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Multistability of segmented rings by programming natural curvature
Lu Lu1, Sophie Leanza1, Jize Dai1
1Department of Mechanical Engineering, Stanford University, Stanford, CA 94305.
Summary
Researchers developed a theoretical framework to analyze multistable segmented rings. This work maps stable configurations and shows how to design rings storing more energy than circular ones for advanced applications.
Area of Science:
- Mechanics of Materials
- Structural Engineering
- Robotics
Background:
- Multistable structures enable shape reconfiguration for applications in aerospace, metamaterials, and robotics.
- Segmented rings, particularly polygons, exhibit multistability through snap-folding, influenced by natural curvature.
Purpose of the Study:
- To develop a general theoretical framework for analyzing the elastic stability of segmented rings.
- To map all planar stable configurations and determine natural curvature ranges for multistable states.
- To explore energy storage capabilities in segmented ring configurations.
Main Methods:
- Energy variational approach for theoretical framework development.
- Finite element simulations to map stable configurations.
- Experimental validation of theoretical and numerical results.
Main Results:
- A theoretical and numerical framework was established for segmented ring stability analysis.
- Up to six distinct planar stable states were demonstrated in a segmented ring with a rectangular cross-section.
- Designed segmented rings can store more strain energy than circular rings of equivalent length.
Conclusions:
- The proposed strategy enables the rational design of multifunctional, reconfigurable, and deployable structures.
- Natural curvature is a key parameter in controlling the multistability of segmented rings.
- This research advances the understanding and application of multistable mechanical structures.
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