Analyzing the bi-directional dynamic morphing of a bi-stable water-bomb base origami

Morphing structures have been a subject of much research recently because of their promising potentials in aerospace, wind turbine, and many other applications. There exists many different approaches to achieve shape morphing, among which the origami-inspired folding is particularly interesting in that folding is fundamentally three-dimensional, scalable, and customizable. However, activating and attaining large amplitude folding autonomously are challenging. Active materials, such as shape memory alloys, have been used to activate folding, but they are limited due to the power supply requirement to maintain the folded configurations. One possible solution is to embed bi-stability into the origami structure. Bi-stability can play two significant roles: First, it can significantly reduce the actuation requirement to induce shape morning; and second, it can maintain the shape change without demanding sustained energy supply. In this study, we demonstrate the feasibility of using dynamic excitation to induce shape morphing (or folding) between the two stable states of water-bomb base. For the first time, we derive the dynamic equation of motion for a water-bomb base origami and use it extensively to analyze its time responses under harmonic excitation. Via numerical simulations, we show that by harnessing the intra-well resonance of the water-bomb structure, we can achieve rapid bi-directional morphing using relatively low actuation magnitudes in comparison with quasi-static loading.

[1]  Sergio Pellegrino,et al.  Space Frames with Multiple Stable Configurations , 2007 .

[2]  Mary Frecker,et al.  Development and Validation of a Dynamic Model of Magneto-Active Elastomer Actuation of the Origami Waterbomb Base , 2015 .

[3]  Larry L. Howell,et al.  Force–Deflection Modeling for Generalized Origami Waterbomb-Base Mechanisms , 2015 .

[4]  Mujahid Abdulrahim,et al.  Using Avian Morphology To Enhance Aircraft Maneuverability , 2006 .

[5]  Peter Hagedorn,et al.  Dynamic control for morphing of bi-stable composites , 2013 .

[6]  M. Frecker,et al.  Investigating the performance and properties of dielectric elastomer actuators as a potential means to actuate origami structures , 2014 .

[7]  Larry L. Howell,et al.  Waterbomb base: a symmetric single-vertex bistable origami mechanism , 2014 .

[8]  Hongbin Fang,et al.  Dynamics of a bistable Miura-origami structure. , 2017, Physical review. E.

[9]  Andres F. Arrieta,et al.  Variable stiffness material and structural concepts for morphing applications , 2013 .

[10]  Mark Schenk,et al.  Geometry of Miura-folded metamaterials , 2013, Proceedings of the National Academy of Sciences.

[11]  Hongbin Fang,et al.  Self-locking degree-4 vertex origami structures , 2016, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[12]  Daniel J. Inman,et al.  A Review of Morphing Aircraft , 2011 .

[13]  Tadashige Ikeda,et al.  A Two-Way Morphing Actuation of Bi-Stable Composites with Piezoelectric Fibers , 2010 .

[14]  Darren J. Hartl,et al.  Simulation-Based Design of a Self-Folding Smart Material System , 2013 .

[15]  Kon-Well Wang,et al.  Architected Origami Materials: How Folding Creates Sophisticated Mechanical Properties , 2018, Advanced materials.

[16]  Ken Badcock,et al.  On how structural model variability influence transonic aeroelasticity stability. , 2010 .

[17]  Mary Frecker,et al.  Bistable compliant mechanism using magneto active elastomer actuation , 2014 .

[18]  Hongbin Fang,et al.  Uncovering the deformation mechanisms of origami metamaterials by introducing generic degree-four vertices. , 2016, Physical review. E.

[19]  B. Chen,et al.  Origami multistability: from single vertices to metasheets. , 2014, Physical review letters.

[20]  Paul M. Weaver,et al.  Review of morphing concepts and materials for wind turbine blade applications , 2013 .