本文按Ritz法求解最小能量方程,确定在直线及圆弧侧壁圆孔型中轧管时,变形区内金属的三维位移和应变函数。应用能量平衡原理,按三维变形导出轧制力能参数的计算公式.经冷轧铝管及热轧钢管的实验验证,理论计算值与实测值较为接近,此公式可以在工程计算中应用。
Both three dimensional displacement and the strain function of metal in the deformation zone of continuous tube rolling under the condition of straight line and circular arc side wall pass were confirmed by Ritz's method to solve the minimum energy equation. The calculational formula of rolling pressure and moment was deduced by the three dimensional deformation analysis using the energy equilibrium principle. The experiments in cold rolling Al tube and hot roiling steel tube verified that the theoretically calculated value is identical with measured one, Thus, this formula seems to be available to the engineering practice.
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