The Cylindroid Associated With Finite Motions of the Bennett Mechanism-Reference-Cited by-同舟云学术

The Cylindroid Associated With Finite Motions of the Bennett Mechanism

Published:1997-12-01 Issue:4 Volume:119 Page:521-524
ISSN:1050-0472
Container-title:Journal of Mechanical Design
language:en
Short-container-title:

Author:

Huang C.¹

Affiliation:

1. Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan, R. O. C.

Abstract

The finite kinematic geometry of the Bennett mechanism is explored in this paper. The screw axes of all possible coupler displacements of the mechanism from any given configuration are shown to form a cylindroid. The screw system of the coupler displacement is obtained by using the intersection of finite screw systems associated with two corresponding revolute-revolute dyads. Inverse finite kinematic analysis is also performed to verify this new linear property of the Bennett mechanism.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Link

http://asmedigitalcollection.asme.org/mechanicaldesign/article-pdf/119/4/521/5600296/521_1.pdf

Reference13 articles.

1. Baker J. E. , 1988, “The Bennett Linkage and its Associated Quadric Surfaces,” Mechanism and Machine Theory, Vol. 23, pp. 147–156.

2. Bennett G. T. , 1903, “A New Mechanism,” Engineering, Vol. 76, pp. 777–778.

3. Duffy J. , 1990, “The Fallacy of Modern Hybrid Control Theory That Is Based on “Orthogonal Complements” of Twist and Wrench Spaces,” Journal of Robotic Systems, Vol. 7, No. 2, pp. 139–144.

4. Huang C. , 1994a, “On the Finite Screw System of the Third Order Associated with a Revolute-Revolute Chain,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 116, pp. 875–883.

5. Huang, C., 1994b, “Notes on Screw Product Operations in the Formulations of Successive Finite Displacements,” Mechanism Synthesis and Analysis. Proc. 1994 ASME Design Technical Conf., Minneapolis, Minnesota, Sept. 11-14, pp. 459–465.

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