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Rolling With Simplified Stream Function Velocity and Strain Rate Vector Inner Product

ZHAO De-wen , ZHANG Shun-hu , LI Can-ming , SONG Hong-yu , WANG Guo-dong

钢铁研究学报(英文版)

The dual-stream function velocity field is reduced in order to analyze two-dimensional plate broadside rolling in roughing. The strain rate vector inner product and integral mean value theorem, as well as co-line vector inner product are used respectively in plastic deformation power, friction losses and shear power. A theoretical solution of roll torque and separating force for the rolling is obtained and the calculated results by the solution are compared with those measured in broadside rolling on-line. It shows that both the force and torque calculated are higher than those of measured, but the maximum relative error between them is no more than 11%.

关键词: broadside rolling , roll separating force , strain rate vector , inner product , analytical solution

Linear Integral Analysis of Bar Rough Rolling by Strain Rate Vector

DENG Wei , ZHAO De-wen

钢铁研究学报(英文版)

A new linear integral method for bar hot rolling on roughing train was obtained. Above all, for inner deformation power, equivalent strain rate about Kobayashi’s three-dimensional velocity field was expressed by two-dimensional strain rate vector then inverted it into inner product and integrated term by term. During those processes, boundary equations and mean value theorem were introduced; but solution by definite integral was applied to integral procedure for friction and shear power. Then minimized the total upper bound power, and sequentially, analytical expressions of roll torque and separating force, and stress state factor were obtained. The calculated results by the expressions were compared with those of experimental values. The results show that this new linear integral method is available for analysis of bar rough rolling and the calculated results by the method are higher than those of experimental ones. However, the maximum error percentage between them is less than 10%.

关键词: bar rough rolling;linear integral;strain rate vector;roll separating force

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