減衰系に取り付ける動吸振器のH_2最適化における代数的厳密解

概要

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The objective of the H_2 optimization of the dynamic vibration absorbers (DVAs) is to minimize the vibration energy transmitted to the system from the source of excitation. In this optimization criterion, the squared area (called H_2-norm) under the frequency response curve of the system is minimized. If the system is subjected to random excitation instead of sinusoidal one, then the H_2 optimization is probably desirable than the popular H_∞ optimization. The H_2 optimization is a classical optimization problem of DVAs, and has been already solved for a special case when the primary system has no damping. However, for the general case where the damping is present in the primary system, the H_2 optimization problem is not solved by algebraic approach until today. This paper proposes a closed-form exact solution for the H_2 optimization of DVAs attached to the damped primary systems.
社団法人日本機械学会の論文
2001-03-25