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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)749-762
Number of pages14
JournalMechanism and Machine Theory
Volume31
Issue number6
DOIs
Publication statusPublished - 1996 Aug

All Science Journal Classification (ASJC) codes

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

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