FxRLS算法在齿轮箱振动主动控制中的应用
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摘要
为快速且有效控制齿轮传动系统振动,提出一种以Fx RLS算法为控制策略的主动控制方法。以二级齿轮箱的振动为控制目标,构建以一组压电作动器为执行机构的主动控制结构,在Simulink中基于Fx RLS算法设计多输入、多输出的主动控制系统,将在ADAMS中建立的齿轮箱虚拟样机模型作为机械模块与主动控制系统连接以进行联合仿真,仿真结果表明所提主动控制方法在多个频率处都对二级齿轮箱的振动有超过5 d B的衰减,证明了所提控制方法的有效性,相比Fx LMS控制系统,Fx RLS控制系统具有更快的收敛速度,且能取得更好的控制效果。
To suppress the vibration of gear transmission systems quickly and effectively, an active control method based on Fx RLS algorithm was proposed. With the vibration of a double-stage gearbox as the control target, an active control structure with a group of piezoelectric actuators as the executive unit was constructed. An active control system with multi-inputs and multi-outputs was designed in Simulink based on Fx RLS algorithm. The virtual prototype model of the gear-box established in ADAMS was connected with the active control system for joint simulation. The simulation results show that the proposed active control method has the attenuation effect above 5 d B for the double-stage gearbox vibration at multiple frequencies. Thus, the effectiveness of the control method is proved. Comparing with the Fx LMS control system,the Fx RLS control system has faster convergence rate, and can achieve better control effect
To suppress the vibration of gear transmission systems quickly and effectively, an active control method based on Fx RLS algorithm was proposed. With the vibration of a double-stage gearbox as the control target, an active control structure with a group of piezoelectric actuators as the executive unit was constructed. An active control system with multi-inputs and multi-outputs was designed in Simulink based on Fx RLS algorithm. The virtual prototype model of the gear-box established in ADAMS was connected with the active control system for joint simulation. The simulation results show that the proposed active control method has the attenuation effect above 5 d B for the double-stage gearbox vibration at multiple frequencies. Thus, the effectiveness of the control method is proved. Comparing with the Fx LMS control system,the Fx RLS control system has faster convergence rate, and can achieve better control effect
引文
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[12]ARDEKANI I T,ABDULLA W H.Theoretical convergence analysis of Fx LMS algorithm[J].Signal Processing,2010,90(12):3046-3055.
[13]张锋,李海燕,汪涵,等.采用自适应模糊PID控制的多级齿轮振动主动控制[J].华侨大学学报(自然科学版),2017,38(5):619-624.
[14]Punchalard R.Mean square error analysis of unbiased modified plain gradient algorithm for second-order adaptive IIR notch filter[J].Signal Processing,2012,92(11):2815-2820.
[15]尤波,陶守通,黄玲,等.基于MATLAB和ADAMS的肌电假手联合仿真[J].系统仿真学报,2017,29(5):957-964.
[2]李剑敏,吴跃成,宣海枫,等.基于齿面网格节点变形量的齿廓修形计算方法[J].中国机械工程,2017,28(3):294-299.
[3]Gao W,Wang L,Liu Y.A modified adaptive filtering algorithm with online secondary path identification used for suppressing gearbox vibration[J].Journal of Mechanical Science&Technology,2016,30(11):4833-4843.
[4]LI M,LIM T C,JR W S S,et al.Experimental active vibration control of gear mesh harmonics in a power recirculation gearbox system using a piezoelectric stack actuator[J].Smart Materials&Structures,2005,14(14):917-927.
[5]GUAN Y H,LIM T C,SHEPARD W S.Experimental study on active vibration control of a gearbox system[J].Journal of Sound&Vibration,2005,282(3):713-733.
[6]WU J D,LIN J H.Implementation of an active vibration controller for gear-set shaft usingμ-analysis[J].Journal of Sound&Vibration,2005,281(3-5):1037-1055.
[7]李以农,,张锋,王雷,等.次级通道在线辨识的齿轮啮合振动主动控制[J].振动与冲击,2013,32(16):7-12.
[8]李自强,李以农,钟银辉,等.基于非线性自适应滤波算法的齿轮传动系统振动主动控制[J].振动与冲击,2017,36(6):181-187.
[9]MONTAZERI A,POSHTAN J.A new adaptive recursive RLS-based fast-array IIR filter for active noise and vibration control systems[J].Signal Processing,2011,91(1):98-113.
[10]MIRZA A,ZEB A,SHEIKH S A.Robust adaptive algorithm for active control of impulsive noise[J].EURASIP Journal on Advances in Signal Processing,2016,2016(1):1-13.
[11]HUANG Q,GAO Z,GAO S,et al.Comparison of LMS and RLS algorithm for active vibration control of smart structures[C]//Third International Conference on Measuring Technology and Mechatronics Automation.IEEE Computer Society,2011:745-748.
[12]ARDEKANI I T,ABDULLA W H.Theoretical convergence analysis of Fx LMS algorithm[J].Signal Processing,2010,90(12):3046-3055.
[13]张锋,李海燕,汪涵,等.采用自适应模糊PID控制的多级齿轮振动主动控制[J].华侨大学学报(自然科学版),2017,38(5):619-624.
[14]Punchalard R.Mean square error analysis of unbiased modified plain gradient algorithm for second-order adaptive IIR notch filter[J].Signal Processing,2012,92(11):2815-2820.
[15]尤波,陶守通,黄玲,等.基于MATLAB和ADAMS的肌电假手联合仿真[J].系统仿真学报,2017,29(5):957-964.