Energy sinks: Vibration absorption by an optimal set of undamped oscillators

Energy sinks: Vibration absorption by an optimal set of undamped oscillators
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能量汇:通过一组最佳无阻尼振荡器吸收振动

DOI:
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发表时间:
2005
期刊:
影响因子:
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通讯作者:
A. Akay
A. Akay
中科院分区:
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文献类型:
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作者:
I. M. Koç;A. Carcaterra;Zhaoshun Xu;A. Akay

文献摘要

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本演示文稿提供了能量吸收器的概念,作为振动吸收和阻尼的传统方法的替代方案。这里设想的原型能量汇由一组连接到振动结构或振动结构的组成部分的振荡器组成。构成能量汇的振荡器从结构中吸收振动能量并将其保留在其相空间中。原则上,能量汇不像传统意义上的热那样耗散振动能量。吸收的能量永久地保留在能量汇中,使得来自主结构的能量流对它来说表现为阻尼。本文证明了当一组线性振子具有特定的固有频率分布时,它们可以以近似不可逆的方式集体吸收和保留振动能量。获得这样的频率响应的方法是基于最小化作为该组中的振荡器的频率分布的函数的结构所保留的能量的优化。
This presentation offers the concept of energy sinks as an alternative to conventional methods of vibration absorption and damping. A prototypical energy sink envisioned here consists of a set of oscillators attached to, or an integral part of, a vibrating structure. The oscillators that make up an energy sink absorb vibratory energy from a structure and retain it in their phase‐space. In principle, energy sinks do not dissipate vibratory energy as heat in the classical sense. The absorbed energy remains in an energy sink permanently so that the flow of energy from the primary structure appears to it as damping. This paper demonstrates that a set of linear oscillators can collectively absorb and retain vibratory energy with near irreversibility when they have a particular distribution of natural frequencies. The approach to obtain such a frequency response is based on an optimization that minimizes the energy retained by the structure as a function of frequency distribution of the oscillators in the set.