论文标题

在低约束压力下颗粒状包装中的声波

Acoustic Waves in Granular Packings at Low Confinement Pressure

论文作者

Tell, Karsten, Dreißigacker, Christoph, Tchapnda, Alberto Chiengue, Yu, Peidong, Sperl, Matthias

论文摘要

颗粒堆积的弹性特性显示非线性行为由其离散结构和非线性粒间力定律决定。声波显示从恒定的,压力依赖的声速到具有振幅确定的传播速度的冲击波的过渡。在低静态限制压力下,随着瞬态状态转移到较低的静压幅度下的较低波幅度时,这变得越来越明显。在微重力上,限制压力可能比基于地面实验的数量级低。同样,缺乏静液压梯度可以使更多均匀和各向同性的压力分布。我们提出了一种在如此低填充压力下进行声波传递测量的新型设备。压力控制环由微控制器实现,该微控制器可以监视静态力传感器读数,并用线性电动机调整可移动壁的位置,直到达到所需的压力为止。使用嵌入在颗粒堆中的加速度计以及压电的加速度计,可以测量声波。为了激发,我们使用语音线圈驱动的墙,具有各种信号形状,频率和振幅。这使实验在线性和强烈的非线性方案中进行了实验。

Elastic properties of a granular packing show nonlinear behavior determined by its discrete structure and nonlinear inter-grain force laws. Acoustic waves show a transition from constant, pressure-dependent sound speed to a shock-wave like behavior with amplitude-determined propagation speed. This becomes increasingly visible at low static confinement pressure as the transient regime shifts to lower wave amplitudes for lower static pressure. In microgravity, confinement pressure can be orders of magnitude lower than in a ground based experiment. Also, the absence of hydrostatic gradients allows for much more homogeneous and isotropic pressure distribution. We present a novel apparatus for acoustic wave transmission measurements at such low packing pressures. A pressure control loop is implemented by a microcontroller that monitors static force sensor readings and adjusts the position of a movable wall with a linear motor until the desired pressure is reached. Measurements of acoustic waves are possible using accelerometers embedded in the granular packing as well as piezos. For excitation we use a voice coil-driven wall, with a large variety of signal shapes, frequencies and amplitudes. This enables experiments both in the linear and strongly nonlinear regime.

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