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- Title
Analytical optimization of an inerter‐based dynamic vibration absorber for suppressing plate vibration.
- Authors
Zhang, Haizhong; Chen, Michael Z. Q.
- Abstract
An inerter‐based dynamic vibration absorber (IDVA) is proposed and applied to suppress the vibration of a plate. The dynamic model of a thin rectangular plate attached with an IDVA is established and the frequency response function of the transverse displacement of the plate is derived through the classical vibration theory and the analysis in the s$s$ domain. In addition, the equation for frequency ratios of fixed points is obtained, and the condition for the existence of four fixed points is found by investigating the problem of solving quartic equations. Moreover, the extended fixed‐point method is employed to analytically obtain the optimal parameters of the IDVA attached to a plate, the expressions of the optimal damping ratio and other dimensionless qualities are presented.
- Subjects
QUARTIC equations; VIBRATION absorbers; PROBLEM solving; DYNAMIC models; RECTANGLES; EQUATIONS
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2024, Vol 18, Issue 12, p1559
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/cth2.12702