Developable mechanisms on developable surfaces
- 20 February 2019
- journal article
- research article
- Published by American Association for the Advancement of Science (AAAS) in Science Robotics
- Vol. 4 (27)
- https://doi.org/10.1126/scirobotics.aau5171
Abstract
The trend toward smaller mechanism footprints and volumes, while maintaining the ability to perform complex tasks, presents the opportunity for exploration of hypercompact mechanical systems integrated with curved surfaces. Developable surfaces are shapes that a flat sheet can take without tearing or stretching, and they represent a wide range of manufactured surfaces. This work introduces “developable mechanisms” as devices that emerge from or conform to developable surfaces. They are made possible by aligning hinge axes with developable surface ruling lines to enable mobility. Because rigid-link motion depends on the relative orientation of hinge axes and not link geometry, links can take the shape of the corresponding developable surface. Mechanisms are classified by their associated surface type, and these relationships are defined and demonstrated by example. Developable mechanisms show promise for meeting unfilled needs using systems not previously envisioned.Keywords
Funding Information
- National Science Foundation (1663345)
- National Science Foundation (1247046)
This publication has 39 references indexed in Scilit:
- An Extensible Continuum Robot With Integrated Origami Parallel ModulesJournal of Mechanisms and Robotics, 2016
- Origami of thick panelsScience, 2015
- Design and development of planar reconfigurable motion generatorsMechanics Based Design of Structures and Machines, 2015
- Programmable motion of DNA origami mechanismsProceedings of the National Academy of Sciences of the United States of America, 2015
- A method for building self-folding machinesScience, 2014
- Origami-Inspired Integrated Planar-Spherical Overconstrained MechanismsJournal of Mechanical Design, 2014
- A compact low-stiffness six degrees of freedom compliant precision stagePrecision Engineering, 2012
- An Introduction to Multilayer Lamina Emergent MechanismsJournal of Mechanical Design, 2011
- Lamina Emergent Mechanisms and Their Basic ElementsJournal of Mechanisms and Robotics, 2009
- Kinematic Representations of Pop-Up Paper MechanismsJournal of Mechanisms and Robotics, 2009