| 摘要: |
| 为建立一个预测精度可靠的轧制力模型,根据轧件变形时金属流动的特点提出了一个余弦速度场,并基于该速度场进行了相应的能量解析。该速度场能够严格满足体积不变条件、出入口速度边界条件以及几何方程,较好地满足了运动许可条件。建模过程中,基于分矢量内积加和法导出了轧制内部变形功率,解决了非线性Mises比塑性功率带来的积分问题。同时,基于该速度场也导出了摩擦功率、剪切功率的数学表达式。在此基础之上,依据刚塑性变分原理获得了轧制力能参数的解析模型。利用国内某厂现场轧制数据对建立的轧制力模型进行了验证。结果显示,各道次轧制力预测值与实测值的误差均在7.55%以内,具有较高的精度。将所建模型与经典的Sims模型和Tselikov模型进行了对比,也显示了较好的优越性。此外,为了研究厚板轧制过程中的参数变化规律,本文也先后分析了压下率、形状因子、摩擦因子、径厚比、轧辊半径对应力状态系数和中性点位置的影响。 |
| 关键词: 厚板 轧制力 余弦速度场 解析模型 分矢量内积加和法 |
| DOI：10.11918/202008063 |
| 分类号:TG331 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(52074187,U1960105); 江苏省优秀青年基金(BK20180095) |
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| Modeling of force-energy parameter of thick plate rolling based on a cosine velocity field |
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DENG Lei,ZHANG Shunhu
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(School of Iron and Steel, Soochow University, Suzhou 215021, Jiangsu, China)
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| Abstract: |
| To establish a rolling force model with reliable prediction accuracy, a cosine velocity field was proposed according to the characteristics of metal flow in rolling process, and corresponding energy analysis was carried out based on the proposed velocity field. The proposed velocity field could strictly satisfy the volume constant condition, the boundary condition, and the geometric equation, which indicates that the velocity field can satisfy the kinematically admissible condition well. In the modeling process, the inner product and addition method of vector component was adopted to derive the internal deformation power during rolling, and the integration problem of the nonlinear specific plastic work rate of Mises criterion was solved. In addition, the mathematical expressions of friction power and shear power were derived based on the proposed velocity field. The analytical model of force-energy parameters in rolling process was obtained in terms of the variational principle of rigid-plastic material. The prediction accuracy of the rolling force model was verified by using the measured data from a domestic factory. Comparison results show that the deviations between the predicted rolling force and the measured value were within 7.55%, indicating a high accuracy. The established model was compared with the classic Sims model and Tselikov model, and a good superiority was found. In order to investigate the parameter variation during the rolling process of thick plates, the influences of reduction, shape factor, friction factor, radius-thickness ratio, and roll radius on the stress state coefficient and the position of the neutral point were analyzed. |
| Key words: thick plate rolling force cosine velocity field analytical model inner product and addition of vector component |
