Influence of Dynamic Stiffness of Support on Critical Speed of Rotor System and Experimental Verification

doi:10.3901/JME.2023.21.245

Abstract

Abstract: The dynamic stiffness of support affects the critical speed and inherent characteristics of rotor system greatly, but the research of influence law and influence degree of dynamic stiffness are not thorough. The influence law of dynamic stiffness on the critical speed is studied and the dynamic stiffness influence judgment index is proposed to represent the degree of dynamic stiffness influence. Firstly, the dynamic model of the rotor system considering the dynamic stiffness of the support is established. Then, the influence of dynamic stiffness on critical speed and its vary law under different parameters are analyzed. The dynamic stiffness of the supports may lead to the reduction of the critical speed and the emergence of a new resonance peak. The influence effect of dynamic stiffness is positively correlated with the initial support stiffness, but negatively correlated with the length of the shaft and the mass of the disk. Finally, the dynamic stiffness influence judgment index is proposed for the quantitative characterization of the dynamic stiffness impact degree, and the dynamic stiffness influence judgment index is verified by numerical examples and experimental studies. Both numerical and experimental results verify the validity of the dynamic stiffness influence judgment index.

Key words: rotor system, dynamic support stiffness, critical speed, judgment index, influence law

CLC Number:

V231
TB123

LUO Zhong, LIU Kaining, LIU Jiaxi, LI Lei, JIANG Guangyi. Influence of Dynamic Stiffness of Support on Critical Speed of Rotor System and Experimental Verification[J]. Journal of Mechanical Engineering, 2023, 59(21): 245-255.

References

[1] 洪杰,王华,肖大为,等. 转子支承动刚度对转子动力特性的影响分析[J]. 航空发动机, 2008, 34(1):23-27. HONG Jie, WANG Hua, XIAO Dawei, et al. Analysis of the influence of rotor support dynamic stiffness on rotor dynamic characteristics[J]. Aeroengine, 2008, 34(1):23-27.
[2] KIM S G, JANG S H, HWANG H Y, et al. Analysis of dynamic characteristics and evaluation of dynamic stiffness of a 5-axis multi-tasking machine tool by using FEM and exciter test[C]//International Conference on Smart Manufacturing Application, 2008, Goyangi, Korea, 563-567.
[3] OOI L E, RIPIN Z M. Dynamic stiffness and loss factor measurement of engine rubber mount by impact test[J]. Materials & Design, 2011, 32(4):1880-1887.
[4] TAO Jianfeng, LEI Junbo, LIU Chengliang, et al. Nonlinear static and dynamic stiffness characteristics of support hydraulic system of TBM[J]. Chinese Journal of Mechanical Engineering, 2019, 32(6):36-44.
[5] GUPTA T C. Parametric studies on dynamic stiffness of ball bearings supporting a flexible rotor[J]. Journal of Vibration and Control, 2019, 25(15):2175-2188.
[6] 肖世富,陈红永. Jeffcott刚性支承转子系统的稳定性与动刚度分析[J]. 应用力学学报, 2021, 38(4):1663-1669. XIAO Shifu, CHEN Hongyong. Stability and dynamic stiffness analysis of Jeffcott rigid support rotor system[J]. Chinese Journal of Applied Mechanics, 2021, 38(4):1663-1669.
[7] 鲁鹏,廖明夫,李明. 一种动刚度的测试方法及其在动平衡中的应用[J]. 噪声与振动控制, 2014, 34(2):207-211. LU Peng, LIAO Mingfu, LI Ming. A test method of dynamic stiffness and its application in dynamic balance[J]. Noise and Vibration Control, 2014, 34(2):207-211.
[8] 雷杰,雷晓波,房剑锋,等. 基于不平衡响应的转子动刚度测量方法[J]. 机械设计与研究, 2019, 35(2):142-146. LEI Jie, LEI Xiaobo, FANG Jianfeng, et al. Rotor dynamic stiffness measurement method based on unbalanced response[J]. Machine Design and Research, 2019, 35(2):142-146.
[9] 杜兆刚,张艳春,刘少权. Ms9001e燃气轮机轴承支座结构动刚度测试研究[J]. 燃气轮机技术, 2010, 23(1):30-33. DU Zhaogang, ZHANG Yanchun, LIU Shaoquan. Research on dynamic stiffness test of bearing support structure of MS9001E gas turbine[J]. Gas Turbine Technology, 2010, 23(1):30-33.
[10] 赵文涛,陈果,李琼,等. 航空发动机机匣支承动刚度有限元计算及验证[J]. 航空计算技术, 2011, 41(5):34-38. ZHAO Wentao, CHEN Guo, LI Qiong, et al. Finite element calculation and verification of dynamic stiffness of aero-engine casing support[J]. Aeronautical Computing Technology, 2011, 41(5):34-38.
[11] HONG Jie, CHEN Meng, LIU Shuguo, et al. Application of whole engine finite element models in aero-engine rotordynamic simulation analysis[C]//Proceedings of the ASME Turbo Expo, 2007, Montreal, Canada. ASME, 2007:771-778.
[12] SONG Huiying, WANG Shaohui, SUN Kai. Rotordynamic characteristics analysis for an aero-engine low pressure rotor rig test model[C]//International Conference on Mechanical, Material and Aerospace Engineering, 2018, Wuhan, China. MATEC Web of Conferences, 2018.
[13] 龙伦,吕彪,袁巍. 支承动刚度对某涡轴发动机燃气发生器转子临界转速影响分析[J]. 风机技术, 2018, 60(2):66-70. LONG Lun, LÜ Biao, YUAN Wei. Analysis of the influence of supporting dynamic stiffness on the critical speed of a turboshaft engine gas generator rotor[J]. Fan Technology, 2018, 60(2):66-70.
[14] 姜彦翠,刘献礼,吴石,等. 考虑结合面和轴向力的主轴系统动力学特性[J]. 机械工程学报, 2015, 51(19):66-74. JIANG Yancui, LIU Xianli, WU Shi, et al. Dynamic characteristics of spindle system considering joint surface and axial force[J]. Journal of Mechanical Engineering, 2015, 51(19):66-74.
[15] 陈果. 航空发动机整机振动耦合动力学模型及其验证[J]. 航空动力学报, 2012, 27(2):241-254. CHEN Guo. Vibration coupling dynamics model of aero-engine and its verification[J]. Journal of Aeronautical Dynamics, 2012, 27(2):241-254.
[16] 罗忠,王晋雯,韩清凯,等. 组合支承转子系统动力学的研究进展[J]. 机械工程学报, 2021, 57(7):44-60. LUO Zhong, WANG Jinwen, HAN Qingkai, et al. Research progress in dynamics of combined supported rotor systems[J]. Journal of Mechanical Engineering, 2021, 57(7):44-60.
[17] 李雷,罗忠,何凤霞,等. 考虑变幂数的畸变动力学相似实验模型设计方法及实验研究[J]. 机械工程学报, 2020, 56(23):107-117. LI Lei, LUO Zhong, HE Fengxia, et al. Design method and experimental research of similar experimental model for distortion dynamics considering variable powers[J]. Journal of Mechanical Engineering, 2020, 56(23):107-117.
[18] 李里. 转子系统的动力学建模与分析[D]. 北京:华北电力大学, 2017. LI Li. Dynamic modeling and analysis of rotor system[D]. Beijing:North China Electric Power University, 2017.
[19] LUO Zhong, LI Lei, YANG Yang, et al. Experimental and numerical investigations on novel models for mechanical behaviors of the elastic ring in aero-engine[J]. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 2021, 235(22):1-11.
[20] ZHANG Wei, DING Qian. Elastic ring deformation and pedestal contact status analysis of elastic ring squeeze film damper[J]. Journal of Sound and Vibration, 2015, 346:314-327.