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- Title
Improving the performance of an autoparametric vibration absorber.
- Authors
Zhang, Chao; Yabuno, Hiroshi; Yasui, Kenji
- Abstract
The autoparametric vibration absorber is a device that reduces the resonance amplitude in a main system using nonlinear interactions. In this study, we consider a cantilever-type autoparametric vibration absorber and propose two methods to enhance performance via linear and nonlinear feedback control. To decrease the response amplitude at the anti-resonance point, we compensate for the viscous damping of the absorber by actuating the supporting point of the cantilever according to the feedback control with respect to the absorber velocity. In the state where the energy is transferred from the main system into the absorber, the absorber amplitude becomes large. Then, because the natural frequency is shifted from the linear natural frequency owing to the nonlinear stiffness of the absorber, the frequency ratio between the absorber and the main system deviates from a suitable ratio such as 1:2. To avoid this shift, we eliminate the cubic nonlinear stiffness of the absorber via cubic nonlinear feedback control with respect to the displacement of the absorber. By performing nonlinear analysis of the governing equations of the main system and the absorber under the control methods, we examine the absorber performance depending on the linear and nonlinear feedback gains. Furthermore, we conduct experiments using a simple apparatus. The results demonstrate the validity of the proposed control methods.
- Subjects
VIBRATION absorbers; NONLINEAR analysis; ENERGY transfer
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 13, p10739
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-024-09483-1