Acta Mechanica Sinica

, Volume 28, Issue 3, pp 848–853 | Cite as

Optimal design of vibration absorber using minimax criterion with simplified constraints

Research Paper
First Online:
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Accepted:

Abstract

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 requirement, a set of simplified constraint equations including distribution characteristics of the resonant frequencies of the primary system is established for the minimax objective function. The modified constraint equations have less unknown 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.

Keywords

Minimax Optimization Dynamic vibration absorber (DVA) Sensitivity 
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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.School of Aeronautics Science and EngineeringBeihang UniversityBeijingChina

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