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轮带系统横向振动的行波消去法 被引量:2

Transverse vibration control of belt drive systems by wave cancellation method
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摘要 考虑作动器中张紧轮质量的影响,研究轴向运动弦线和作动器所组成的耦合系统的横向振动控制。此系统被作动器分成受控和未控两部分,在频域内利用Green函数法求解出系统的响应,采用行波消去法设计出控制律。在初始条件和激励作用下,利用Durbin拉氏变换数值反演法将受控系统的振动响应转化到时域内,并利用Matlab进行数值仿真。算例结果表明:在脉冲激励和正弦激励作用下,系统振动在3秒内分别减小到0和未受控制时的1/5,验证了控制律的有效性。 Vibration control of an axially moving string system consisting of a controlled span coupled to a tensioner is investigated by considering the influence of mass of the tension pulley.Transverse response of both the controlled and uncontrolled system is derived in the frequency domain by Green function method and the wave cancellation method is then employed to design the control law for ensuring the vibration reduction.The Durbin's numerical inversion of Laplace is employed to transform the vibration response of the controlled span into time domain under initial disturbance and excitations,and then the effectiveness of the control law is demonstrated by Matlab simulation.
作者 余小刚 张伟
机构地区 福州大学
出处 《应用力学学报》 CAS CSCD 北大核心 2011年第3期270-274,327,共5页 Chinese Journal of Applied Mechanics
基金 福州大学科研启动基金(826230) 福州大学科技发展基金(826807)
关键词 轴向运动弦线 横向振动 行波消去法 作动器 Green函数法 axially moving string transverse vibration wave cancellation method tensioner Green function method.
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参考文献9

  • 1张伟,陈立群.轴向运动弦线横向振动的线性反馈控制[J].应用力学学报,2006,23(2):242-245. 被引量:6
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二级参考文献11

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共引文献11

同被引文献21

  • 1张伟,陈立群.轴向运动弦线横向振动的控制:能量方法[J].机械强度,2006,28(2):201-204. 被引量:7
  • 2张伟,陈立群.轴向运动弦线横向振动控制的自适应方法[J].机械工程学报,2006,42(4):96-100. 被引量:8
  • 3刘金琨.滑膜变结构控制Matlab仿真[M].北京:清华大学出版社,2005.
  • 4王高雄.常微分方程[M].北京:高等教育出版社,2004.
  • 5Zhang W, Chen L C.Vibration control of an axially moving string system:Wave cancellation method[J].Applied Mathematics and Computation,2006(175):851-863.
  • 6张伟,陈立群.轴向运动弦线横向振动控制的Lyapunov方法[J].控制理论与运用,2006,23(4):532-535.
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  • 9Tan C A, Ying S. Active wave control of the axially moving string: theory and experiment [ J . Journal of Sound and Vibration ,2000,236 (5) :861 - 880.
  • 10Ying S, Tan C A. Active vibration control of the axially moving string using space feedward and feedback controllers [ J ]. Journal of Vibration and Acoustics, 1996, 118: 306 - 312.

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