Longitudinal vibration active control for a time-varying shafting-system based on a dynamic interpolation adaptive algorithm
ZHENG Hongbo1, QIN Hui1, HU Fang2, ZHANG Zhiyi1,3
1.School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2.School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, China;
3.Collaborative Innovation Center for Advanced Ship and Deep-sea Exploration, Shanghai Jiao Tong University, Shanghai 200240, China
Abstract:The longitudinal stiffness of thrust bearings varies with shaft speed to lead to a propulsion shafting system has time-varying dynamic characteristics.Here, the dynamic interpolation adaptive method was proposed to control longitudinal vibrations of a time-varying shafting system.Firstly, a coupled vibration model for a propulsion shafting system was established, and frequency response functions of the control channel and the disturbance channel were obtained from frequency domain equations.Then, the dynamic interpolation adaptive method was used to dynamically fit the time-varying compensator model with interpolation algorithm and eliminate influences of time-varying characteristics on the stability of the vibration control algorithm.To verify the validity of this control method, numerical simulations were conducted for the adaptive control methods with and without dynamic interpolation, respectively.Simulation results showed that the dynamic interpolation adaptive method can effectively control longitudinal vibrations of thrust bearings to avoid divergence of the adaptive control system without interpolation; under the steady operation at different shaft speeds, the proposed control method can extremely suppress longitudinal vibration of thrust bearings, and the vibration acceleration amplitude after control is smaller than 1/20 of that with no control.
郑洪波1,覃会1,胡芳2,张志谊1,3. 基于动态插值自适应方法的时变轴系纵向振动主动控制[J]. 振动与冲击, 2018, 37(21): 171-183.
ZHENG Hongbo1, QIN Hui1, HU Fang2, ZHANG Zhiyi1,3. Longitudinal vibration active control for a time-varying shafting-system based on a dynamic interpolation adaptive algorithm. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(21): 171-183.
[1] 赵 耀, 张赣波, 李良伟. 船舶推进轴系纵向振动及其控制技术研究进展[J]. 中国造船,2011,52(04): 259-269.
ZHAO Yao, ZHANG Gan-bo, LI Liang-wei. Ship propulsion shafting longitudinal vibration and control technology development [J].Shipbuilding of China, 2011, 52(04):259-269.
[2] 曹贻鹏, 张文平. 使用动力吸振器降低轴系纵振引起的水下结构辐射噪声研究[J]. 哈尔滨工程大学学报,28(7)(2007), pp. 747–751.
Cao Yi-peng, Zhang Wen-ping. Using Dynamic absorbers to reduce underwater structural noise due to longitudinal vibration of shafting[J]. Journal of Harbin Engineering University, 2007, 28(7):747–751.
[3] Dylejko P G, Kessissoglou N J, Tso Y, et al. Optimization of a resonance changer to minimize the vibration transmission in marine vessels [J]. Journal of sound and vibration, 2007, 300(1): 101-116.
[4] 李清云. 磁流变弹性体舰船推进轴系纵振吸振器的设计与实验[D].上海交通大学,2015.2.
LI Qin-yun. Design and experiment of the longitudinal vibration absorber for ship propulsion shafting based on magneto-rheological elastomer [D].Shanghai Jiao Tong University,2015.2.
[5] Lewis D W, Allaire P E and Thomas P W. Active Magnetic Control of Oscillatory Axial Shaft Vibrations in Ship Shaft Transmission Systems, Part 1: System Natural Frequencies and Laboratory Scale Model [J], Tribology transactions, 1989 32(2):170–178.
[6] Baz A, Gilheany J and Steimel P. Active Vibration Control of Propeller Shafts [J], Journal of Sound and Vibration, 1990, 136(3):361–372.
[7] Merz S, Kinns R and Kessissoglou N J. Structural and Acoustic Responses of a Submarine Hull Due to Propeller Forces [J], Journal of Sound and Vibration, 2009, 325(1-2):266–286.
[8] Lewis D W, Humphris R R and Thomas P W. Active Magnetic Control of Oscillatory Axial Shaft Vibrations in Ship Shaft Transmission Systems, Part 2: Control Analysis and Response of Experimental System, Tribology transactions [J]. 1989, 32(2):179–188.
[9] 李栋梁. 轴系-艇体耦合系统振动声辐射分析与实验研究[D].上海:上海交通大学,2012.
LI Dong-liang. Analysis and Experiment on Vibration and Acoustic Radiation of the Shafting-hull Coupled System [D].Shanghai: Shanghai Jiao Tong University, 2012.
[10] 胡芳. 推进轴系纵向振动主动控制方法研究[D].上海:上海交通大学,2014.
HU Fang. Research on active control of the longitudinal vibration of propulsion shafting systems [D].Shanghai: Shanghai Jiao Tong University, 2014.
[11] Zhang Z, Rustighi E, Chen Y, et al: Active Control of the Longitudinal-Lateral Vibration of a Shaft-Plate Coupled System[J], Journal of Vibration and Acoustics, 2012, 134(6): 061002.
[12] Pierre A, Pascal G, Greg P. Self-scheduled control of linear parameter-varying systems: a design example [J], Automatica, 1995,31(9):1251-1261.
[13] Hu Q, Ma H, Fei Q et al. Smooth switching control for discrete-time multi-variable systems with unknown time-varying parameters [J]. IET Control Theory & Applications, 2015, 9(6):994-962.
[14] Fahy F J, Gardonio P. Sound and structural vibration: radiation, transmission and response [M]. Salt Lake City: Academic press, 2007.
[15] Snyder S D, Hansen C H. The effect of transfer function estimation errors on the filtered-x LMS algorithm [J]. IEEE Transactions on Signal Processing, 1994, 42(4): 950-953.
[16] Zhang Z, Hu F, Wang J. On saturation suppression in adaptive vibration control [J]. Journal of Sound and Vibration, 2010, 329(9): 1209-1214.