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Nonlinear Microstructured Material to Reduce Noise and Vibrations at Low Frequencies

机译:非线性微结构化材料,以减少低频噪声和振动

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At low frequencies, for which the wavelengths are wide, the acoustic waves and the mechanical vibrations cannot easily be reduced in the structures at macroscale by using dissipative materials, contrarily to the middle- and high-frequency ranges. The final objective of this work is to reduce the vibrations and the induced noise on a broad low-frequency band by using a microstructured material by inclusions that are randomly arranged in the material matrix. The dynamical regimes of the inclusions will be imposed in the nonlinear domain in order that the energy be effectively pumped over a broad frequency band around the resonance frequency, due to the nonlinearity. The first step of this work is to design and to analyze the efficiency of an inclusion, which is made up of a hollow frame including a point mass centered on a beam. This inclusion is designed in order to exhibit nonlinear geometric effects in the low-frequency band that is observed. For this first step, the objective is to develop the simplest mechanical model that has the capability to roughly predict the experimental results that are measured. The second step, which is not presented in the paper, will consist in developing a more sophisticated nonlinear dynamical model of the inclusion. In this paper, devoted to the first step, it is proved that the nonlinearity induces an attenuation on a broad frequency band around the resonance, contrarily to its linear behavior for which the attenuation is only active in a narrow frequency band around the resonance. We will present the design in terms of geometry, dimension and materials for the inclusion, the experimental manufacturing of this system realized with a 3D printing system, and the experimental measures that have been performed. We compare the prevision given by the stochastic computational model with the measurements. The results obtained exhibit the physical attenuation over a broad low-frequency band, which were expected.
机译:在低频处,为此,波长宽,声波和机械振动不容易在结构中在宏观尺度通过使用耗散材料,反之到中,高频率范围减小。此工作的最终目标是通过使用微结构化材料由随机布置在材料基质的夹杂物,以减少对一个宽低频带噪声引起的振动和。夹杂物的动力机制将在非线性领域,以便能得到有效的泵在围绕谐振频率宽频带,由于非线性的罚款。这项工作的第一步是设计和分析一个夹杂物,其由一个空心框架包括中心上的光束的点质量的向上的效率。这种夹杂物被设计成在为了显示在被观察到的低频带的非线性几何效应。对于这第一个步骤中,目标是开发具有能力粗略地预测所测量的实验结果的最简单的力学模型。第二步,这是不是在文件中提出,将包括在发展纳入一个更复杂的非线性动力学模型。在本文中,专门用于第一步骤中,证明了非线性引起的衰减周围的共振的宽频带,反之到的量,衰减是仅在围绕谐振窄频带有源其线性行为。我们将目前的设计几何形状,尺寸方面和材料列入,实验制造将该系统与3D打印系统来实现的,并已进行了试验性的措施。我们通过比较与测量的随机计算模型给出的预知。获得的结果显示出在宽的低频带,将其预期的物理衰减。

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