Articles | Volume 7, issue 1
https://doi.org/10.5194/ms-7-107-2016
https://doi.org/10.5194/ms-7-107-2016
Research article
 | 
08 Apr 2016
Research article |  | 08 Apr 2016

Solving the double-banana rigidity problem: a loop-based approach

Florian Simroth, Huafeng Ding, and Andrés Kecskeméthy

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Latest update: 16 Nov 2024
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Short summary
The "double-banana" problem is a counter-example of Laman's rigidity condition formula for which existing standard Degree of Freedom counting formulas fail. The novelty of the approach for rigidity detection presented in this paper consists in regarding the structure not as a set of joint-connected bodies but as a set of interconnected loops. By tracking isolated DOFs such as those arising between pairs of spherical joints, rigidity/mobility subspaces can be identified successfully.