はりの差分近似解を用いた境界近傍での制振制御(機械力学,計測,自動制御)

概要

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A wave absorbing control of beam near boundary by finite difference (FD) approach is presented. The FD equation of motion of the boundary node under the influence of the boundary condition is compensated to be the same as that of the inner node free from the boundary condition by using the characteristic solutions. The control strategy consists of a real-time convolution integral of the measured boundary node displacement and the time domain transfer function between adjacent nodes (characteristic solution). The real transfer function has two arbitrary constants. Control for beams has been investigated for these arbitrary constants considering the causality. Some suitable combinations of the arbitrary constants can realize both wave control and the fixed boundary node displacement smaller than the static one. Comparison between the FD approach and the impedance matching control for cantilevered beam shows that they have equivalent performance. We also confirmed the effectiveness of the wave controller by the time domain simulation.
2010-10-25