基于上限法的大钢管挤压力理论计算

THEORETICAL COMPUTATION ON THE EXTRUSION OF LARGE SCALE STEEL PIPE BASED ON UPPER BOUND METHOD

  • 摘要: 该文的目的在于在新的球坐标系下,利用上限法重新推导钢管挤压力的计算公式,并用有限单元法对大钢管的挤压力进行验证,以为挤压机公称吨位的确定提供依据。研究中发现,当挤压比小于4时,理论计算与有限元模拟结果比较接近,误差小于10%;当挤压比大于5时,二者误差在20%以内。因此,该公式比较适合于挤压比不大于4的厚壁钢管挤压力预测。大尺寸钢管挤压时,固定芯轴结构的挤压力与随动芯轴相差不大;小尺寸钢管挤压时,随动芯轴结构明显大于固定芯轴的挤压力。另外,与其他挤压力计算公式相比,该文所推公式的计算误差更小。

     

    Abstract: The extrusion force of a steel pipe is computed under a kind of a new polar coordinate system by the basis of upper bound method. The theoretical formulas for large scale steel pipes are proved by FEA method. One purpose of this paper is providing some bases for a specified load of extrusion press. When the extrusion ratio is less than 4, the deviations between theoretical results and FEA results are less than 10%. When the extrusion ratio is greater than 5, the deviations are less than 20%. Therefore the theoretical formulas are relatively adapted to predict the extrusion of steel pipes which have the extrusion ratio less than 4. For the large scale steel pipes, the extrusion force of a stationary mandrel structure is nearly equal to that of a following mandrel. On the contrary, for the small scale steel pipes, the extrusion force of a following mandrel obviously surpasses that of a stationary mandrel structure. Compared with other computational formulas on extrusion forces, the formulas in the paper are more accurate.

     

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