任意复杂曲面的展平算法及其在五金零件毛坯展开中的应用

中国机械工程 ›› 2008, Vol. 19 ›› Issue (2): 193-195.

任意复杂曲面的展平算法及其在五金零件毛坯展开中的应用

许江平柳玉起杜亭章志兵

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-01-25 发布日期:2008-01-25

Algorithm for Arbitrary Complex Surface Flattening and Its Application in Unfolding Metal Blank

Xu Jiangping Liu Yuqi Du Ting Zhang Zhibing

Received:1900-01-01 Revised:1900-01-01 Online:2008-01-25 Published:2008-01-25

摘要/Abstract

摘要：

提出一种新的任意复杂曲面的展平算法，将其应用于有限元逆算法的初始位移场猜测，从而获得了良好的位移初始解。该算法具有计算快速、求解准确、易于实现、通用性好的特点。详细介绍了曲面展平算法的基本步骤，通过工程实例验证了算法的正确性和精确性。该算法不仅可以应用于冲压成形行业，还能广泛地应用于飞机、汽车、服装设计、玩具设计、制鞋等领域。

关键词: 曲面展平, 毛坯展平, 有限元逆算法, 板料成形

Abstract: A new algorithm for transforming any complex surface into a plane presented herein was applied in finite element inverse approach with initial guess, then the advantageous initial displacement was obtained. This algorithm is characterized by its fast calculation, precision, easy implementation and perfect practice. This paper introduced essential steps of this algorithm in detail, and validated the correctness and precision of this algorithm by large number of double curved surfaces. It is applied in the field of sheet metal forming, and widely applied in the field of aircraft, automobile, costume design, toy-making, shoe-making etc.

Key words: surface flattening, blank development, finite inverse approach, sheet metal forming

中图分类号:

TG382
TP391

许江平, 柳玉起, 杜亭, 章志兵. 任意复杂曲面的展平算法及其在五金零件毛坯展开中的应用[J]. 中国机械工程, 2008, 19(2): 193-195.

Xu Jiangping Liu Yuqi Du Ting Zhang Zhibing.

Algorithm for Arbitrary Complex Surface Flattening and Its Application in Unfolding Metal Blank [J]. China Mechanical Engineering, 2008, 19(2): 193-195.