Design optimization of a viscoelastic dynamic vibration absorber using a modified fixed-points theory

2018 ◽  
Vol 143 (2) ◽  
pp. 1064-1075 ◽  
Author(s):  
W. O. Wong ◽  
R. P. Fan ◽  
F. Cheng
Keyword(s):  
Design Optimization ◽  
Fixed Points ◽  
Vibration Absorber ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration

scholarly journals Parameters Optimization for a Kind of Dynamic Vibration Absorber with Negative Stiffness

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Yongjun Shen ◽  
Xiaoran Wang ◽  
Shaopu Yang ◽  
Haijun Xing
Keyword(s):  
Analytical Solution ◽  
Fixed Points ◽  
Numerical Solutions ◽  
Negative Stiffness ◽  
Vibration Absorber ◽  
Primary System ◽  
Stiffness Ratio ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration ◽  
Frequency Curves

A new type of dynamic vibration absorber (DVA) with negative stiffness is studied in detail. At first, the analytical solution of the system is obtained based on the established differential motion equation. Three fixed points are found in the amplitude-frequency curves of the primary system. The design formulae for the optimum tuning ratio and optimum stiffness ratio of DVA are obtained by adjusting the three fixed points to the same height according to the fixed-point theory. Then, the optimum damping ratio is formulated by minimizing the maximum value of the amplitude-frequency curves according toH∞optimization principle. According to the characteristics of negative stiffness element, the optimum negative stiffness ratio is also established and it could still keep the system stable. In the end, the comparison between the analytical and the numerical solutions verifies the correctness of the analytical solution. The comparisons with three other traditional DVAs under the harmonic and random excitations show that the presented DVA performs better in vibration absorption. This result could provide theoretical basis for optimum parameters design of similar DVAs.

scholarly journals Suppression of Vibration Induced by Reciprocal Motion of Displacer in Cryopump with an Active Dynamic Vibration Absorber

2019 ◽  
Vol 52 (15) ◽  
pp. 531-536
Author(s):  
Takeshi Mizuno ◽  
Takahito Iida ◽  
Yuji Ishino ◽  
Masaya Takasaki ◽  
Daisuke Yamaguchi
Keyword(s):  
Vibration Absorber ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration
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