ALGORITHM OF GENERATING THE TRACKING LOCUS

OF THE TANGENT POINT FOR NC ROTARY

STRETCH-BENDING FORMER

Wang Yongjun  Huang Yunhua  Wang Junbiao  Wei Shengmin

(Key Laboratory of Ministry of Education for Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical

University, Xi’an 710072)

Hui Xiaopeng

(Xi’an Aircraft Industry Group Co., Ltd., Xi’an 710089)

Abstract: A geometric model of the movement relation in the forming process is established. A numerical solution that can calculate the locus of the tangent point of any convex curve shape of die is deduced, and the relation curves of the location of the tangent point and the rotation angle of the rotary is obtained, which provides the precise controlling foundation for tracking the tangent point automatically. And based on the optimum target that the maximum slope of the tangent point must be minimum, a more reasonable mounting location of the die is worked out, which satisfies the constraint conditions of the movement range of the lateral pressure wheel, the maximum swing angle of the main cylinder, and the distance from the collet of the supplementary cylinder to the center of the rotary. Meanwhile a general calculation program has been developed with VC. The result shows that the algorithm is steady, which has high efficiency and precision, and is adaptive to convex dies.

Key words: Rotary stretch-bending former  Locus of the tangent point  Numerical calculation  Algorithm

CLC No: TH113

国家863机器人主题基金(2001AA421130)和航空基金(03H53049)资助项目. Received 20041020, received in revised form 20050221