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Equilibria and bifurcations of a foldable paper-based spring inspired by Kresling-pattern origami.
Phys Rev E. 2019 Dec; 100(6-1):063001.PR

Abstract

Origami-inspired design has recently emerged as a major thrust area of research in the fields of science and engineering. One such design utilizes Kresling-pattern origami to construct nonlinear springs that can act as mechanical bit memory switches, wave guides, fluidic muscles, and vibration isolators. The main objective of this work is to characterize the static equilibria of such springs, their stability, and bifurcations as the geometric parameters of the Kresling pattern are varied. To this end, a mathematical model which assumes that the different panels can be represented by axially deformable truss elements is adopted. The adopted model demonstrates that the shape of the potential energy of the spring is very sensitive to changes in its geometric parameters. This causes the static configuration to undergo several bifurcations as one or more of the geometrical parameters are varied. In particular, it is shown that the geometric parameter space of the Kresling pattern can be divided into five regions, each of which results in a qualitatively different spring behavior. Results of the axial truss model are verified experimentally demonstrating that, for the most part, the model is capable of predicting the loci and bifurcations of the spring's equilibria. Nevertheless, it is also observed that, away from the equilibrium points, the quasistatic behavior of the spring is not well-approximated by the axial truss model. To overcome this issue, a modified model is developed which accounts for (i) the rotary stiffness of the creases, (ii) self avoidance due to panel contact at small angles between the panels, and (iii) buckling of the creases under compressive loads. It is shown that the modified model is capable of providing a better overall qualitative approximation of the quasistatic behavior.

Authors+Show Affiliations

Laboratory of Applied Nonlinear Dynamics (LAND), Engineering Division, New York University, Abu Dhabi, UAE.Laboratory of Applied Nonlinear Dynamics (LAND), Engineering Division, New York University, Abu Dhabi, UAE.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

31962498

Citation

Masana, Ravindra, and Mohammed F. Daqaq. "Equilibria and Bifurcations of a Foldable Paper-based Spring Inspired By Kresling-pattern Origami." Physical Review. E, vol. 100, no. 6-1, 2019, p. 063001.
Masana R, Daqaq MF. Equilibria and bifurcations of a foldable paper-based spring inspired by Kresling-pattern origami. Phys Rev E. 2019;100(6-1):063001.
Masana, R., & Daqaq, M. F. (2019). Equilibria and bifurcations of a foldable paper-based spring inspired by Kresling-pattern origami. Physical Review. E, 100(6-1), 063001. https://doi.org/10.1103/PhysRevE.100.063001
Masana R, Daqaq MF. Equilibria and Bifurcations of a Foldable Paper-based Spring Inspired By Kresling-pattern Origami. Phys Rev E. 2019;100(6-1):063001. PubMed PMID: 31962498.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Equilibria and bifurcations of a foldable paper-based spring inspired by Kresling-pattern origami. AU - Masana,Ravindra, AU - Daqaq,Mohammed F, PY - 2019/05/15/received PY - 2020/1/23/entrez PY - 2020/1/23/pubmed PY - 2020/1/23/medline SP - 063001 EP - 063001 JF - Physical review. E JO - Phys Rev E VL - 100 IS - 6-1 N2 - Origami-inspired design has recently emerged as a major thrust area of research in the fields of science and engineering. One such design utilizes Kresling-pattern origami to construct nonlinear springs that can act as mechanical bit memory switches, wave guides, fluidic muscles, and vibration isolators. The main objective of this work is to characterize the static equilibria of such springs, their stability, and bifurcations as the geometric parameters of the Kresling pattern are varied. To this end, a mathematical model which assumes that the different panels can be represented by axially deformable truss elements is adopted. The adopted model demonstrates that the shape of the potential energy of the spring is very sensitive to changes in its geometric parameters. This causes the static configuration to undergo several bifurcations as one or more of the geometrical parameters are varied. In particular, it is shown that the geometric parameter space of the Kresling pattern can be divided into five regions, each of which results in a qualitatively different spring behavior. Results of the axial truss model are verified experimentally demonstrating that, for the most part, the model is capable of predicting the loci and bifurcations of the spring's equilibria. Nevertheless, it is also observed that, away from the equilibrium points, the quasistatic behavior of the spring is not well-approximated by the axial truss model. To overcome this issue, a modified model is developed which accounts for (i) the rotary stiffness of the creases, (ii) self avoidance due to panel contact at small angles between the panels, and (iii) buckling of the creases under compressive loads. It is shown that the modified model is capable of providing a better overall qualitative approximation of the quasistatic behavior. SN - 2470-0053 UR - https://www.unboundmedicine.com/medline/citation/31962498/Equilibria_and_bifurcations_of_a_foldable_paper-based_spring_inspired_by_Kresling-pattern_origami DB - PRIME DP - Unbound Medicine ER -
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