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Designing folding rings using polynomial continuation

Viquerat, AD and Guest, SD (2013) Designing folding rings using polynomial continuation Journal of Mechanisms and Robotics, 6 (1).

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© 2014 by ASME.Two types of foldable rings are designed using polynomial continuation. The first type of ring, when deployed, forms regular polygons with an even number of sides and is designed by specifying a sequence of orientations which each bar must attain at various stages throughout deployment. A design criterion is that these foldable rings must fold with all bars parallel in the stowed position. At first, all three Euler angles are used to specify bar orientations, but elimination is also used to reduce the number of specified Euler angles to two, allowing greater freedom in the design process. The second type of ring, when deployed, forms doubly plane-symmetric (irregular) polygons. The doubly symmetric rings are designed using polynomial continuation, but in this example a series of bar end locations (in the stowed position) is used as the design criterion with focus restricted to those rings possessing eight bars.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mechanical Engineering Sciences
Authors :
Guest, SD
Date : 27 December 2013
DOI : 10.1115/1.4025857
Copyright Disclaimer : Copyright 2013 American Society of Mechanical Engineers
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 13:23
Last Modified : 16 Jan 2019 18:44

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