Realization of Completely Vibration Free State of a Beam Using ABC Method.

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  • ＡＢＣ法による柔軟はりの無振動状態生成について
  • ABCホウ ニ ヨル ジュウナンハリ ノ ムシンドウ ジョウタイ セイセイ ニ ツイテ

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Abstract

This paper considers Active Boundary Control(ABC)of a flexible beam that enables the generation of any boundary condition at a designated position of the target beam. First, from a viewpoint of wave analysis, this paper begins by deriving an equation of motion of a flexible beam with arbitrary boundary conditions at both end of the beam. Then, the control law of ABC method using feedforward control is derived, thereby permitting one to produce any king of boundary condition at any designated position of a beam. Furthermore, as a result of applying the ABC onto an existing boundary condition of a beam, a methodology to create a completely vibration free state is proposed. lt is found that there exists a special case to generate a completely vibration free state by merely introducing ABC onto an arbitrary location of a targeted area of a beam. Finally, an experiment is conducted using a filtered-x LMS algorithm, demonstrating the validity of ABC.

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