Trittel Torsten, Puzyrev Dmitry, Stannarius Ralf
Department of Engineering, Brandenburg University of Applied Sciences, D-14770 Brandenburg an der Havel, Germany.
MARS, Otto von Guericke University Magdeburg, D-39106 Magdeburg, Germany.
Phys Rev E. 2024 Mar;109(3-1):034903. doi: 10.1103/PhysRevE.109.034903.
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.
在碰撞过程中，弹跳颗粒与刚性边界之间的能量传递不仅受到材料恢复系数的关键影响，还受到颗粒形状的影响。当这些颗粒通过振动板进行机械搅拌时，这一点尤为重要。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。我们使用它们来测量振动板上立方体和二十面体的动力学，以研究能量转移到受激动物体各个自由度（DOF）中的效率。结果表明，旋转自由度的受激程度远低于垂直平移运动。最值得注意的是，这两种柏拉图立体在绝对能量和能量分配比例方面几乎没有差异。
