Chaos on the conveyor belt

TL;DR

This study explores the complex, chaotic, and phase transition-like behaviors of a spring-block train on a conveyor belt, emphasizing the role of spatial friction inhomogeneity and noise in the system's dynamics.

Contribution

It introduces a combined experimental and simulation approach to analyze how inhomogeneous friction and noise induce chaos and critical phenomena in a spring-block conveyor system.

Findings

Complex dynamics depend on belt velocity and noise strength.

Maximum chaos occurs with around five blocks.

Noise induces chaos and intermittency.

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 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 only be achieved 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.