Abstract
Purpose
The rod fastened rotor-bearing system is widely used in heavy duty gas turbine. Under hot start condition, the rotor would produce the initial thermal deflection, the unbalance parameters of rotor would increase, the nonlinear dynamic behavior of system would be more complex. Therefore, it is necessary to investigate the nonlinear dynamic behavior of the system with initial thermal deflection.
Method
Nonlinear dynamic model of rod fastened rotor-bearing system is established considering circumferential temperature contrast, initial preload force and nonlinear oil-film force, etc. The effects of circumferential temperature contrast and initial preload force on the nonlinear dynamic behavior of system have been simulated by the fourth-order Runge–Kutta method.
Result
The initial thermal deflection is introduced into the nonlinear dynamic model of rod fastened rotor-bearing system. The effects of preload force, circumferential temperature contrast and nonlinear oil-film force on the dynamic characteristics of rotor system are studied. The numerical results reveal periodic-1, periodic-2, periodic-3, quasi-periodic, and chaotic solutions, etc. of the rich and complex nonlinear behaviors of the system. It is also founded that the preload and circumferential temperature contrast are the main factors affecting the dynamic behavior of the system.
Conclusion
This paper established the nonlinear dynamic model of rod fastened rotor-bearing system. The acquisition of nonlinear dynamic behavior would provide a theoretical basis for the hot start and other problems. The contents and methods can provide guidance for the fault diagnosis of rod fastened rotors with initial thermal deflection. Meanwhile, this research may contribute to further understanding the nonlinear dynamic behaviors of the system under complex temperature field.
Similar content being viewed by others
References
Liu S, Ma Y, Zhang D, Hong J (2012) Studies on dynamic characteristics of the joint in the aero-engine rotor system. Mech Syst Signal Process 29:120–136
Wang J, Zhou J, Dong D, Yan B, Huang C (2013) Nonlinear dynamic analysis of a rub-impact rotor supported by oil film bearings. Arch Appl Mech 83(3):413–430
Lahmar M, Haddad A, Nicolas D (2000) An optimised short bearing theory for nonlinear dynamic analysis of turbulent journal bearings. Eur J Mech A Solid 19(1):151–177
Li W, Yang Y, Sheng D, Chen J (2011) A novel nonlinear model of rotor/bearing/seal system and numerical analysis. Mech Mach Theory 46(5):618–631
Li S, Xu Q, Zhang X (2007) Nonlinear dynamic behaviors of a rotor-labyrinth seal system. Nonlinear Dyn 47(1):921–329
Villa C, Sinou JJ, Thouverez F (2008) Stability and vibration analysis of a complex flexible rotor-bearing system. Commun Nonlinear Sci 13:804–821
Liu Y, Liu H, Yi J, Jing M (2015) Investigation on the stability and bifurcation of a rod-fastening rotor bearing system. J Vib Control 21:2866–2880
Hei D, Lu Y, Zhang Y, Liu F, Zhou C, Müller N (2015) Nonlinear dynamic behaviors of rod fastening rotor-hydrodynamic journal bearing system. Arch Appl Mech 85(7):855–875
Hu L, Liu Y, Zhao L, Zhou C (2016) Nonlinear dynamic behaviors of circumferential rod fastening rotor under unbalanced pre-tightening force. Arch Appl Mech 86(9):1621–1631
Li Y, Luo Z, Liu Z, Hou X (2019) Nonlinear dynamic behaviors of a bolted joint rotor system supported by ball bearings. Arch Appl Mech 89(7):2381–2395
Wang L, Wang A, Jin M, Huang Q, Yin Y (2020) Nonlinear effects of induced unbalance in the rod fastening rotor-bearing system considering nonlinear contact. Arch Appl Mech 90(10):917–943
Li J, Li Y, Zhang F, Feng Y (2020) Nonlinear analysis of rod fastened rotor under nonuniform contact stiffness. Shock Vib 5:1–10
Zhuo M, Yang L, Xia K, Yu L (2018) Thermal effects on the tensile forces of rods in rod-fastened rotor of heavy-duty gas turbine. Proc Inst Mech Eng C J Mech 233(8):2753–2762
Tian Y, Yang J (2011) Research on vibration induced by the coupled heat and force due to rotor-to-stator rub. J Vib Control 17(4):549–566
Zhuo M, Yang L, Xia K, Yu L (2018) A new computational method for predicting the thermal bow of a rotor. Proc Inst Mech Eng C J Mech 233(12):4372–4380
Li J, Zhong W, Mo G, Feng Y (2021) Research on the dynamic behaviors of rod fastened rotor considering circumferential temperature distribution. In: The 8th international conference on vibration engineering, 2021. ICVE, pp 1–6
Yuan H (2014) The theoretical basis of rotordynamics. Metallurgical Industry Press, Beijing
Chen W, Gunter E (2005) Introduction to dynamics of rotor-bearing systems. Trafford Publishing, Victoria
Bi C, Han D, Yang J (2020) The frequency perturbation method for predicting dynamic coefficients of supercritical carbon dioxide lubricated bearings. Tribol Int 146:1–14
Amamou A, Chouchane M (2014) Nonlinear stability analysis of long hydrodynamic journal bearings using numerical continuation. Mech Mach Theory 72(1):17–24
Acknowledgements
This work was supported by the National Science and Technology Major Projects (2017-IV-0010-0047).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Li, J., Li, Y., Cui, L. et al. Nonlinear Dynamic Behavior of Circumferential Rod Fastened Rotor with Initial Thermal Deflection. J. Vib. Eng. Technol. 10, 767–780 (2022). https://doi.org/10.1007/s42417-021-00407-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42417-021-00407-6