Minimization of maximum amplitude magnification factor in double-mass dynamic vibration absorbers

2016 ◽  
Vol 2016 (0) ◽  
pp. 231 ◽  
Author(s):  
Osamu NISHIHARA ◽  
Toshihiko ASAMI
Keyword(s):  
Maximum Amplitude ◽  
Vibration Absorbers ◽  
Magnification Factor ◽  
Dynamic Vibration ◽  
Double Mass ◽  
Dynamic Vibration Absorbers

Optimal Design of Double-Mass Dynamic Vibration Absorbers Minimizing the Mobility Transfer Function

2018 ◽  
Vol 140 (6) ◽  
Author(s):  
Toshihiko Asami ◽  
Yoshito Mizukawa ◽  
Tomohiko Ise
Keyword(s):  
Transfer Function ◽  
Vibration Suppression ◽  
Optimal Solution ◽  
Algebraic Solution ◽  
Primary System ◽  
Vibration Absorbers ◽  
Dynamic Vibration ◽  
Double Mass ◽  
Dynamic Vibration Absorbers ◽  
The Absolute

Although the vibration suppression effects of precisely adjusted dynamic vibration absorbers (DVAs) are well known, multimass DVAs have recently been studied with the aim of further improving their performance and avoiding performance deterioration due to changes in their system parameters. One of the present authors has previously reported a solution that provides the optimal tuning and damping conditions of the double-mass DVA and has demonstrated that it achieves better performance than the conventional single-mass DVA. The evaluation index of the performance used in that study was the minimization of the compliance transfer function. This evaluation function has the objective of minimizing the absolute displacement response of the primary system. However, it is important to suppress the absolute velocity response of the primary system to reduce the noise generated by the machine or structure. Therefore, in the present study, the optimal solutions for DVAs were obtained by minimizing the mobility transfer function rather than the compliance transfer function. As in previous investigations, three optimization criteria were tested: the H∞ optimization, H2 optimization, and stability maximization criteria. In this study, an exact algebraic solution to the H∞ optimization of the series-type double-mass DVA was successfully derived. In addition, it was demonstrated that the optimal solution obtained by minimizing the mobility transfer function differs significantly at some points from that minimizing the compliance transfer function published in the previous report.

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