Optimal design of vibration absorber using minimax criterion with simplified constraints

In this paper, a minimax design of damped dynamic vibration absorber for a damped primary system is investigated to minimize the vibration magnitude peaks. Moreover, to reduce the sensitivity of the primary system response to variations of the forcing frequency for a two- degree-of-freedom system, t...

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Bibliographic Details
Published in:Acta mechanica Sinica 2012-06, Vol.28 (3), p.848-853
Main Authors: Fang, Jie, Wang, Shi-Min, Wang, Qi
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Computational Intelligence
Design engineering
Dynamical systems
Dynamics
Engineering
Engineering Fluid Dynamics
Mathematical analysis
Mathematical models
Minimax technique
Optimization
Research Paper
Theoretical and Applied Mechanics
Vibration
优化设计
减振器
动力吸振器
振动幅度
极大极小准则
约束方程
自由度系统
谐振频率
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Summary:In this paper, a minimax design of damped dynamic vibration absorber for a damped primary system is investigated to minimize the vibration magnitude peaks. Moreover, to reduce the sensitivity of the primary system response to variations of the forcing frequency for a two- degree-of-freedom system, the primary system should have two equal resonance magnitude peaks. To meet this re- quirement, a set of simplified constraint equations includ- ing distribution characteristics of the resonant frequencies of the primary system is established for the minimax objective function. The modified constraint equations have less un- known variables than those by other authors, which not only simplifies the computation but also improves the accuracy of the optimal values. The advantage of the proposed method is illustrated through numerical simulations.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-012-0085-8