Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Gin GE"'
We show that minimally 3-rigid block-and-hole graphs, with one block or one hole, are characterised as those which are constructible from $K_3$ by vertex splitting, and also, as those having associated looped face graphs which are $(3,0)$-tight. This
Externí odkaz:
http://arxiv.org/abs/2309.06804
Autor:
Lo, Po-Wei, Roychowdhury, Krishanu, Chen, Bryan Gin-ge, Santangelo, Christian D., Jian, Chao-Ming, Lawler, Michael J.
Publikováno v:
Phys. Rev. Lett. 127, 076802 (2021)
Many advancements have been made in the field of topological mechanics. The majority of the works, however, concerns the topological invariant in a linear theory. We, in this work, present a generic prescription of defining topological indices which
Externí odkaz:
http://arxiv.org/abs/2104.12778
Publikováno v:
PNAS December 1, 2020 117 (48) 30252-30259; first published November 16, 2020
We consider the zero-energy deformations of periodic origami sheets with generic crease patterns. Using a mapping from the linear folding motions of such sheets to force-bearing modes in conjunction with the Maxwell-Calladine index theorem we derive
Externí odkaz:
http://arxiv.org/abs/2003.01095
Publikováno v:
Phys. Rev. X 8, 011034 (2018)
Origami structures are characterized by a network of folds and vertices joining unbendable plates. For applications to mechanical design and self-folding structures, it is essential to understand the interplay between the set of folds in the unfolded
Externí odkaz:
http://arxiv.org/abs/1706.03869
Publikováno v:
Phys. Rev. E 95, 022202 (2017)
We study the dynamical response of a diatomic periodic chain of rotors coupled by springs, whose unit cell breaks spatial inversion symmetry. In the continuum description, we derive a nonlinear field theory which admits topological kinks and antikink
Externí odkaz:
http://arxiv.org/abs/1608.02127
Publikováno v:
Mathematical Proceedings of the Royal Irish Academy; September 2024, Vol. 124 Issue: 2 p53-69, 17p
Publikováno v:
Phys. Rev. Lett. 116, 135503 (2016)
Topological mechanical structures exhibit robust properties protected by topological invariants. In this letter, we study a family of deformed square lattices that display topologically protected zero-energy bulk modes analogous to the massless fermi
Externí odkaz:
http://arxiv.org/abs/1510.04970
Autor:
Chen, Bryan Gin-ge, Liu, Bin, Evans, Arthur A., Paulose, Jayson, Cohen, Itai, Vitelli, Vincenzo, Santangelo, C. D.
Publikováno v:
Phys. Rev. Lett. 116, 135501 (2016)
Origami and kirigami have emerged as potential tools for the design of mechanical metamaterials whose properties such as curvature, Poisson ratio, and existence of metastable states can be tuned using purely geometric criteria. A major obstacle to ex
Externí odkaz:
http://arxiv.org/abs/1508.00795
Autor:
Driscoll, Michelle M., Chen, Bryan Gin-ge, Beuman, Thomas H., Ulrich, Stephan, Nagel, Sidney R., Vitelli, Vincenzo
Publikováno v:
PNAS September 27, 2016 vol. 113 no. 39 10813-10817
We investigate how material rigidity acts as a key control parameter for the failure of solids under stress. In both experiments and simulations, we demonstrate that material failure can be continuously tuned by varying the underlying rigidity of the
Externí odkaz:
http://arxiv.org/abs/1501.04227
Publikováno v:
Phys. Rev. E 91, 032124 (2015)
We study rigidity percolation transitions in two-dimensional central-force isostatic lattices, including the square and the kagome lattices, as next-nearest-neighbor bonds ("braces") are randomly added to the system. In particular, we focus on the di
Externí odkaz:
http://arxiv.org/abs/1412.6609