Analysis of the Rigid Motion of a Conical Developable MechanismSource: Journal of Mechanisms and Robotics:;2021:;volume( 013 ):;issue: 003::page 031106-1Author:Woodland, McKell
,
Hsiung, Michelle
,
Matheson, Erin L.
,
Safsten, C. Alex
,
Greenwood, Jacob
,
Halverson, Denise M.
,
Howell, Larry L.
DOI: 10.1115/1.4050294Publisher: The American Society of Mechanical Engineers (ASME)
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 article have motion paths that necessarily contain bifurcation points, which lead to an unbounded array of motion paths in the parameterization plane.
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| contributor author | Woodland, McKell | |
| contributor author | Hsiung, Michelle | |
| contributor author | Matheson, Erin L. | |
| contributor author | Safsten, C. Alex | |
| contributor author | Greenwood, Jacob | |
| contributor author | Halverson, Denise M. | |
| contributor author | Howell, Larry L. | |
| date accessioned | 2022-02-05T21:39:42Z | |
| date available | 2022-02-05T21:39:42Z | |
| date copyright | 3/12/2021 12:00:00 AM | |
| date issued | 2021 | |
| identifier issn | 1942-4302 | |
| identifier other | jmr_13_3_031106.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4276084 | |
| description 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 article have motion paths that necessarily contain bifurcation points, which lead to an unbounded array of motion paths in the parameterization plane. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Analysis of the Rigid Motion of a Conical Developable Mechanism | |
| type | Journal Paper | |
| journal volume | 13 | |
| journal issue | 3 | |
| journal title | Journal of Mechanisms and Robotics | |
| identifier doi | 10.1115/1.4050294 | |
| journal fristpage | 031106-1 | |
| journal lastpage | 031106-8 | |
| page | 8 | |
| tree | Journal of Mechanisms and Robotics:;2021:;volume( 013 ):;issue: 003 | |
| contenttype | Fulltext |