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传送带上一片混乱。

Chaos on the conveyor belt.

作者信息

Sándor Bulcsú, Járai-Szabó Ferenc, Tél Tamás, Néda Zoltán

机构信息

Babeş-Bolyai University, Department of Physics, RO-400084 Cluj-Napoca, Romania.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Apr;87(4):042920. doi: 10.1103/PhysRevE.87.042920. Epub 2013 Apr 23.

Abstract

The dynamics of a spring-block train placed on a moving conveyor belt is investigated both by simple experiments and computer simulations. The first block is connected by a spring to an external static point and, due to the dragging effect of the belt, the blocks undergo complex stick-slip dynamics. A qualitative agreement with the experimental results can be achieved only by taking into account the spatial inhomogeneity of the friction force on the belt's surface, modeled as noise. As a function of the velocity of the conveyor belt and the noise strength, the system exhibits complex, self-organized critical, sometimes chaotic, dynamics and phase transition-like behavior. Noise-induced chaos and intermittency is also observed. Simulations suggest that the maximum complexity of the dynamical states is achieved for a relatively small number of blocks (around five).

摘要

通过简单实验和计算机模拟研究了放置在移动传送带上的弹簧 - 滑块链的动力学。第一个滑块通过弹簧连接到外部固定点,由于传送带的拖动作用,滑块经历复杂的粘滑动力学。只有考虑到传送带上表面摩擦力的空间不均匀性(建模为噪声),才能与实验结果达成定性一致。作为传送带速度和噪声强度的函数,该系统表现出复杂的、自组织临界的、有时是混沌的动力学以及类似相变的行为。还观察到噪声诱导的混沌和间歇性。模拟表明,对于相对较少数量的滑块(约五个),动力学状态达到最大复杂性。

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