Optimal Design of a Parallel-Type Double-Mass Dynamic Vibration Absorber Based on Stability Criterion

Abstract

There are three typical criteria for design of dynamic vibration absorbers (DVAs): the H_¥ optimization, H₂ optimization,and stability maximization criteria. When single-mass, parallel-type double-mass, and series-type double-mass DVAs are optimized using these criteria, it has already been clarified that the effect of vibration suppression by the DVAs improves in the listed order. More specifically, if the vibration suppression performance of the parallel-type double-mass DVA is evaluated based on the H_¥ and H₂ optimization criteria, then it will be midway between the performances of the singlemass and series-type double-mass DVAs. However, if performance is evaluated by the stability criterion, that of the parallel-type double-mass DVA is only slightly improved relative to the single-mass DVA. Because the stability criterion for DVAs is a criterion for searching for the condition under which the characteristic equation of the vibratory system takes a repeated root, the characteristic root trajectories for the parallel-type double-mass DVA are compared with those for the series-type DVA in this paper.