Development of a Theoretical Model for the Shear and Compression of Cotton Fiber Mass in the Working Chamber of a Ginning Machine

The article presents the results obtained in the development of a theoretical model for the compression and shear of cotton fiber mass in the working chamber of a ginning machine. The shear stress was established to be independent of the variable and increasing linearly in time. In this case, the particles of the medium located under the ginning plate are subjected to maximum compression, while, according to the accepted model, the compression is directly proportional to the square of the ginning plate velocity and time. After reaching the maximum value of the tangential stress, both the normal displacement of particles in the layer and the degree of the layer compression are revealed to be time independent. In this case, all particles move at a constant velocity along the layer. It is shown that, despite being inversely proportional to the degree of the layer compression, displacement and relative compression do not depend on the sliding velocity of the ginning plate.