The load distribution and the deflection of rubber-covered pressure rollers running together under pressure are investigated analytically under the assumptions which simplify mathematical treatment. In this series of investigations, the authors deal with the problems exclusively in the case of symmetric bending where the deflections of a pair of pressure rollers are the same.
Basic equations on the bending of covered rollers have been derived by modifying the theory of bending of beams on an elastic foundation. They have been solved for pressure rollers supported at both ends and for those supported at the center. As a result, it is proved that the flexure of covered rollers is determined by two dimensionless parameters which are the ratios of the stiffness of three principal components of mangles.
The theory thus derived is easily extended to explain the flexural behavior of pressure rollers having a multiple-layer covering. The bending of covered rollers which process a sheet of material between them has been investigated as a special case of the mutual contact of two pressure rollers having a multiple-layer covering. It has been revealed that fabrics processed by a conventional mangle have no appreciable effect on the flexure of pressure rollers.
Another application of the theory has been attempted to clarify the effect of end shafts fixed to the ends of the core of conventional type rollers supported at both ends. The presence of end shafts makes the working width of the covered rollers and the distance between the supports unequal, and renders the mangle less rigid. This deterioration of nip uniformity has been calculated and some numerical results are explained.
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