Abstract

This is a follow-up article to a talk given a week ago at the D&D 2022 conference. At that time, we discussed the rate of deterioration of vibration suppression performance of the DVA optimized based on the H∞ criterion that occurs when the two absorber masses of a parallel-type double-mass dynamic vibration absorber (DVA) are set to equal. There are five dimensionless parameters necessary for optimal design of the double-mass DVA. One of them is the mass ratio of two absorbers arranged in parallel. Depending on a given system condition, the optimum mass ratio of the two absorbers becomes as small as 0.75(75%), but even when this mass ratio is set to 100%, the degradation rate of the DVA performance was only 0.43%. Now, in addition to the H∞ criterion, which aims to minimize the height of the resonance point of the primary system, there is the H2 criterion, which minimizes the area (called the H2 norm, which represents the energy of the vibration) under the curve obtained by squaring the frequency response function. In this presentation, we investigate how much the performance of a DVA designed with this H2 criterion deteriorates when the two absorber masses are equal.

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