Closed-form position analysis of variable geometry trusses
10.1016/j.mechmachtheory.2016.11.004
Inclou dades d'ús des de 2022
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hdl:2117/116539
Tipus de documentArticle
Data publicació2017-03-01
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Abstract
Variable geometry trusses are composed, in general, of unit cells which can be modeled as bars connected by spherical joints. Under mild conditions, it has been shown that the only feasible cells are topologically equivalent to bipyramids. Unfortunately, using standard formulations, the closed-form position analysis of bipyramids is not a trivial task. Actually, it has only been achieved for bipyramids with up to 7 vertices, whose closure polynomial has been shown to be of order 24. In this paper, using a distance-based formulation and a kinematic inversion for fans of tetrahedra, the problem is solved for bipyramids with up to 11 vertices, whose closure polynomial is of degree 896. No other position analysis problem leading to such a high-order closure polynomial has been previously solved.
Descripció
© <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
CitacióPorta, J., Thomas, F. Closed-form position analysis of variable geometry trusses. "Mechanism and machine theory", 1 Març 2017, vol. 109, p. 14-21.
ISSN0094-114X
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S0094114X16304906
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