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

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摘要为了削减齿轮传动系统的振动响应，提出了在靠近激励源处附加压电堆作动器同时抑制两对齿轮振动的双通道主动控制结构。鉴于FxLMS自适应滤波算法对非线性系统应用的局限性，采用了一种非线性自适应滤波双线性FxLMS(Bilinear FxLMS, BFxLMS) 算法。由于次级通道的准确性对于BFxLMS算法的控制性能有很大的影响，而应用较广的叠加噪声次级通道辨识技术会降低控制系统的效果，因此本文采用了一种直接估计误差技术对次级通道进行在线辨识，搭建了二级齿轮传动系统振动主动控制试验台，利用dSPACE作为控制器进行了半实物仿真试验。试验结果表明，在以两对齿轮啮合基频为衰减目标时，应用BFxLMS算法和FxLMS算法控制的齿轮箱体上的振动都有明显的减弱，而BFxLMS算法在齿轮传动系统主动控制应用中有更好的控制效果，在第一对齿轮啮合基频处可以达到11 dB的衰减量，在第二对齿轮啮合基频处可以达到10 dB的衰减量。

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	李自强1
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	杜明刚3
	杨阳3

关键词 ：非线性自适应滤波, 振动主动控制, BFxLMS, 在线辨识, 齿轮传动系统

Abstract：A dual channel active control structure with a piezoelectric stack actuator attached near the excitation source was proposed to suppress the nonlinear vibration of two pairs of gears in a two-stage transmission simultaneously.In view of the limitation of the FxLMS adaptive filtering algorithm applied in the nonlinear system,a nonlinear adaptive filtering algorithm,Bilinear FxLMS (BFxLMS) ,was adopted.Because the accuracy of the secondary path in the BFxLMS adaptive filtering algorithm has great effect on the control performance,and,in addition the secondary path identification technology which is used widely with feeding an extra noise will reduce the effect of control system, a direct estimation error technology was in troduced for the online identification of the secondary path.An experiment platform for studying active vibration controls was built,and a semi-physical simulation experiment was carried out using the dSPACE as the controller.The experiment results show that the vibration of thouse of a gear box transmission can be reduced obviously when the fundamental frequencies are taken as the control targets and the BFxLMS algorithm and the FxLMS algorithm are used for controlling, Moreover,the BFxLMS algorithm has a better performance in the active vibration control of gear transmission，the amplitude of vibration is attenuated by about 11 dB at the first fundamental frequency and by about 10 dB at the second fundamental frequency.

Key words： nonlinear adaptive filter active vibration control bfxlms online identification; gear transmission

收稿日期: 2015-09-14 出版日期: 2017-03-15

引用本文:

李自强1，2，李以农1，2，钟银辉2，杜明刚3，杨阳3. 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.
LI Ziqiang1,2,LI Yinong1,2,ZHONG Yinhui2，DU Minggang3，YANG Yang3. Nonlinear adaptive filtering algorithm for the active vibration control of gear transmission. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(6): 181-187.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2017/V36/I6/181

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