Modeling the Shape of the Roll Contact Curves in Two-Roll Modules

Abstract

The study is devoted to mathematical modeling of the shape of the roll contact curves in two-roll modules. A two-roll module is considered, in which the rolls are positioned relative to the vertical with a tilt to the right, have unequal diameters and elastic coatings from the materials of different stiffness and friction coefficients, the material layer is fed with a tilt downward relative to the center line. The equations of the curves of roll contact in the considered two-roll module are derived. It is revealed that the obtained models are general in the sense that they are applicable for particular cases of interaction in a two-roll module.

Mathematical model of the movement of dust-contained air flows in the air filter of hydraulic systems

“…The effect of turbulent air pulsations is shown in (Figure 1) An important characteristic of gas-dispersed flows is the distribution of the concentrations of the dispersed phase. Particle concentration fields were studied within the framework of the model of a quasi-continuous medium of moving particles [7][8][9][10]. The special saturation distribution of the coarsely dispersed aero dust was calculated by integrating the equality of the continuity of the "aerosol" medium along the particle trajectories.…”

Calculation formulas for contact curves of technological machine

“…The shape of the roll contact curve depends on the external forces acting on the roll, the strain properties of the interacting body materials, and the friction properties of surfaces [19][20][21][22][23][24][25][26][27][28].…”

Specific pressure under roller squeezing of leather

“…The working matrix was compiled according to the K. Kano design matrix for a threefactor experiment. After the implementation of the working matrix, the values of the width of the contact area L were obtained (Table 1) [18]. As the basis for the approximation, we will use the technique described in [19], according to which a power dependence is taken in the following form:…”

“…The study in [18] is devoted to experimental research and description of the width of the contact area by the regression model. However, when designing squeezing machines, engineering calculations require simpler dependencies than regression ones.…”

“…However, when designing squeezing machines, engineering calculations require simpler dependencies than regression ones. Proceeding from this, the task was set on the basis of the results given in [18] to describe the width of the contact area and the specific pressure as an empirical function of the main parameters of the roll pressing of leather.…”