Performance analysis of high-static-low-dynamic stiffness vibration isolator with time-delayed displacement feedback

The displacement feedback with time delay considered is introduced in order to enhance the vibration isolation performance of a high-static-low-dynamic stiffness (HSLDS) vibration isolator. Such feedback is detailedly analyzed from the viewpoint of equivalent damping. Firstly, the primary resonance...

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Published inJournal of Central South University Vol. 24; no. 10; pp. 2294 - 2305
Main Authors Cheng, Chun, Li, Shun-ming, Wang, Yong, Jiang, Xing-xing
Format Journal Article
LanguageEnglish
Published Changsha Central South University 01.10.2017
Springer Nature B.V
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ISSN2095-2899
2227-5223
DOI10.1007/s11771-017-3641-3

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Abstract The displacement feedback with time delay considered is introduced in order to enhance the vibration isolation performance of a high-static-low-dynamic stiffness (HSLDS) vibration isolator. Such feedback is detailedly analyzed from the viewpoint of equivalent damping. Firstly, the primary resonance of the controlled HSLDS vibration isolator subjected to a harmonic force excitation is obtained based on the multiple scales method and further verified by numerical integration. The stability of the primary resonance is subsequently investigated. Then, the equivalent damping is defined to study the effects of feedback gain and time delay on primary resonance. The condition of jump avoidance is obtained with the purpose of eliminating the adverse effects induced by jumps. Finally, the force transmissibility of the controlled HSLDS vibration isolator is defined to evaluate its isolation performance. It is shown that an appropriate choice of feedback parameters can effectively suppress the force transmissibility in resonant region and reduce the resonance frequency. Furthermore, a wider vibration isolation frequency bandwidth can be achieved compared to the passive HSLDS vibration isolator.
AbstractList The displacement feedback with time delay considered is introduced in order to enhance the vibration isolation performance of a high-static-low-dynamic stiffness (HSLDS) vibration isolator. Such feedback is detailedly analyzed from the viewpoint of equivalent damping. Firstly, the primary resonance of the controlled HSLDS vibration isolator subjected to a harmonic force excitation is obtained based on the multiple scales method and further verified by numerical integration. The stability of the primary resonance is subsequently investigated. Then, the equivalent damping is defined to study the effects of feedback gain and time delay on primary resonance. The condition of jump avoidance is obtained with the purpose of eliminating the adverse effects induced by jumps. Finally, the force transmissibility of the controlled HSLDS vibration isolator is defined to evaluate its isolation performance. It is shown that an appropriate choice of feedback parameters can effectively suppress the force transmissibility in resonant region and reduce the resonance frequency. Furthermore, a wider vibration isolation frequency bandwidth can be achieved compared to the passive HSLDS vibration isolator.
Author Cheng, Chun
Li, Shun-ming
Wang, Yong
Jiang, Xing-xing
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Issue 10
Keywords vibration isolator
high-static-low-dynamic stiffness
multiple scales method
piecewise nonlinear
time-delayed feedback
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Snippet The displacement feedback with time delay considered is introduced in order to enhance the vibration isolation performance of a high-static-low-dynamic...
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SubjectTerms Damping
Delay
Engineering
Equivalence
Feedback
Metallic Materials
Numerical integration
Stiffness
Time lag
Vibration analysis
Vibration control
Vibration isolators
Title Performance analysis of high-static-low-dynamic stiffness vibration isolator with time-delayed displacement feedback
URI https://link.springer.com/article/10.1007/s11771-017-3641-3
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