转子系统在随机扰动下的动力学同步控制方法

孙涛; 秦卫阳; 向欢; 王元生

doi:10.13433/j.cnki.1003-8728.2017.0210

转子系统在随机扰动下的动力学同步控制方法

doi: 10.13433/j.cnki.1003-8728.2017.0210

1.
西北工业大学力学与土木建筑学院, 西安 710072

基金项目:

中央高校基本科研业务费资助项目（3102016ZY016）与航天创新基金项目（2016kc060013）资助

详细信息

作者简介:
孙涛(1983-),博士研究生,研究方向为转子动力学、混沌控制与同步,271052118@qq.com

通讯作者:
秦卫阳(联系人),教授,博士,mengg@nwpu.edu.cn

计量
- 文章访问数: 186
- HTML全文浏览量: 35
- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2016-02-03
- 刊出日期: 2017-02-05

Dynamical Synchronization between Rotors and its Stability Control under Stochastic Disturbance

1.
School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, China

摘要

摘要: 多转子系统在运行过程中，往往需要保持各个转子的运动同步，以达到最佳的性能与输出效果。对于转子系统，设计了一种以支承响应作为输入的控制方法，实现了两个转子系统之间的完全同步。这种同步，在支承受到随机干扰和故障产生的脉冲干扰下，仍然能够保持很好的稳健性。首先对同步控制方法进行了理论分析与证明，然后以弹性支承悬臂转子为对象，进行了仿真验证。模拟实际基础激励，在支承处施加随机与脉冲载荷，仿真结果证明了同步的稳定性，并且达到了很高的精度。
- 转子系统 /
- 同步 /
- 随机干扰 /
- 稳定性
Abstract: In this paper we addressed the dynamical synchronization between rotors and its robustness for random and pulse disturbances. For a dual-rotor system, we present a control method to realize synchronization between the rotors, which only needs the dynamic response of an elastic support of a rotor. The control method for synchronization by support coupling is proved theoretically. For validation an overhung rotor with two elastic supports were simulated. To examine the robustness of the method, additional pulse and stochastic disturbance forces are exerted on one of the two supports respectively. The results show that the simulation system will reach synchronization with the rotor rapidly. The responses of supports and disks prove that a high accuracy can be attained even under disturbances.
- rotor /
- synchronization /
- stochastic disturbance /
- stability

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参考文献(19)

[1]	方潘,侯勇俊,张丽萍,等.转子耦合摆系统的同步行为理论研究[J].物理学报,2016,65(1):014501 Fang P, Hou Y J, Zhang L P, et al. Synchronous behavior of a rotor-pendulum system[J]. Acta Physica Sinica, 2016,65(1):014501 (in Chinese)
[2]	王晓波,夏晓鸥,罗秀建,等.多转子振动系统自同步能量关系及其稳定性[J].有色金属(选矿部分), 2015,(2):75-78,87 Wang X B, Xia X O, Luo J X, et al. Self-synchronous energy relation and stability analysis of vibrating system with multi-exciters[J]. Nonferrous Metals (Mineral Processing Section), 2015,(2):75-78,87 (in Chinese)
[3]	郭培培,徐波,曹伟.双电机驱动自同步振动磨动力响应研究[J].轻工机械,2016,34(4):38-43 Guo P P, Xu B, Cao W. Research on dynamic response of self-synchronous vibration mill with dual motors[J]. Light Industry Machinery, 2016,34(4):38-43 (in Chinese)
[4]	黄涛,蒋春辉,王来伟,等.大型强迫同步圆振动筛的研制与应用[J].选煤技术,2016,(3):26-29,33 Huang T, Jiang C H, Wang L W, et al. R & D and application of large-size forced synchronous circular vibrating screen[J]. Coal Preparation Technology, 2016,(3):26-29,33 (in Chinese)
[5]	张守娟.随动系统的多电机同步控制方法研究[D].哈尔滨:哈尔滨工业大学,2013 Zhang S J. Research on multi-motor synchronous control approaches in servo system[D]. Harbin:Harbin Institute of Technology, 2013 (in Chinese)
[6]	Huera-Huarte F J, Gharib M. Flow-induced vibrations of a side-by-side arrangement of two flexible circular cylinders[J]. Journal of Fluids and Structures, 2011,27(3):354-366
[7]	韩清凯,秦朝烨,杨晓光,等.双转子自同步系统的振动分析[J].振动工程学报,2007,20(5):534-537 Han Q K, Qin Z Y, Yang X G, et al. Vibration analysis of a self-synchronization system with dual rotors[J]. Journal of Vibration Engineering, 2007,20(5):534-537 (in Chinese)
[8]	Zhang X L, Wen B C, Zhao C Y. Vibratory synchroni-zation and coupling dynamic characteristics of multiple unbalanced rotors on a mass-spring rigid base[J]. International Journal of Non-Linear Mechanics, 2014,60:1-8
[9]	Kapitaniak M, Perlikowski P, Kapitaniak T. Synchronous motion of two vertically excited planar elastic pendula[J]. Communications in Nonlinear Science and Numerical Simulation, 2013,18(8):2088-2096
[10]	Najdecka A, Kapitaniak T, Wiercigroch M. Synchronous rotational motion of parametric pendulums[J]. International Journal of Non-Linear Mechanics, 2015,70:84-94
[11]	王安福.用部分变量控制和同步一个超混沌系统[J].武汉大学学报(工学版),2010,43(2):249-252 Wang A F. Control and synchronization for a hyper chaotic system using partial variables[J]. Engineering Journal of Wuhan University, 2010,43(2):249-252 (in Chinese)
[12]	孟娟,王兴元.基于非线性观测器的一类混沌系统的相同步[J].物理学报,2007,56(9):5142-5149 Meng J, Wang X Y. Phase synchronization of chaotic systems based on nonlinear observers[J]. Acta Physica Sinica, 2007,56(9):5142-5149 (in Chinese)
[13]	Kenderi G, Fidlin A. Nonparametric identification of nonlinear dynamic systems using a synchronisation-based method[J]. Journal of Sound and Vibration, 2014, 333(24):6405-6423
[14]	马米花,蔡建平.外激励参数未知系统的同步控制及其参数识别[J].动力学与控制学报,2012,10(1):36-42 Ma M H, Cai J P. Synchronization control of systems with unknown parameters in external exciting force and parameters identification[J]. Journal of Dynamics and Control, 2012,10(1):36-42 (in Chinese)
[15]	Mei J, Jiang M H, Wang J. Finite-time structure identification and synchronization of drive-response systems with uncertain parameter[J]. Communications in Nonlinear Science and Numerical Simulation, 2013, 18(4):999-1015
[16]	祝大伟,涂俐兰.随机扰动下Lorenz混沌系统的自适应同步与参数识别[J].物理学报,2013,62(5):050508 Zhu D W, Tu L L. Adaptive synchronization and parameter identification for Lorenz chaotic system with stochastic perturbations[J]. Acta Physica Sinica, 2013,62(5):050508 (in Chinese)
[17]	Xu Y H, Zhou W N, Fang J A, et al. Adaptive synchronization of stochastic time-varying delay dynamical networks with complex-variable systems[J]. Nonlinear Dynamics, 2015,81(4):1717-1726
[18]	Yang X S, Cao J D. Finite-time stochastic synchroni-zation of complex networks[J]. Applied Mathematical Modelling, 2010,34(11):3631-3641
[19]	苟新超,唐世应,赵小军.滑动轴承存在冲击信号故障诊断案例[J].设备管理与维修,2009,(1):54-56 Gou X C, Tang S Y, Zhao X J. Fault diagnosis case of impact signal of sleeve bearing[J]. Plant Maintenance Engineering, 2009,(1):54-56 (in Chinese)