锻压技术

模面设计中复杂曲面G1稳定延伸算法

英文标题：G1 stable extension algorithm on complex surface in die surface design

作者：姚兵柳玉起章志兵王振张希磊

分类号：TG386.3; TP319

出版年,卷(期):页码：2024,49(8):47-52

摘要：

提出一种基于边界特征的复杂曲面延伸算法和基于曲面跨界切向的双向蒙皮曲面方法，实现了复杂曲面稳定的G1延伸创建。该算法通过利用边界特征实现延伸曲面与原始曲面保持随形，提高了曲面质量。采用蒙皮曲面和填充曲面混合方式分段构造延伸曲面，解决了复杂曲面延伸容易产生的重叠、褶皱等问题，提高了曲面延伸的稳定性。提出了基于曲面跨界切向的双向蒙皮曲面方法，保证了延伸边界处曲面的G1连续性。基于NX平台开发了边界延伸功能，实现了模具曲面边界的自动化延伸。经实际测试，该算法具有稳定可靠、自动化程度高、曲面质量好的优点，可有效缩短整个模面的设计周期。

A complex surface extension algorithm based on boundary features and a bidirectional skinning surface method based on boundary derivatives were proposed, and the stable creation of G1 extension for complex surface was achieved. Then, the algorithm realizes the conformal relationship between extension surface and original surface by using boundary features, and the quality of surface is improved greatly. Furthermore, the extension surfaces in segments are constructed by the hybrid strategy of skin and fill surfaces to overcome the problems of overlapping and wrinkling that were prone in the complex surface extension, and the stability of extension surface is greatly improved. In addition, the bidirectional skinning surface method based on boundary derivatives was proposed to ensure G1 continuity of surface at the extension boundary. Based on platform NX, the boundary extension function was developed, and the automatic extension of die surface boundary was realized. The actual test results show that the proposed algorithm has the advantages of stability, reliability, high degree of automation, and good surface quality, which can effectively shorten the design cycle of the entire die surface.

基金项目：

作者简介：姚兵(1999-),男,硕士研究生 E-mail：m202171022@hust.edu.cn 通信作者：章志兵(1978-),男,博士，副教授 E-mail：zhangzb@hust.edu.cn

参考文献：

[1]徐家川, 范萍萍, 李迪. 汽车车身A面的基本曲面边界问题研究[J]. 汽车技术, 2013,44(6):35-38.

Xu J C, Fan P P, Li D. A study on base surface boundary problem for auto-body class a surfaces[J]. Automobile Technology, 2013,44(6):35-38.

[2]崔令江. 汽车覆盖件冲压成型技术[M]. 北京:机械工业出版社, 2003.

Cui L J. Stamping and Forming Technology of Automobile Covering Parts[M]. Beijing: China Machine Press, 2003.

[3]周宇, 王小平, 张乐恩, 等. 网格化复杂曲面延拓算法研究[J]. 机械科学与技术,2020,39(12):1963-1968.

Zhou Y, Wang X P, Zhang L E, et al. Study on extension algorithm of complex mesh surface[J]. Mechanical Science and Technology for Aerospace Engineering, 2020, 39(12):1963-1968.

[4]姜坤, 周雄辉, 黎旻, 等. 检具设计中延伸曲面修补方法[J]. 上海交通大学学报,2011,45(11):1720-1724,1730.

Jang K, Zhou X H, Li M, et al. Extension surface reparation in checking fixture design[J]. Journal of Shanghai Jiaotong University, 2011, 45(11):1720-1724,1730.

[5]Shetty S, White P R. Curvature-continuous extensionsfor rational B-spline curves and surfaces[J]. Computer-Aided Design, 1991, 23(7):484-491.

[6]余正生, 雷毅. NURBS 曲线曲面延伸[J]. 工程图学学报, 1997,18(1):7-18.

Yu Z S, Lei Y. Extensions for NURBS curves and surfaces[J]. Journal of Engineering Graphics, 1997, 18(1):7-18.

[7]刘辉强, 安鲁陵. 一种基于边界信息的曲面延拓方法[J]. 机械制造与自动化, 2018, 47(4):25-28.

Liu H Q, An L L. Surface extension method based on boundary information[J]. Machine Building & Automation, 2018, 47(4):25-28.

[8]何龙, 安鲁陵, 王小平, 等. 曲面延拓技术及其应用[J]. 航空制造技术, 2015, 58(15):39-41.

He L, An L L, Wang X P, et al. Surface extension technology and its application[J]. Aeronautical Manufacturing Technology, 2015, 58(15):39-41.

[9]王远峰, 卫炜, 孙建华, 等. 模具型面设计中曲面快速延拓技术研究[J]. 机械设计与制造工程, 2014,43(4):25-31.

Wang Y F, Wei W, Sun J H, et al. Research on the surface rapid extension technology in mold surface design[J]. Machine Design and Manufacturing Engineering, 2014,43(4):25-31.

[10]赵翔宇. 基于NX平台的汽车覆盖件包边曲面自动展开算法研究和开发[D]. 武汉:华中科技大学, 2022.

Zhao X Y. Research and Development on NX-based Automatic Unfolding Algorithm for Hemming Surface of Automotive Panels[D]. Wuhan: Huazhong University of Science and Technology, 2022.

[11]施法中. 计算机辅助几何设计与非均匀有理 B 样条[M]. 北京:高等教育出版社, 2013.

Shi F Z. CAGD & NURBS [M]. Beijing: Higher Education Press, 2013.

[12]Piegl L, Tiller W. The NURBS Book[M]. Berlin: Springer Science & Business Media, 1996.

[13]Rice J R. Algorithm-adapt, adaptive smooth curve fitting[J]. ACM Transactions on Mathematical Software, 1975,4(1):82-94.

服务与反馈：

【文章下载】【加入收藏】