Synthesis of Planar Rigid-Body Mechanisms Approximating Shape Changes Defined by Closed Curves
Document Type
Article
Publication Date
6-2009
Publication Source
Journal of Mechanical Design
Abstract
This paper presents a procedure to synthesize planar linkages, composed of rigid links and revolute joints, that are capable of approximating a shape change defined by a set of closed curves possessing similar arc lengths. The synthesis approach is more rigorous and more broadly applicable to dramatic changes between larger numbers of shapes than existing techniques that employ graphical methods. It specifically addresses the challenges of approximating closed curves, but the methodology is equally applicable to open curves. Link geometry is determined through an existing procedure, and those links are then joined together in a chain using numerical optimization to minimize the error in approximating the shape change. Binary links are added to this chain via a search of the design space, forming a single-degree-of-freedom mechanism in which an actuated link can be driven monotonically to exact the shape change. The procedure is applied to synthesize an example mechanism that changes between circular, elliptical, and teardrop shapes as inspired by an aerodynamic flow field modification application.
Inclusive pages
071006-1 to 071006-7
ISBN/ISSN
1050-0472
Copyright
Copyright © 2009, American Society of Mechanical Engineers
Publisher
American Society of Mechanical Engineers
Volume
131
Issue
7
Peer Reviewed
yes
eCommons Citation
Persinger, Justin A.; Schmiedeler, James P.; and Murray, Andrew P., "Synthesis of Planar Rigid-Body Mechanisms Approximating Shape Changes Defined by Closed Curves" (2009). Mechanical and Aerospace Engineering Faculty Publications. 181.
https://ecommons.udayton.edu/mee_fac_pub/181
Comments
Permission documentation is on file.