Maxwell origami tube
Maxwell lattices are periodic frameworks characterized by a balance between the number of kinematic variables and constraints in each unit cell, attracting attention as a source of topological mechanical metamaterials. In particular, one-dimensional (1D) Maxwell lattices maintain a constant number o...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013032 |
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| Summary: | Maxwell lattices are periodic frameworks characterized by a balance between the number of kinematic variables and constraints in each unit cell, attracting attention as a source of topological mechanical metamaterials. In particular, one-dimensional (1D) Maxwell lattices maintain a constant number of degrees of freedom (DOFs) as the number of unit cells increases, offering advantages in the design and control of their kinematics. Here, we construct a 1D Maxwell lattice with tunable DOFs, termed the Maxwell origami tube, by closing a triangulated origami tessellation, which is a 2D Maxwell lattice. In topological mechanics, the infinitesimal deformation modes of uniformly configured Maxwell lattices are classified into edge and bulk modes. Unlike conventional 1-DOF 1D Maxwell lattices, multi-DOF 1D Maxwell lattices exhibit a mixture of DOFs corresponding to edge and bulk modes, which we term eDOFs and bDOFs. This paper investigates how the eDOFs and bDOFs of the Maxwell origami tube depend on the crease patterns and folded states using a discrete dynamical system model. We find that ground states with zero and nonzero bDOFs can coexist within a single crease pattern. Additionally, in states with nonzero bDOF, the ratio of bDOF to total DOF decreases as the total DOF increases. In contrast, we present another origami tube with a constant DOF of 2, which represents the first overconstrained lattice to exhibit nonuniform bulk modes. This work highlights the versatility of Maxwell lattices and provides a theoretical foundation for designing novel mechanical metamaterials. |
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| ISSN: | 2643-1564 |