Open AccessLoad–Displacement Characterization in Three Degrees-of-Freedom for General Lamina Emergent Torsion Arrays
Author(s) -
Nathan A. Pehrson,
Pietro Bilancia,
Spencer P. Magleby,
Larry L. Howell
Publication year - 2020
Publication title -
journal of mechanical design
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.911
H-Index - 120
eISSN - 1528-9001
pISSN - 1050-0472
DOI - 10.1115/1.4046072
Subject(s) - torsion (gastropod) , stiffness , finite element method , rotation (mathematics) , serial manipulator , degrees of freedom (physics and chemistry) , computer science , structural engineering , displacement (psychology) , mathematics , geometry , engineering , physics , classical mechanics , kinematics , parallel manipulator , medicine , surgery , quantum mechanics , psychology , psychotherapist
Lamina emergent torsion (LET) joints for use in origami-based applications enables folding of panels. Placing LET joints in series and parallel (formulating LET arrays) opens the design space to provide for tunable stiffness characteristics in other directions while maintaining the ability to fold. Analytical equations characterizing the elastic load–displacement for general serial–parallel formulations of LET arrays for three degrees-of-freedom are presented: rotation about the desired axis, in-plane rotation, and extension/compression. These equations enable the design of LET arrays for a variety of applications, including origami-based mechanisms. These general equations are verified using finite element analysis, and to show variability of the LET array design space, several verification plots over a range of parameters are provided.
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