| Summary: | 碩士 === 國立臺灣科技大學 === 機械工程系 === 106 === This study mainly discusses the elastic deformation analysis of roller system for a four-roll mill. By using the influence coefficient method and the Mohr integral method, the effect of the rolling load, the bending force, and the reaction force of the support roll and the work roll are numerically calculated for the rolling process. The iterative method used to determine the actual contact pressure and deflection between the working rollers, backup roller, and rolling strip under the mechanical model of the rolling strip of the four-high mill, when the initial value of the contact pressure is applied on the rollers to produce elastic deformation. Substituting the relative coefficient into the equation of compatibility, the equivalent equation are used repeatedly to obtain the influence coefficient matrix until solution converged. The solve method used by Gaussian elimination to determine the new contact pressure between rollers. Hence, the error of the contact pressure is under allowable range.
The deflection of the work roll surface were solved by half-space model analysis. First, assuming the rolling pressure on metal deformation is evenly distributed along the length of the area, the pointwise deflection on the work roll surface relative to the center is calculated; then, the subtraction the value from the deflection on the work roll surface obtained the numerical results.
In this study, by developing the analytical model of the elastic deformation on roll system, the contact pressure between the backup roll and the work roll can be rapidly calculated in cold rolling process by the iterative method. Because the speed of calculation in this study exceeds extremely the analysis of the finite element method, it is expected that this accurate mode for obtained contact pressure is applied to control the strip shape of the steel during the cold rolling process.
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