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

[+] Author and Article Information
Toshihiko Asami

Professor, Member of ASME, Department of Mechanical Engineering, University of Hyogo, 2167 Shosha, Himeji, Hyogo, 671-2280, Japan

Yoshito Mizukawa

Graduate student, Department of Mechanical Engineering, University of Hyogo

Tomohiko Ise

Lecturer, Member of ASME, Department of Mechanical Engineering, Toyohashi University of Technology

1Corresponding author.

ASME doi:10.1115/1.4040229 History: Received May 10, 2017; Revised February 07, 2018


Although the vibration suppression effects of precisely adjusted dynamic vibration absorbers (DVAs) are well known, multi-mass 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 Hinf optimization, H2 optimization, and stability maximization criteria. In this study, an exact algebraic solution to the Hinf 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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