基于傅里叶描述子的预成形设计  

Preforming design based on Fourier descriptor

作　　者：黄超群[1] 来飞 Huang Chaoqun;Lai Fei(Institute of Intelligent Manufacturing and Automotive,Chongqing Technology and Business Institute,Chongqing 401520,China;Vehicle Engineering Institute,Chongqing University of Technology,Chongqing 400054,China)

机构地区：[1]重庆工商职业学院智能制造与汽车学院,重庆401520 [2]重庆理工大学车辆工程学院,重庆400054

出　　处：《锻压技术》2020年第6期16-22,共7页Forging & Stamping Technology

基　　金：重庆工商职业学院科研项目资助(ZD2016-01)。

摘　　要：为了解决轴对称锻件的预成形设计问题,提出了一种基于傅里叶变换理论的预成形设计方法。在此设计方法中,预制坯的形状可以使用初始坯料形状和终锻件的形状在傅里叶空间进行加和,并且可以通过控制加和的权重系数来控制预制坯形状对终锻件的逼近程度。将初始坯料形状和终锻件形状进行傅里叶变换,可将欧氏空间中的平面轮廓形状转化为傅里叶空间中的傅里叶描述子,将初始坯料形状和终锻件形状的傅里叶描述子加权相加后进行傅里叶逆变换,以生成的新形状作为预制坯的形状。最后,用一个轴对称锻件对算法进行测试,测试结果表明:锻件填充完整、等效应变均匀,没有折叠等缺陷。In order to solve the preforming design problem of axisymmetric forgings,the preforming design method based on Fourier transform theory was proposed.In this design method,the shapes of preform billet was added in Fourier space by the shapes of initial billet and final forging,and the similar degree of preform billet shape to final forgings was controlled by controlling the weight coefficient of addition.Then,the Fourier transformation of the initial billet shape and the final forging shape was conducted by converting the plane contour shape in Euclidean space into the Fourier descriptors in Fourier space,and after the weighted addition of the Fourier descriptors for the initial billet shape and the final forging shape,the inverse Fourier transform was performed to generate the new shape,which was used as the preform billet shape.Finally,an axisymmetric forging was used to test the algorithm.The test results show that the forging fills perfectly,the equivalent strain is uniform,and there are no folding and other defects.

关 键 词：傅里叶变换 预成形设计 傅里叶描述子 形状叠加 轴对称锻件 

分 类 号：TG312[金属学及工艺—金属压力加工]