Research on Online Unbalance Identification for Ultra-high Speed Hybrid Gas Bearing-rotor System

doi:10.3901/JME.2025.03.337

Abstract

Abstract: Aiming at the problem that dynamic balancing method without trial weights neglects the bearing nonlinearity under the ultra-high speed, causing the low accuracy of multifaceted unbalance identification, an online unbalance identification method for hybrid gas bearing-rotor system considering the nonlinear gas film force is proposed. Firstly, a numerical solution termination method based on spectral amplitude is developed and a dynamic model of hybrid gas bearing-rotor system considering nonlinear transient gas film force is established to build an unbalance response database. Moreover, based on the hybrid genetic simulated annealing algorithm with both global optimization and local search capability, online unbalance identification of bearing-rotor systems under ultra-high speed is realized. The simulation and test results show that compared with the traditional time-period method as the termination condition of nonlinear dynamics calculation, the efficiency of the spectral amplitude method is greatly improved. Furthermore, compared with the unbalance identified by linear bearing force assumption, the online unbalance identification method considering the nonlinear gas film force improves the accuracy of unbalance identification, which can accurately identify the unbalance magnitude and phase of rotor system, and provide technical support for ultra-high speed online dynamic balance test.

Key words: ultra-high speed, hybrid gas bearing-rotor dynamic, nonlinear gas film force, online unbalance identification, hybrid genetic simulated annealing algorithm

CLC Number:

TH17

WANG Chenfei, WANG Xiaoli, ZHENG Chen. Research on Online Unbalance Identification for Ultra-high Speed Hybrid Gas Bearing-rotor System[J]. Journal of Mechanical Engineering, 2025, 61(3): 337-346.

References

[1] 宾光富，钟新利，张阳演，等. 基于压电驱动浮环轴承间隙可调的涡轮增压器转子瞬变振动主动控制[J]. 机械工程学报，2023，59(18):31-41. BIN Guangfu，ZHONG Xinli，ZHANG Yangyan，et al. Active control of transient vibration of turbocharger rotor based on piezoelectric drive floating ring bearing adjustable clearance[J]. Journal of Mechanical Engineering，2023，59(18):31-41.
[2] PAN Xin，LU Jiaqiao，HUO Jiaji，et al. A review on self-recovery regulation (SR) technique for unbalance vibration of high-end equipment[J]. Chinese Journal of Mechanical Engineering，2020，33(1):1-23.
[3] 霍家骥，于洪杰，潘鑫，等. 大型旋转设备压液式自动平衡系统[J]. 机械工程学报，2023，59(18):121-129. HUO Jiaji，YU Hongjie，PAN Xin，et al. Pneumatic-liquid type automatic balancing system for large-scale rotating equipment[J]. Journal of Mechanical Engineering，2023，59(18):121-129.
[4] 潘鑫，彭瑞轩，张皓宇，等. 装备新型电磁式自动平衡系统研究[J]. 机械工程学报，2023，59(18):3-12. PAN Xin，PENG Ruixuan，ZHANG Haoyu，et al. Research on novel electromagnetic automatic balancing system for high-end mechanical equipment[J]. Journal of Mechanical Engineering，2023，59(18):3-12.
[5] ABBASI A，FIROUZI B，SENDUR P，et al. Identification of unbalance characteristics of rotating machinery using a novel optimization-based methodology[J]. Soft Computing，2022，26(10):4831-4862.
[6] WANG Z，LI D，WANG Z，et al. Research on dynamic balance of spindle rotor system based on particle swarm optimization[J]. Advances in Materials Science and Engineering，2021，2021:9728248.
[7] 张茹鑫，温广瑞，张志芬，等. 集成GA-PSO方法的转子系统多点不平衡量识别[J]. 振动测试与诊断，2019，39(4):801-806. ZHANG Ruxin，WEN Guangrui，ZHANG Zhifen，et al. Multi-unbalances identification of rotor system integrated with GA-PSO method[J]. Journal of Vibration，Measurement and Diagnosis，2019，39(4):801-806.
[8] GUO Z，FENG K，LIU T，et al. Nonlinear dynamic analysis of rigid rotor supported by gas foil bearings:Effects of gas film and foil structure on subsynchronous vibrations[J]. Mechanical Systems and Signal Processing，2018，107:549-566.
[9] YU P，HOU L，JIANG K，et al. Dynamic modeling and nonlinear analysis for lateral–torsional coupling vibration in an unbalanced rotor system[J]. Applied Mathematical Modelling，2024，126:439-456.
[10] CASTRO H D，CAVALCA K，CAMARGO L D，et al. Identification of unbalance forces by metaheuristic search algorithms[J]. Mechanical Systems and Signal Processing，2010，24(6):1785-1798.
[11] ZHANG J，DENG Z，ZHANG K，et al. The influences of different parameters on the static and dynamic performances of the aerostatic bearing[J]. Lubricants，2023，11(3):130.
[12] CHEN W J，GUNTER E J. Introduction to dynamics of rotor-bearing systems[M]. Canada:Trafford Publishing，2007.
[13] LAMBORE A，GUPTA K，CHOPRA K. Genetic algorithm-A literature review[C]//2019 International Conference on Machine Learning，Big Data，Cloud and Parallel Computing (COMITCon)，February 14-16，2019，Faridabad，India，IEEE，2019:380-384.
[14] METROPOLIS N，ROSENBLUTH A W，ROSENBLUTH M N，et al. Equation of state calculations by fast computing machines[J]. The Journal of Chemical Physics，1953，21(6):1087-1092.