主系の減衰を考慮した動吸振器の設計式について　最小分散規範に基づく設計法

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  • Approximate Expression for Design of Optimal Dynamic Absorbers Attached to Damped Linear Systems. Optimization Process Based on the Minimum Variance Criterion.
  • シュケイ ノ ゲンスイ オ コウリョシタ ドウキュウシンキ ノ セッケイシキ

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This paper proposes an expression for design of optimal dynamic absorbers attached to damped linear systems. The classical expressions were derived from the assumption that the primary system has no damping. There are two optimization criteria in the design of the dynamic absorber : the fixed-points theory and the minimum variance criterion. In the fixed points theory, the dynamic absorber is optimally tuned and damped with respect to the primary system so that the two resonant amplitudes of the main mass are equal. In the latter criterion, however, the area under the power spectrum density curve of the main mass is adjusted to take the minimum value. The new expression proposed in this paper is based on the minimum variance criterion. A perturbation method is used to obtain the expression, and the accuracy of the perturbation solution is discussed.

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