On the break-ups of spherical centre- and circle-point curves of the PP-PP case

Deng Maw Lu, Chi Feng Chang, Wen Miin Hwang

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

With a pole and two instant centres specified on a unit sphere, a geometrical construction is proposed to determine the spherical centre- and circle-points. The explicit equations of the corresponding spherical centre- and circle-point curves of the PP-PP case are thus obtained by using spherical trigonometry. All break-ups of these spherical centre- and circle-point curves are directly generated from the explicit equations. Through an exhaustive search, it was found that there are four kinds of degenerated curves, i.e. (1) two points and a great circle, (2) two spherical ellipses and a great circle, (3) three orthogonal great circles and (4) a sphere. Two design examples are presented.

原文English
頁(從 - 到)749-762
頁數14
期刊Mechanism and Machine Theory
31
發行號6
DOIs
出版狀態Published - 1996 八月

All Science Journal Classification (ASJC) codes

  • Bioengineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications

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