Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry

Cui, Lei; Dai, J.; Lee, C.

doi:10.1177/0954406214541430

203604_136865_Schatz_JMES_author_draft_02.pdf (1.120Mb)

Access Status

Open access

Authors

Cui, Lei

Dai, J.

Lee, C.

Date

2014

Type

Journal Article

Metadata

Show full item record

Citation

Cui, L. and Dai, J. and Lee, C. 2014. Characteristics of the double-cycled motion-ruled surface of the Schatz linkage based on differential geometry. Journal of Mechanical Engineering Science. [In Press].

Source Title

Journal of Mechanical Engineering Science

DOI

10.1177/0954406214541430

ISSN

09544054

School

Department of Mechanical Engineering

URI

http://hdl.handle.net/20.500.11937/7649

Collection

Curtin Research Publications

Abstract

This paper applies Euclidean invariants from differential geometry to kinematic properties of the ruled surfaces generated by the coupler link and the constraint-screw axes. Starting from investigating the assembly configuration, the work reveals two cycle phases of the coupler link when the input link finishes a full rotation. This leads to analysis of the motion ruled surface generated by the directrix along the coupler link, where Euclidean invariants are obtained and singularities are identified. This work further presents the constraint ruled surface that is generated by the constraint screw axes and unveils its intrinsic characteristics.