提出以反共振隔振方法进行双层隔振系统设计，在不降低隔振区传递率衰减速率的条件下，抑制共振峰值改善双层隔振性能。针对三型单惯容反共振隔振器，进行了结构选型分析，优选了二级串联型三元件反共振隔振器适用于双层隔振系统；基于传递曲线存在与阻尼无关的固定点性质，建立了反共振双层隔振系统的调谐优化方法；考虑了反共振隔振器作为上层和下层隔振装置两种情形，根据所建立的优化方法分别得到了两种情形下刚度比和阻尼比的优化数值解，分析了调谐状态下共振峰值关于质量比的变化规律，最后讨论了传统隔振器阻尼的影响。结果表明，反共振隔振器在共振区有效抑制共振峰值，在隔振区保持双层隔振传递率衰减速率；共振峰值与质量比成负相关性；传统隔振器阻尼对反共振隔振效果不产生实质影响，但改变隔振区传递率衰减速率。
关键词：反共振隔振；双层隔振系统；惯容；调谐优化；被动隔振
Abstract
The anti-resonant isolation approach is proposed to design the two-stage vibration isolation system, for the purpose to significantly attenuate transmissibility at resonance without the penalty of increased transmissibility at high frequencies of isolation zone. Firstly, an analysis of anti-resonant isolator selection, which employed one inerter, was carried out, and the two layer series-wound layout consists of three elements was chosen as the suited anti-resonant isolator. Based on the fixed points at the curves of transmissibility, which were not concerned with the damping, the tuned optimization approach for the anti-resonant two-stage isolation system was established. With this presented approach, the optimized numerical solution of stiffness ratio and damping ratio corresponding to two cases, which the chosen anti-resonant isolator was mounted at the first stage and the second stage, had been obtained. At this tuned state, the influence of mass ratio to transmissibility at resonance was also investigated. Finally, the effect of damping of the traditional isolator, which constituted the two-stage isolation system with the anti-resonant isolator together, was discussed. The results demonstrate that the anti-resonant isolator has the benefit of limiting transmissibility amplitude at resonance without increasing transmissibility at higher frequencies. The transmissibility amplitude at resonance and the mass ratio present negative relativity. There is no substantial influence of the traditional isolator damping to the performance of anti-resonant two-stage isolation system, but it changes the attenuation ratio of transmissibility.
Key words: Anti-resonant vibration isolation; Two-stage isolation system; Inerter; Tuned optimization; Passive isolation
关键词
反共振隔振 /
双层隔振系统 /
惯容 /
调谐优化 /
被动隔振
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Key words
Anti-resonant vibration isolation /
Two-stage isolation system /
Inerter /
Tuned optimization /
Passive isolation
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