The energy transfer between bouncing particles and rigid boundaries during impacts is crucially influenced not only by restitution coefficients of the material but also by particle shapes. This is particularly important when such particles are mechanically agitated with vibrating plates. Inertial measurement units are able to measure all acceleration and rotational velocity components of an object and store these data for subsequent analysis. We employ them to measure the dynamics of cubes and icosahedra on vibrating plates to study the efficiency of energy transfer into the individual degrees of freedom (DOFs) of the excited object. The rotational DOFs turn out to be much less excited than the vertical translational motion. Most remarkably, there is only little difference between the two Platonic solids in both the absolute energies and the energy partition ratios.

中文翻译：

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柏拉图固体在振动板上弹跳

撞击过程中弹跳颗粒和刚性边界之间的能量传递不仅受到材料恢复系数的重要影响，而且还受到颗粒形状的影响。当用振动板机械搅拌此类颗粒时，这一点尤其重要。惯性测量单元能够测量物体的所有加速度和旋转速度分量，并存储这些数据以供后续分析。我们用它们来测量振动板上的立方体和二十面体的动力学，以研究能量转移到受激物体的各个自由度（DOF）的效率。结果表明，旋转自由度比垂直平移运动的激励要低得多。最值得注意的是，两种柏拉图固体在绝对能量和能量分配比方面几乎没有差异。