三柔性叶片轴承转子系统的PD控制及仿真
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摘要
转子振动主动控制技术是当今转子动力学的研究热点之一,随着现代控制理论和计算机技术与测量技术的发展,转子的振动控制技术逐步由被动控制转向主动控制,为实现对转子系统的主动控制,轴承的种类及结构形式也在不断发展,多种形式的非常规柔性轴承都在成功的应用或研制中,三柔性叶片主动控制滑动轴承就是其中之一。
     计算机仿真是利用计算机对自然现象、系统工程、运动规律以至人脑思维等客观世界进行逼真的模拟,建立相应物理系统的数学模型在计算机上解算的过程。随着计算机的普及与进步,数值模拟与计算机图形技术及可视化技术相结合,计算机仿真在工程设计、生产管理、实验研究、系统分析等各个领域得到愈来愈广泛的应用。
     本文以三柔性叶片主动控制滑动轴承转子系统模型为基础,采用PD控制策略模拟振动的主动控制,在VC++6.0环境下,基于MFC开发出仿真系统平台,对该系统进行了主动控制仿真研究。主要研究工作如下:
     (1)首先介绍了三柔性叶片主动控制滑动轴承转子系统各部分结构的物理模型及工作原理,对应各部分结构的物理模型,详细地叙述了数学建模采用的各种数学方法,分析了各种数学方法的原理及特点。
     (2)分析了PD控制策略的优点及应用场合,以转子涡动位移和涡动速度的模构建了目标函数,将PD控制策略应用到该转子系统的数学模型中,采用PD控制策略对该轴承转子系统实施主动控制。
     (3)在VC++6.0环境下,基于MFC开发出仿真系统平台,制作仿真界面,编写程序,将数学模型转化为计算机语言。该仿真系统平台可以进行多种状态下的实时仿真,提高了系统仿真的效率和灵活性。
     (4)运用仿真系统平台,对系统在自由振动和受迫振动状态下分别进行了的大量实时仿真研究。研究了转子、叶片的振动曲线,转子轴心轨迹及主动控制腔中控制压力变化曲线等各项性能,对主动控制前后的仿真结果进行了对比分析和总结。
     仿真结果表明PD控制策略能够对转子的振动进行有效控制,转子的减振效果明显,较大程度地提高了系统的整体稳定性。该轴承具有良好的受控性能,研究工作进一步推动了该轴承转子系统在高速重载旋转机械方面的应用。
Active control technology of rotor vibration is a hot topic in the field of rotor dynamics. With the development of modern control theory, computer and measuring technique, vibration control technology of rotor is trans from passive control to active control. To achieve active control of rotor system, the kinds and structures of bearing is accordingly developed, various forms of unconventional flexible bearings are used successfully or under development, an active oil bearing with three flexible sleeves is one of them.
     Computer simulation is to use computer to simulate the objective world of natural phenomenon, system engineering, motion regularity, artificial intelligence, etc. to establish the mathematics model of the physical system and to solved it on computer. With the popularity and progress of computer, numerical simulation combined with computer graphics, visualization technology, computer simulation has found an increasingly wide utilization in engineering design, production management, experimental study, system analysis, etc.
     This paper based on the model of the rotor bearing system with three flexible sleeves, applied PD control strategy to simulate the active control of vibration, in the environment of VC++6.0, based on MFC developed a system simulation platform, and do simulation research on the active control of the system. The main research work includes the following:
     (1) Firstly introduces the Physical model and working principle of all parts of the rotor bearing system, corresponding to the Physical model, detailedly described the mathematical methods used in mathematical modeling, analyzed the principle and characteristic of the mathimatical methods.
     (2) Analyzed the advantages and applications of PD control strategy, using the Model of the rotor's whirl displacement and velocity construct the goal function, apply PD control strategy to the mathematical model of the rotor system, exert PD control strategy to the active control of the rotor bearing system.
     (3) In the environment of VC++ 6.0, based on MFC developed a system simulation platform, design simulation interface and programming algorithm, convert the mathematical model to computer program. The platform can realize real-time simulation in many situations, promote efficiency and flexibility of system simulation.
     (4) Use the system simulation platform, engaged in a great deal of real-time simulation study on the system in free vibration and forced vibration respectively. studied the rotor and sleeves oscillating curve, Rotor center trajectory, Active control pressure curve, etc. compared, analyze and conclude the simulation results before and after active control.
     The simulation result shows that PD control strategy could control system vibration efficiently, vibration reduction is obvious, greatly improved the stability of the system. this kind of active bearing can achieve obvious control effect, the study give more impetus to the application in the field of high speed and heavily loaded rotary machinery.
引文
[1]闻邦椿等.高等转子动力学.北京:机械工业出版社,1989.
    [2]黄文虎,武新华等.非线性转子动力学研究综述.振动工程学报,2000,13(4):497-509.
    [3]杨积东.转子系统故障的若干非线性动力学问题研究.沈阳:东北大学出版社,2001.
    [4]侯海云.滚动轴承和滑动轴承联合作用下不对中转子-轴承系统的动力学研究:(硕士学位论文).西安:西安电子科技大学,2006.
    [5]孟光.转子动力学研究的回顾与展望.振动工程学报,2002,15(1):1-9.
    [6]祝长生,汪希萱,新型动静压挤压油膜阻尼器对柔性转子系统振动的控制.机械工程学报,1996,32(6):6-83.
    [7]王家春.机械振动主动控制技术的研究现状和发展综述.机械强度学报,2001,23(2):76-83.
    [8]顾仲权,马扣根,陈卫东.振动主动控制.国防工业出版社,2003,13(5):25-28.
    [9]郭春华.多盘柔性转子-支承系统振动主动控制研究的初探:(硕士学位论文).四川:西南交通大学,2002.
    [10]张阿舟,姚起杭等.振动控制工程.北京:北京航空工业出版社,1989.
    [11]丁文镜.减震理论.北京:北京清华大学出版社,1988.
    [12]顾中权.振动控制评述.噪声与振动控制,1988,12(1):5-13.
    [13]C.R.Fuller,A.H.von Flotow.Active Control of Sound and Vibration,IEEE Control Systems,1995:9-19.
    [14]S.J.Elliott,P.A.Nelson,Active Noise Control,IEEE Signal Processing Magazine,1993:12-35.
    [15]Ulbrich H.Control of Flexible Rotor by Active Elements.ASME,The 11th Biennial Conf.on Mech.Vib.& Noise,1987:25-29.
    [16]Sahinkaya M N,Burrows C R.Control of Stability and the Synchronous Vibration of a Flexible Rotor Supported on Oil Film Bearings.J.of Dyn.Sys.Meas.& Control,1985,107(2):139-144.
    [17]丁文镜,王和祥,蔡坚.关于挠性转子的主动减振.振动与冲击,1988,7(3):1-10.
    [18]Kaya F,Roberts J B.Optimal Vibration Control of Flexible Transmission Shaft.The 3rd Int.Conf.on Vib.in Rotating Machinery,York,United Kingdom,1984,9(5):4-12.
    [19]顾中权.振动控制中低阶控制器的优化设计.振动工程学报,1990,3(3):1-8.
    [20]Nonami K,Flemin D P.Quasi Modal Vibration Control by Means of Active Control Bearings.Proc.of Int.Conf.on Rotordynamics,1986,4(3):5-9.
    [21]Chen H M,Darlow M S.Magnetic Bearing with Rotating Force Control.ASME,Trans.J.of Tribology,1988,1(10):100-105.
    [22]Zhu W,Castelazo L,Nelson H D.An Active Optimal Control Strategy of Rotor Vibrations Using external Forces.ASME,The 12th Biennial Conf.on Mech.Vib.& Noise,1989,11(8):130-136.
    [23]Stanway R,Burrows C R.Active Vibration Control of a Flexible Rotor on Flexibly-Mounted Journal Bearings.ASME Trans.J.Dyn.Sys.Meas.& Control,1981,10(3):383-388.
    [24]刘淑琴,徐华等.基于H_∞频域整形微积分控制参数在磁悬浮轴承中的应用.西安交通大学学报,2001,10(6):625-628.
    [25]Hagedorn P.On a new Concept of Active Vibration Damping of Elastic Structures.Proceedings of The 2nd International Symposium on Structural Control,1985,12(8):261-277.
    [26]W.R.White,P.A.Nelson A.R.D.Curtis.Experiments on the Active Control of Flexural Wave Power Flow.Journal of Sound and Yibration,1987,8(5):187-191.
    [27]刘兴堂等.应用自适应控制.陕西:西北工业大学出版社,2003.
    [28]B.rafaely,S.J.Elliott.An Adaptive and Robust Feedback Control Controller for Active Control of Sound and Vibration.UKACC International Conference on CONTROL' 96,1996,42(5):149-153.
    [29]王传波,刘旸.现代控制理论与经典控制理论的对比研究.机械管理开发,2006,11(6):6-8.
    [30]Tzeng,M.J Wu,W.ZAnalytical and experimental investigation on vibration control of Piezoelectric structures.American Society of Mechanical Engineers,1991,34(2):33-42.
    [31]Ishimatsu,Takakazu Shimomachi,Takashi Taguchi.Active vibration control of flexible rotor using electromagnetic damper.Journal of Sound and Vibration,1991,2(1):437-442.
    [32]王曦.内燃机整机振动主动控制优化理论及实验研究:(硕士学位论文).天津:天津大学,1995.
    [33]郝志勇,付鲁华,舒歌群等.内燃机整机振动部分施控系统理论与试验研究.内燃机学报,2000,18(3):230-234.
    [34]滕鸿,朱继梅.柔性转子系统稳定性的主动控制.全国首届转子动力学学术讨论会,1986,8(6):49-55.
    [35]冯冠平.柔性转子振动的计算机控制.全国首届转子动力学学术讨论会,1986,8(6):49-29.
    [36]祝长生,汪希萱.新型动静压挤压油膜阻尼器对柔性转子系统振动的控制.机械工程学报,1996,32(15):76-83.
    [37]章永强,骆振黄,陈之炎.受控静压挤压油膜阻尼方案及其动态特性分析.机械工程学报,1994,30(8):85-91.
    [38]王健,沈亚鹏.形状记忆合金作动器的设计及优化.力学学报,1998,30(4):449-459.
    [39]王洪礼,张新生,刘勇等.磁浮轴承的控制和动态过程研究.机械工程学报,1996,28(5):77-85.
    [40]王洪礼,吴志强.磁力轴承转子系统的Hopf分岔.天津大学学报,1994,27(6):752-757.
    [41]王洪礼,竺致文,孙景.用形状记忆合金控制转子振动的非线性动力学研究.振动工程学报,2001,14(3):309-313.
    [42]王洪礼,李强,竺致文.梯度算法在转子时变控制中的应用研究.天津大学学报,2003,36(2):156-159.
    [43]王洪礼,李强,孙景.用形状记忆合金弹簧主动控制转子振动.机械强度,2002,24(1):29-31.
    [44]闻邦椿等.转子系统变刚度主动控制的非线性特性的研究.机械强度,1995,17(3):36-39.
    [45]刘宝江,晏砺堂.转子振动主动控制中瞬态响应的抑制.航空学报,1994,15(2):422-427.
    [46]顾家柳.旋转机械振动主动控制研究的现状和展望.全国首届转子动力学学术讨论会,1986,10(86):49-51.
    [47]顾家柳.转子系统振动主动控制的目的及对策.振动与冲击,1993,7(2):2-7.
    [48]汪海航,汪希萱.转子振动主动控制的研究现状及存在问题.山东轻工业学院学报,1996,12(1):54-57.
    [49]王正中等.现代计算机仿真技术及其应用.北京:国防工业出版社,1991.
    [50]Janusz M.Krodkiewski,Hongxia Song,Fei Chen.Passive And Actire Control of Vibrations of A Rotor System By Means of An Oil Bearing With Flexible Sleeves.The 7th IF To MM-Conference on Rotor Dynamics,2006:25-28.
    [51]周桂如,马骥,全永听.流体润滑理论.杭州:浙江大学出版社,1990.
    [52]张鹏顺,陆思聪.弹性流体动力润滑及其应用.北京:高等教育出版社,1995.
    [53]张国贤,金键,吴白羽.EMP径向滑动轴承弹性变形的有限元求解.润滑与密封,2000,(6):2-4.
    [54]王韵成,邵敏.有限单元法基本原理和数值方法(第二版).北京:清华大学出版社,1997.
    [55]孟庆逢,王忠样.流体动压润滑轴承的有限元分析法.天津轻工业学院学报,1994,(2):54-59.
    [56]张景绘.动力学系统建模.北京:国防工业出版社,2000.
    [57]邹建奇,陆佑方,那景新.转动Timoshenko梁的动力学方程及频率分析.应用力学学报,1996,13(4):117-122.
    [58]陈榕,万春风,薛松涛等.Timoshenko梁运动方程的修正及其影响.同济大学学报,2005,33(6):711-715.
    [59]张韵华.数值计算方法和算法.科学出版社,2003.
    [60]刘贵杰,丁虹,王静铭.转子振动主动控制技术研究现状分析.中国机械工程,1996,7(1):54-57.
    [61]薛定宇.控制系统计算机辅助设计-NATLAB语言及应用.北京:清华大学出版社,1998.
    [62]Gosiewski Z.Rotor Vibration Control.ASME,Rotating Machinery Dynamics,1987.
    [63]孙优贤.工业过程模型化及控制.浙江大学出版社,1988.
    [64]牟鸿.主动磁轴承不平衡补偿的研究.南京:南京航空航天大学,2003.
    [65]王惠刚.计算机仿真原理及应用.湖南:国防科技大学出版社,2000.
    [66]黄维通.Visual C++面向对象与可视化程序设计.北京:清华大学出版社,2003.
    [67]唐克.MFC程序设计.北京:北京希望电子出版社,2002.
    [68]李久进.MFC深入简出-从MFC设计到MFC编程.华中理工大学出版社,1999.