Parameters Optimization for a Kind of Dynamic Vibration Absorber with Negative Stiffness
Joint Authors
Shen, Yongjun
Xing, Haijun
Wang, Xiaoran
Yang, Shaopu
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 to H ∞ 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.
American Psychological Association (APA)
Shen, Yongjun& Wang, Xiaoran& Yang, Shaopu& Xing, Haijun. 2016. Parameters Optimization for a Kind of Dynamic Vibration Absorber with Negative Stiffness. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112901
Modern Language Association (MLA)
Shen, Yongjun…[et al.]. Parameters Optimization for a Kind of Dynamic Vibration Absorber with Negative Stiffness. Mathematical Problems in Engineering No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1112901
American Medical Association (AMA)
Shen, Yongjun& Wang, Xiaoran& Yang, Shaopu& Xing, Haijun. Parameters Optimization for a Kind of Dynamic Vibration Absorber with Negative Stiffness. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112901