三要素型動吸振器のH_2最適化設計(機械力学,計測,自動制御) H_2 Optimization of the Three-Element Type Dynamic Vibration Absorbers
The dynamic vibration absorber (DVA) is a passive vibration control device which is attached to a vibrating member (called a primary system) subjected to exciting force or motion. In this paper, we discuss an optimization problem of the three-element type DVA on the basis of the H_2 optimization criterion. The objective of the H_2 optimization is to reduce the total vibration energy of the system over all frequencies; the squared area under the frequency response curve of the system is minimized in this criterion. If the system is subjected to random excitation instead of sinusoidal excitation, then the H_2 optimization is probably more desirable than the popular H_∞ optimization. In the past decade there has been increasing interest in the three-element type DVA. However, the previous study on this type of DVA was based on the H_∞ optimization design, and no one has been able to find the exact solution. We propose the closed-form exact solution for a special case where the primary system has no damping; whereas numerical solutions are present for the general case when the primary damping is not negligible. The solutions obtained here are compared to those of the conventional Voigt type DVA.
- 日本機械学會論文集. C編
日本機械学會論文集. C編 68(665), 76-83, 2002-01-25