Vibration Control of Active Dry Friction Damper-twin Rotor System Based on the Model-free Adaptive Algorithm

doi:10.3901/JME.2025.01.140

Abstract

Abstract: The dry friction dampers can generate friction damping through the contact of the friction pair, which has a broad prospect in rotor vibration suppression. To realize the active control of friction damping, an active magnetic elastic ring dry friction damper (AMERDFD) with the flexible support is designed, realizing the variation of friction damping by controlling the active magnetic actuator. Then, the model of the AMERDFD-twin rotor system is established, and the sensitivity of the damper with different support positions to the rotor vibration is analyzed. As a result, it is determined that the rotor vibration could be suppressed using AMERDFDs at the front / rear journal of the low-pressure fan / turbine shaft. After that, the control structure of tracking filter, least mean square module and model-free adaptive algorithm in series is adopted to simulate the vibration suppression of the twin rotor system. Finally, vibration suppression tests under the rotor run up and constant speed conditions were carried out on the designed test rig. The results show that the designed controller and dry friction damper can greatly suppress the vibration of the twin rotor system passing the critical speeds, and the maximum reduction can be up to 87.5%. In addition, the designed controller can effectively reduce the vibration of the target point at constant speed without significantly influencing the remaining measurement points.

Key words: active magnetic elastic ring dry friction damper, twin rotor system, model-free adaptive control, vibration suppression

CLC Number:

ZHANG Peng, JIANG Minghong, LI Wengheng, ZHU Changsheng. Vibration Control of Active Dry Friction Damper-twin Rotor System Based on the Model-free Adaptive Algorithm[J]. Journal of Mechanical Engineering, 2025, 61(1): 140-149.

References

[1] 宋兆泓. 应用园盘式干摩擦减振器对高速转子通过其临界转速时减振作用的一些分析[J]. 北京航空学院学报，1959(1)：63-77. SONG Zhaohong. Some analyses of the damping effect of a disk dry friction damper applied to a high-speed rotor passing its critical speed[J]. Journal of Beijing University of Aeronautics and Astronautics，1959(1)：63-77.
[2] HIBNER D H, BHAT S T, BUONO D F. Optimum friction damping of a flexible rotor[C]. ASME International Gas Turbine Conference & Products Show. Houston，America，1981.
[3] NIKHAMKIN M S，SEMENOV S V，MEKHONOSHIN G V，et al. Twin shaft rotor system vibration damping experimental investigation[J]. Applied Mechanics and Materials，2015(752)：918-921.
[4] 倪德，朱如鹏，陆凤霞，等. 有阻尼智能弹簧减振系统参数的一种设计方法[J]. 振动与冲击，2014，33(23)：116- 121+144. NI De，ZHU Rupeng，LU Fengxia，et al. A parametric design method for a smart damped spring vibration reduction system[J]. Journal of Vibration and Shock，2014，33(23)：116-121+144.
[5] 彭勃. 多跨轴系动力学及其智能弹簧支承减振研究[D]. 南京：南京航空航天大学，2017. PENG Bo. Research on multi-span shaft dynamics and vibration reduction via smart spring support[D]. Nanjing：Nanjing University of Aeronautics and Astronautics，2017.
[6] 宋明波，廖明夫，王四季. 折返式可控弹支干摩擦阻尼器设计及减振试验研究[J]. 振动与冲击，2019，38(14)：18-22. SONG Mingbo，LIAO Mingfu，WANG Siji. Experimental investigation on the vibration reduction performance of a damper with C-shape tunable elastic support and dry friction[J]. Journal of Vibration and Shock，2019，38(14)：18-22.
[7] 王四季，廖明夫，杨伸记. 主动式弹支干摩擦阻尼器控制转子振动的实验[J]. 航空动力学报，2007(11)：1893-1897. WANG Siji，LIAO Mingfu，YANG Shenji. Experimental investigation on rotor vibration control by elastic support/dry friction damper[J]. Journal of Aerospace Power，2007(11)：1893-1897.
[8] WANG Siji，LIAO Mingfu，SONG Mingbo, et al. An Active elastic support/dry friction damper: new modeling and analysis for vibration control of rotor systems[C]. Proceedings of the 10th International Conference on Rotor Dynamics–IFToMM，2019：19-33.
[9] 王四季，廖明夫. 带弹支干摩擦阻尼器的转子振动控制策略和方法[J]. 航空动力学报，2011，26(10)：2214-2219. WANG Siji，LIAO Mingfu. Control strategy and methods of rotor systems by an elastic support/dry friction damper[J]. Journal of Aerospace Power，2011，26(10)：2214-2219.
[10] LIU Di，ZHOU Liang，ZHANG Dayi，et al. A strategy of vibration control for rotors with dry friction dampers[J]. Journal of Vibration and Control，2022，(0)0：1-14.
[11] 蒋明宏，祝长生. 干摩擦阻尼器转子系统无模型自适应振动控制[J/OL]. 振动工程学报：1-10[2023-07-12]. http://kns.cnki.net/kcms/detail/32.1349.tb.20230316.1316.002.html. JIANG Minghong，ZHU Changsheng. Model free adaptive control of rotor system with active friction damper [J/OL]. Journal of Vibration Engineering：1-10[2023-07-12]. http://kns.cnki.net/kcms/detail/32.1349. tb.20230316.1316.002.html.
[12] 路凯华. 基于整体式挤压油膜阻尼器的转子及齿轮系统振动控制研究[D]. 北京：北京化工大学，2019. LU Kaihua. Research on vibration control of rotor and gear system based on integral squeeze film damper[D]. Beijing：Beijing University of Chemical Technology，2019.
[13] WIJATA A，AWREJCEWICZ J，MATEJ J，et al. Mathematical model for two-dimensional dry friction modified by dither[J]. Mathematics and Mechanics of Solids，2017，22(10)：1936-1949.
[14] 宋明波. 弹支干摩擦阻尼器与转子匹配的动力学设计方法研究[D]. 西安：西北工业大学，2016. SONG Mingbo. Dynamic design of elastic support/dry friction damper matching rotor[D]. Xi’an：Northwestern Polytechnical University，2016.
[15] MENQ C H，CHIDAMPARAM P，GRIFFIN J. Friction damping of two-dimensional motion and its application in vibration control[J]. Journal of Sound and Vibration，1991，144(3)：427-447.
[16] 单颖春，朱梓根. 平面接触圆运动摩擦力的解析与数值算法[J]. 航空动力学报， 2002(4)：447-450. SHAN Yingchun，ZHU Zigen. Theoretical and numerical methods for solving friction force of circular motion in contact plane[J]. Journal of Aerospace Power，2002(4)： 447-450.
[17] 郑坚强. 电磁轴承有限元分析、结构设计及控制[D]. 杭州：浙江大学，2004. ZHENG Jianqiang. Finite element analysis structure designation and control of the active magnetic bearing[D]. Zhejiang：Zhejiang University，2004.
[18] 王飞. 挤压油膜转子系统建模方法研究及动力特性分析[D]. 南京：南京航空航天大学，2018. WANG Fei. Research on modeling method and dynamic characteristic analysis for squeeze film damper rotor system[D]. Nanjing: Nanjing University of Aeronautics and Astronautics，2018.
[19] 侯忠生. 无模型自适应控制：理论与应用[M]. 北京：科学出版社，2013. HOU Zhongsheng. Model free adaptive control: Theory and application [M]. Beijing：Science Press，2013.
[20] 李翁衡，祝长生. 主动电磁轴承-柔性转子系统的不同位效应[J]. 振动工程学报，2023，36(5)：1179-1190. LI Wengheng，ZHU Changsheng. Non‑collocated effect on active magnetic bearing‑flexible rotor systems[J]. Journal of Vibration Engineering，2023，36(5)：1179-1190.
[21] 周天豪，陈磊，祝长生，等. 基于自适应变步长最小均方算法的磁悬浮高速电机不平衡补偿[J]. 电工技术学报，2020，35(9)：1900-1911. ZHOU Tianhao，CHEN Lei，ZHU Changsheng，et al. Unbalance compensation for magnetically levitated high-speed motors based on adaptive variable step size least mean square algorithm[J]. Transactions of China Electrotechnical Society，2020，35(9)：1900-1911.