Preprint Article Version 1 This version is not peer-reviewed

Universal Scaling Laws of Origami Paper Springs

Version 1 : Received: 25 September 2019 / Approved: 26 September 2019 / Online: 26 September 2019 (11:53:23 CEST)

How to cite: Sun, B. Universal Scaling Laws of Origami Paper Springs. Preprints 2019, 2019090299 (doi: 10.20944/preprints201909.0299.v1). Sun, B. Universal Scaling Laws of Origami Paper Springs. Preprints 2019, 2019090299 (doi: 10.20944/preprints201909.0299.v1).

Abstract

This letter solves an open question of paper spring risen by Yoneda (2019). Universal scaling laws of a paper spring are proposed by using both dimensional analysis and data fitting. It is found that spring force obeys power square law of spring extension, however strong nonlinear to the total twist angle. Without doing any additional works, we have successfully generalize the scaling laws for Poisson ratio 0.3 to the materials with an arbitrary Poisson's ratio with the help of dimensional analysis.

Subject Areas

origami; paper spring; elastic; bending; twist; deformation

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