Abstract

In this article, a model of the interaction between the jaw of a vibratory jaw crusher with the rock under processing in the form of a lump material is considered. To describe the motion of the rock and its sequential fracture into finer fragments, the crushing chamber is divided into zones of equal height. In each current zone, the material to be processed breaks into smaller fractions after a definite number of loading cycles and is then moved to the next zone where it is crushed further. The material being crushed in the current zone is described by a phenomenological model that considers the viscoelastic properties and reproduces the process of the sequential fracture of the material under processing upon multiple compressions. Differential equations of the jaw movements have been derived that consider the layer-by-layer interaction with the rock under processing. The amplitudes of the vibrations of the jaw with time and the distribution of the forces over the length of the jaw have been analyzed.

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