Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection DOI Creative Commons
Weicheng Huang, Yu Tian, Dominic Vella

et al.

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

In this paper, we systematically study the dynamic snap-through behavior of a pre-deformed elastic ribbon by combining theoretical analysis, discrete numerical simulations, and experiments. By rotating one its clamped ends with controlled angular speed, observe two transition paths among multiple stable configurations in three-dimensional (3D) space, which is different from classical two-dimensional (2D) bistable beam. Our model for static bifurcation analysis derived based on Kirchhoff equations, dynamical simulations are conducted using Discrete Elastic Rods (DER) algorithm. The planar beam also employed asymptotic behaviors. results show that, since processes both beams 3D ribbons governed saddle-node bifurcation, same scaling law delay applies. We further demonstrate ribbons, controlling velocity at end, distinct pathways can be realized selectively skipping specific modes, moreover, particular final modes strategically achieved. Through parametric construct general phase diagrams mode selection snapping ribbons. work serves as benchmark future investigations thin structures provides guidelines novel design intelligent mechanical systems.

Language: Английский

Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection DOI
Weicheng Huang, Yu Tian, Dominic Vella

et al.

Journal of the Mechanics and Physics of Solids, Journal Year: 2024, Volume and Issue: 190, P. 105721 - 105721

Published: June 5, 2024

Language: Английский

Citations

9

Mechanical response of tensegrity-origami solar modules DOI Creative Commons
Fernando Fraternali, Julia de Castro Motta, Giovanni Germano

et al.

Applications in Engineering Science, Journal Year: 2023, Volume and Issue: 17, P. 100174 - 100174

Published: Dec. 19, 2023

This work studies the mechanics of novel origami solar modules with tensegrity architecture for integration in dynamic façades energy-efficient buildings. The analyzed are deployed by adjusting rest lengths cables attached to given nodes, so as form a origami. Their stiffness is tuned pretension actuation cables, when deployment motion locked. insertion thermal or photovoltaic panels into rigid elements module makes it possible positive-energy systems. kinematics and investigated structures through analytic numerical methods. Two folding motions examined: open close track sun rays. rapid prototyping physical mock-up permits an experimental validation force–displacement response configuration sun-tracking motion. A procedure computation fundamental vibration modes frequencies quadrangular also given, expected system under wind loading outlined.

Language: Английский

Citations

23

Finding transition state and minimum energy path of bistable elastic continua through energy landscape explorations DOI Creative Commons
Guangchao Wan, Samuel J. Avis, Zizheng Wang

et al.

Journal of the Mechanics and Physics of Solids, Journal Year: 2023, Volume and Issue: 183, P. 105503 - 105503

Published: Nov. 26, 2023

Language: Английский

Citations

15

Multiple equilibrium states of a curved-sided hexagram: Part I—stability of states DOI
Lu Lu,

Jize Dai,

Sophie Leanza

et al.

Journal of the Mechanics and Physics of Solids, Journal Year: 2023, Volume and Issue: 180, P. 105406 - 105406

Published: Aug. 11, 2023

Language: Английский

Citations

10

Integration of kinks and creases enables tunable folding in meta-ribbons DOI Creative Commons
Weicheng Huang, Tian Yu, K. Jimmy Hsia

et al.

Matter, Journal Year: 2024, Volume and Issue: 7(9), P. 3007 - 3023

Published: May 15, 2024

Foldable structures find diverse applications. Folding of thin into compact shapes involves the interplay nonlinear mechanics and topology. In this study, we employ discrete models, theoretical analysis, tabletop experiments to systematically investigate geometrically folding process ring-shape elastic ribbons through in-plane kinks out-of-plane creases. We that initiate continuous supercritical bifurcation, while creases trigger abrupt snapping via subcritical bifurcation. Master curves summarize energy landscapes for with varying numbers are obtained. By integrating creases, a "meta-ribbon" can be created, which shows tunable behavior, transitioning from snapping, or vice versa, by strategically engineering angles guided constructed map. As product folding, demonstrate snapping-induced vibration accomplished dynamic as well multistability meta-ribbons saddle-like configurations their transformation.

Language: Английский

Citations

4

Equilibrium analysis of surface-constrained elastic rods: Unveiling contact and internal forces through local geometry DOI
Meng Wang, Xin Yi

Journal of the Mechanics and Physics of Solids, Journal Year: 2024, Volume and Issue: 187, P. 105635 - 105635

Published: March 28, 2024

Language: Английский

Citations

2

Multistability of segmented rings by programming natural curvature DOI Creative Commons
Lu Lu, Sophie Leanza,

Jize Dai

et al.

Proceedings of the National Academy of Sciences, Journal Year: 2024, Volume and Issue: 121(31)

Published: July 24, 2024

Multistable structures have widespread applications in the design of deployable aerospace systems, mechanical metamaterials, flexible electronics, and multimodal soft robotics due to their capability shape reconfiguration between multiple stable states. Recently, snap-folding rings, often form circles or polygons, has shown inducing diverse configurations. The natural curvature rod segment (curvature its stress-free state) plays an important role elastic stability these determining number configurations during folding. Here, we develop a general theoretical framework for analysis segmented rings (e.g., polygons) based on energy variational approach. Combining this with finite element simulations, map out all planar various determine ranges multistable numerical results are validated through experiments, which demonstrate that ring rectangular cross-section can show up six distinct also reveal that, by rationally designing ring, one- multiloop configuration store more strain than circular same total length. We envision proposed strategy achieving multistability current work will aid multifunctional, reconfigurable, structures.

Language: Английский

Citations

1

Double-eigenvalue bifurcation and multistability in serpentine strips with tunable buckling behaviors DOI

Qiyao Shi,

Weicheng Huang, Tian Yu

et al.

Journal of the Mechanics and Physics of Solids, Journal Year: 2024, Volume and Issue: 195, P. 105922 - 105922

Published: Nov. 12, 2024

Language: Английский

Citations

1

The elastica with pre-stress due to natural curvature DOI
Sophie Leanza, Ruike Renee Zhao, John W. Hutchinson

et al.

Journal of the Mechanics and Physics of Solids, Journal Year: 2024, Volume and Issue: 190, P. 105690 - 105690

Published: June 1, 2024

Language: Английский

Citations

0

Postbuckling analyses of ribbon-type 3D structures assembled on cylindrical substrates DOI
Tianqi Jin,

Jianzhong Zhao,

Yihui Zhang

et al.

Acta Mechanica Sinica, Journal Year: 2024, Volume and Issue: 40(12)

Published: June 17, 2024

Language: Английский

Citations

0