Analysis of Effect of Tension in Bar Rolling by Energy Method using Finite-Element Division

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In bar rolling, a bar is usually formed by applying front and back tensions; thus, it is important to analyze the effects of the front and back tensions on the rolling properties. Futhermore, it is also important for precise rolling to confirm the control equation coefficients, that is, the ratios of the variations of the rolling properties, such as the width spread, forward slip, load and torque, to the changes of the tensions. In this paper, the analysis was performed by the energy method using the finite-element division, which we proposed previously. First, the effects of the tensions on the rolling properties were proved reasonable by the comparison with the experimental formulas. Next, the control equation coefficients for the torque were obtained approximately using the results obtained when no tension was applied. Finally, it was found that as the roll radius increases, the control equation coefficients for all of the rolling properties decrease.

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