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)

概要

論文の詳細を見る
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.
社団法人日本機械学会の論文
2002-01-25