Abstract
This paper deals with the vibration control method of a flexible beam. It is the purpose of this paper to present a new control method, the ABC method (Active Boundary Control method), which makes it possible not only to suppress all the vibration modes of the flexible beam, but also to realize the completely vibration-free state in the flexible beam. First, this paper presents the principle of the ABC method, and then the necessary conditions for the optimal ABC system are derived. According to this method, two more boundary conditions are introduced in addition to the conventional four boundary conditions. If the ABC method is applied to the driving point where the disturbance acts, it becomes possible to suppress all the vibration modes of the flexible beam. By applying the ABC method to the conventional boundary condition, it is also possible to realize the completely vibration-free state in the flexible beam.
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