410.1177/1077546304041754 ↗
2. Balthazar, J.M., Felix, J.L.P., Brasil, R.M.: Some comments on the numerical simulation of self-synchronization of four non-ideal exciters. Appl. Math. Comput. 164, 615–625 (2005). https://doi.org/10.1016/j.amc.2004.06.01010.1016/j.amc.2004.06.010 ↗
3. Bergada, J.M., Watton, J., Kumar, S.: Pressure, flow, force, and torque between the barrel and port plate in an axial piston pump. J. Dyn. Syst. Meas. Control-Trans. ASME. 130, 011011 (2008). https://doi.org/10.1115/1.280718310.1115/1.2807183 ↗
4. Blekhman, I.I., Fradkov, A.L., Nijmeijer, H., Pogromsky, A.Y.: On self-synchronization and controlled synchronization. Syst. Control Lett. 31, 299–305 (1997). https://doi.org/10.1016/S0167-6911(97)00047-910.1016/S0167-6911(97)00047-9 ↗
5. Cao, Z., et al.: Effects of the gear eccentricities on the dynamic performance of a planetary gear set. Nonlinear Dyn. 91, 1–15 (2018). https://doi.org/10.1007/s11071-017-3738-010.1007/s11071-017-3738-0 ↗
6. Chang, J., Wan, C.: Strong nonlinearity analysis for gear-bearing system under nonlinear suspension—Bifurcation and chaos. Nonlinear Anal.-Real World Appl. 11, 1760–1774 (2010a). https://doi.org/10.1016/j.nonrwa.2009.03.02710.1016/j.nonrwa.2009.03.027 ↗
7. Chang, J., Wan, C.: Nonlinear analysis for gear pair system supported by long journal bearings under nonlinear suspension. Mech. Mach. Theory. 45, 569–583 (2010b). https://doi.org/10.1016/j.mechmachtheory.2009.11.00110.1016/j.mechmachtheory.2009.11.001 ↗
8. Chen, Y.-C., Yang, T.-H., Choi, S.-T.: Dynamic analysis of a double-helical geared rotor system with oil-film bearing. AEAT. 92, 653–662 (2020). https://doi.org/10.1108/AEAT-05-2019-009410.1108/AEAT-05-2019-0094 ↗
9. Chen, Z., et al.: Dynamic investigation of a locomotive with effect of gear transmissions under tractive conditions. J. Sound Vibr. 408, 220–233 (2017). https://doi.org/10.1016/j.jsv.2017.07.01710.1016/j.jsv.2017.07.017 ↗
10. Farshidianfar, A., Saghafi, A.: Global bifurcation and chaos analysis in nonlinear vibration of spur gear systems. Nonlinear Dyn. 75, 783–806 (2014). https://doi.org/10.1007/s11071-013-1104-410.1007/s11071-013-1104-4 ↗
11. Han, Q., et al.: Dynamic analysis of a geared rotor system considering a slant crack on the shaft. J. Sound Vibr. 331, 5803–5823 (2012). https://doi.org/10.1016/j.jsv.2012.07.03710.1016/j.jsv.2012.07.037 ↗
12. K Khoozani, M., Poursina, M., P Anaraki, A.: Study of gyroscopic effects on the dynamics and vibrations of double-helical planetary gear set. In: Proceedings of the IMechE. 146441931772594 (2017). https://doi.org/10.1177/146441931772594710.1177/1464419317725947 ↗
13. Kahraman, A., Singh, R.: Non-linear dynamics of a spur gear pair. J. Sound Vibr. 142, 49–75 (1990). https://doi.org/10.1016/0022-460X(90)90582-K10.1016/0022-460X(90)90582-K ↗
14. Kang, M.R., Kahraman, A.: An experimental and theoretical study of the dynamic behavior of double-helical gear sets. J. Sound Vibr. 350, 11–29 (2015). https://doi.org/10.1016/j.jsv.2015.04.00810.1016/j.jsv.2015.04.008 ↗
15. Li, L., Chen, X.: Times-frequency synchronization of two exciters with the opposite rotating directions in a vibration system. J. Sound Vibr. 443, 591–604 (2019). https://doi.org/10.1016/j.jsv.2018.11.04610.1016/j.jsv.2018.11.046 ↗
16. Li, M., Hu, H.Y.: Dynamic analysis of a spiral bevel-geared rotor-bearing system. J. Sound Vib. 259, 605–624 (2003). https://doi.org/10.1006/jsvi.2002.511110.1006/jsvi.2002.5111 ↗
17. Li, M., Hu, H.Y., Jiang, P.L., Yu, L.: Coupled axial–lateral–torsional dynamics of a rotor–bearing system geared by spur bevel gears. J. Sound Vib. 254, 427–446 (2002). https://doi.org/10.1006/jsvi.2001.401610.1006/jsvi.2001.4016 ↗
18. Li, Y., et al.: Influence of asymmetric mesh stiffness on dynamics of spiral bevel gear transmission system. Math. Probl. Eng. 2010, 1–13 (2010). https://doi.org/10.1155/2010/12414810.1155/2010/124148 ↗
19. Li, Y., et al.: Non-linear dynamics of gear pair with dynamic backlash subjected to combined internal and external periodic excitations. J. Vib. Control. 22, 1693–1703 (2016). https://doi.org/10.1177/107754631454435010.1177/1077546314544350 ↗
20. Liu, L., Wang, Y., Qian, Y., Li, S.: Dynamic analysis of sonic vibration drilling string with the sampling tool. Alex. Eng. J. 61, 8703–8713 (2022). https://doi.org/10.1016/j.aej.2022.02.01210.1016/j.aej.2022.02.012 ↗
21. Luo, C.L., Mo, X., Li, J.Y., Tang, Z.Q., Huang, S.S.: Coupling synchronization criterion of two hydraulic motors in an eccentric rotary vibration machine. Shock Vib. 2019, 1–11 (2019). https://doi.org/10.1155/2019/608687410.1155/2019/6086874 ↗
22. Nevzat Özgüven, H., Houser, D.R.: Mathematical models used in gear dynamics—A review. J. Sound Vibr. 121, 383–411 (1988). https://doi.org/10.1016/S0022-460X(88)80365-110.1016/S0022-460X(88)80365-1 ↗
23. Pahnehkolaei, S.M.A., Alfi, A., Machado, A.T.: Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems. Comput. Appl. Math. 39, 182 (2020). https://doi.org/10.1007/s40314-020-01206-710.1007/s40314-020-01206-7 ↗
24. Parker, R.G., et al.: Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons. J. Sound Vibr. 237, 435–455 (2000). https://doi.org/10.1006/jsvi.2000.306710.1006/jsvi.2000.3067 ↗
25. Perlikowski, P., Stefański, A., Kapitaniak, T.: 1:1 Mode locking and generalized synchronization in mechanical oscillators. J. Sound Vibr. 318, 329–340 (2008). https://doi.org/10.1016/j.jsv.2008.04.02110.1016/j.jsv.2008.04.021 ↗
26. dos Santos, L.O.E., Philippi, P.C., Bertoli, S.L., Facin, P.C.: Lattice-gas models for single and two-phase flows: application to the up-scaling problem in porous microstructures. Comput. Appl. Math. 21, 545–571 (2002)
27. Shin, D., Palazzolo, A.: Nonlinear analysis of a geared rotor system supported by fluid film journal bearings. J. Sound Vibr. 475, 115269 (2020). https://doi.org/10.1016/j.jsv.2020.11526910.1016/j.jsv.2020.115269 ↗
28. Velex, P., Flamand, L.: Dynamic response of planetary trains to mesh parametric excitations. J. Mech. Des. 118, 7–14 (1996). https://doi.org/10.1115/1.282686010.1115/1.2826860 ↗
29. Wang, C., Wang, S.R., Yang, B., Wang, G.Q.: Dynamic modeling of double helical gears. J. Vibrat. Control. 24, 3989–3999 (2018). https://doi.org/10.1177/107754631771788510.1177/1077546317717885b ↗
30. Yavuz, S.D., et al.: Nonlinear dynamic analysis of a drivetrain composed of spur, helical and spiral bevel gears. Nonlinear Dyn. 100, 3145–3170 (2020). https://doi.org/10.1007/s11071-020-05666-810.1007/s11071-020-05666-8 ↗
31. Yavuz, S.D., et al.: Nonlinear time-varying dynamic analysis of a spiral bevel geared system. Nonlinear Dyn. 92, 1901–1919 (2018). https://doi.org/10.1007/s11071-018-4170-910.1007/s11071-018-4170-9 ↗
32. Zhang, A., et al.: Modeling and dynamic response of parallel shaft gear transmission in non-inertial system. Nonlinear Dyn. 98, 997–1017 (2019a). https://doi.org/10.1007/s11071-019-05241-w10.1007/s11071-019-05241-w ↗
33. Zhang, T., et al.: Establishment and validation of a locomotive–track coupled spatial dynamics model considering dynamic effect of gear transmissions. Mech. Syst. Signal Proc. 119, 328–345 (2019b). https://doi.org/10.1016/j.ymssp.2018.09.03210.1016/j.ymssp.2018.09.032 ↗