A closed-form solution for the kinematics of asymmetric miura vertices

S Kamrava, C Liu, AQ Orlofsky, A Vaziri… - arXiv preprint arXiv …, 2020 - arxiv.org
arXiv preprint arXiv:2001.07657, 2020arxiv.org
The Miura vertex is a versatile origami pattern found in a variety of mechanisms. Previous
papers have derived and validated a closed-form solution for the kinematics of a symmetric
Miura vertex, but the motion of an asymmetric vertex has only been shown numerically. In
this paper, we present the trigonometric derivation of a closed-form solution for the folding of
an asymmetric Miura vertex.
The Miura vertex is a versatile origami pattern found in a variety of mechanisms. Previous papers have derived and validated a closed-form solution for the kinematics of a symmetric Miura vertex, but the motion of an asymmetric vertex has only been shown numerically. In this paper, we present the trigonometric derivation of a closed-form solution for the folding of an asymmetric Miura vertex.
arxiv.org
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