论文标题

赫兹链中的局部能量吸收器

Localized energy absorbers in Hertzian chains

论文作者

Vasconcellos, Carlos, Zuñiga, René, Job, Stéphane, Melo, Francisco

论文摘要

数十年来,能源吸收器和能量收获的设备一直在科学家和工程师的范围下,以满足特定的技术需求,主要与声音和振动吸收器以及有效的机械能量转换器有关。在本文中,作为概念证明,我们构建了一种质量质量设备,以研究浸入一个构成相等弹性球的线性阵列之一的线性吸收器的响应。球几乎没有接触,因此只能维持非线性孤立波传播。线性入侵者根据入射单波的频率含量吸收给定的能量。开发了数值模拟来说明实验发现。数值模型的验证允许对任何数量的入侵者吸收的能量进行理论研究,并证明前者与后者呈指数增加,表明只有十个入侵者足以吸收系统能量。一项从外部源向链条传播能量的详细研究表明,由于非线性,球体数量能够将几乎所有机械冲击转换为定义明确的孤立或孤立波的列车,其频率含量几乎独立于激发幅度。该属性导致设计设备的设计,该设备可在广泛的频率范围内进行优化,以吸收能量。

Energy absorbers and energy-harvesting devices have been under the scope of scientists and engineers for decades to fulfill specific technological needs, mainly concerned with sound and vibration absorbers, and efficient mechanical energy converters. In this paper, as a proof of concept, we build a mass-in-mass device to study the response of a linear absorber immersed in one of the spheres composing a linear array of equal elastic spheres. Spheres barely touch one another and can thus sustain nonlinear solitary wave propagation only. The linear intruder absorbs a given amount of energy depending on the frequency content of the incident solitary wave. A numerical simulation is developed to account for the experimental finding. The validation of the numerical model allows for the theoretical study of the energy absorbed by any number of intruders, and to demonstrate that the former increases exponentially with the latter, indicating that only ten of the intruders is enough to absorb the system energy. A detailed study of the transmitted energy from an external source into the chain reveals that, due to nonlinearity, the array of spheres is able to convert almost any mechanical shock to a well defined solitary or trains of solitary waves, whose frequency content is nearly independent on the excitation amplitude. This property leads to the design of a device, which is optimized to absorb energy over a broad frequency range.

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