• CN:11-2187/TH
  • ISSN:0577-6686

›› 1979, Vol. 15 ›› Issue (2): 65-72.

• 论文 • 上一篇    下一篇

共轭曲面原理中的界限曲线、奇异解、补充共轭曲面与曲面的共轭性分析

陈志新   

  • 发布日期:1979-03-01

BOUNDARY CURVES, SINGULAR SOLUTIONS, COMPLEMENTARY CONJUGATE SURFACES AND CONJUGTION ANALYSIS IN THEORY OF CONJUGATE SURFACES

Chen Zhixin   

  • Published:1979-03-01

摘要: 本文讨论了两种界限曲线,即共轭界限和曲率干涉界限曲线。区分和研究了共轭曲率问题中的五种类型的奇异解,即脊点型,面性接触型,不定型、固定型和准面性接触型。此外,还解释了对应于两种界限曲线的两类补充共轭曲面。最后,在本文中介绍了确定曲面在共轭接触中的特性的一种新的分析程序,即曲面的共轭性分析。

Abstract: Two kinds of boundry curves, I.e. boundary curve for conjugation and boundary curve for curvatural interference, are discussed in this paper. Five types of singular solutions in conjugate curvatures, I. E, cusp-point type, surf acial-contact type, indefinite type, stationary type and hypo-surfacial-contact type, are denominated and studied. Furthermore, two kinds of complementary conjugate surfaces, which correspond with the two kinds of boundary curves, are commented. Finally, a new analytical process for the determination of the characteristics of a surface in conjugation, I. E, the conjugatiou-analysis, is described in this paper.