Document Type

Article

Publication Date

9-2010

Publication Source

Mechanism and Machine Theory

Abstract

Although a general five-position, rigid-body guidance problem admits a discrete number of revolute–revolute (RR) dyads, this paper identifies arrangements of five task positions that result in a center-point curve. For these special arrangements, a one-dimensional set of revolute-prismatic (RP) dyads exist to achieve the task positions. Other five-position arrangements are identified where a one-dimensional set of prismatic-revolute (PR) dyads exist to achieve the task positions. For a general case of five task positions, neither PR nor RP dyads are possible. In a general case of four-position rigid-body guidance problems, a unique PR dyad and RP dyad exist. Four-position arrangements are identified where the associated center-point curve includes the line at infinity and admits a PR dyad with a line of slide in any direction. Likewise, arrangements of the four positions are identified where the circle-point curve includes the line at infinity, permitting a one-dimensional set of RP dyads. These special four and five positions lead to dyads that can be coupled to solve a rigid-body guidance synthesis problem with a PRRP or RPPR device which is generally not possible. These solutions are particularly useful in design situations where actuation through a prismatic joint is desired.

Inclusive pages

1314–1325

ISBN/ISSN

0094-114X

Document Version

Preprint

Comments

The document available for download, provide here in compliance with publisher policies on self-archiving, is the author's initial manuscript. Some differences may exist between this version and the final published version. As such, researchers wishing to quote directly from it are advised to consult with the version of record or visit an academic library.

Publisher

Elsevier

Volume

45

Issue

9

Peer Reviewed

yes

Link to published version

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