摩擦力与结构不对称性在旋转棱镜非互易动力学中的相互作用
Interplay of Friction and Structural Asymmetry in Non-Reciprocal Dynamics of a Rolling Prism
摘要:
我们研究了六棱柱在地板上滚动的动力学如何随着摩擦力和结构不对称性而变化。结果表明,不对称性诱导的非互易动力学的棱镜滚动只在一个方向上,无论初速度的方向。虽然这种行为主要是抑制增加摩擦,我们观察到,有一定范围的摩擦系数的非互易性恢复。这表明摩擦力不仅减弱了动力学,而且还通过对棱镜施加扭矩来辅助动力学。
英文摘要:
We investigate how the dynamics of a hexagonal prism rolling on a floor change with friction and structural asymmetry. It is shown that the asymmetry induces the non-reciprocal dynamics where the prism rolls only in one direction regardless of the direction of the initial velocity. While such behavior is primarily suppressed with increasing friction, we observe that there is a certain range of friction coefficient where the non-reciprocity is restored. This suggests that the friction not only diminishes the dynamics, but also assists it by exerting a torque to the prism.
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