Keywords
Rigid motion, conical, developable mechanisms, mechanical engineering
Abstract
We demonstrate analytically that it is possible to construct a developable mechanism on a cone that has rigid motion. We solve for the paths of rigid motion and analyze the properties of this motion. In particular, we provide an analytical method for predicting the behavior of the mechanism with respect to the conical surface. Moreover, we observe that the conical developable mechanisms specified in this paper have motion paths that necessarily contain bifurcation points which lead to an unbounded array of motion paths in the parameterization plane.
Original Publication Citation
Woodland, M., Hsiung, M., Matheson, E., Safsten, A., Greenwood, J., Halverson, D.M., Howell, L.L., “Analysis of the Rigid Motion of a Developable Conical Mechanism,” Journal of Mechanisms and Robotics, https://doi.org/10.1115/1.4050294, Vol 13, 031106-1 to 031106-8, 2021
BYU ScholarsArchive Citation
Woodland, McKell; Hsiung, Michelle; Matheson, Erin L.; Safsten, C Alex; Greenwood, Jacob; Halverson, Denise M.; and Howell, Larry L., "Analysis of the Rigid Motion of a Conical Developable Mechanism" (2023). Faculty Publications. 6573.
https://scholarsarchive.byu.edu/facpub/6573
Document Type
Peer-Reviewed Article
Publication Date
2023-03-06
Publisher
Journal of Mechanisms and Robotics
Language
English
College
Ira A. Fulton College of Engineering
Department
Mechanical Engineering
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