计算翻边力的一种新的数学模型  

New Mathematical Model for Flanging Force Calculation

作　　者：胡成武[1] 李文元[1] 占奇锋[1] 彭炎荣[2] 

机构地区：[1]湖南工业大学机械工程学院,株洲412008 [2]湘潭大学机械工程学院,湘潭411105

出　　处：《机械工程学报》2011年第8期116-120,共5页Journal of Mechanical Engineering

基　　金：湖南省'十一五'重点学科和湖南省教育厅科研资助项目(05c514)

摘　　要：准确计算翻边力对于正确选用加工设备、合理设计成形模具、科学制定工艺规程具有重要的理论和实际意义。由于问题的复杂性,按照经验公式或简化模型近似计算的翻边力,降低了计算精度。从力学原理和实际计算精度方面对现有的翻边力的计算方法进行分析,指出原有理论存在的问题,并在考虑变形区厚度变化以及采用幂函数硬化规律的基础上,对翻边力的求解过程进行分析,建立圆孔翻边力的新的数学模型,推导出新的计算公式。为验证新公式的正确性,对外径尺寸相同而内孔尺寸不同的两种带孔圆板坯进行翻边成形试验,所得试验数据与原有公式和新公式的计算数据进行比较。结果表明,相同条件下新公式的计算精度大大提高,考虑的问题更接近实际,理论推导也更加合理。Accurately calculating flanging forming forces has important theoretical and practical significance to the correct selection of processing equipment,rational design of forming dies and scientifically formulating process planning.Because of the complexity of the problem,approximate calculation of the flanging force according to empirical formula or simplified model will reduce the calculation precision.Analysis on the existing methods of flanging force calculation is carried out from the aspects of mechanics principle and calculation precision,the problems in the original theory are pointed out,the solution process of flanging force is analyzed on the basis of considering the thickness variation of deformation zone and adopting the power function hardening law,a new mathematical model of hole flanging force is built and a new calculation formula is derived.In order to verify the correctness of the new formula,flanging forming tests are carried out on two holed circular slabs with same external diameter but different internal diameter,and the obtained test data are compared with the calculated data of the original formula and the new formula.The results show that the new formula greatly improves the calculation accuracy under the same conditions,its consideration of problem is closer to the facts,and its theoretical derivation is more reasonable.

关 键 词：翻边力 幂函数硬化规律 厚度变化 数学模型 

分 类 号：TG386.3[金属学及工艺—金属压力加工]