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Rocklin, D. Zeb

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Publication Search Results

Now showing 1 - 9 of 9
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    Rigidity percolation in a random tensegrity via analytic graph theory
    ( 2022-04-19) Rocklin, D. Zeb
    Tensegrities are mechanical structures that include cable-like elements that are strong and lightweight relative to rigid rods yet support only extensile stress. From suspension bridges to the musculoskeletal system to individual biological cells, humanity makes excellent use of tensegrities, yet the sharply nonlinear response of cables presents serious challenges to analytical theory. Here we consider large tensegrity structures with randomly placed cables (and struts) overlaid on a regular rigid backbone whose corresponding system of inequalities is reduced via analytic theory to an exact graph theory. We identify a novel coordination number that controls two rigidity percolation transitions: one in which global interactions between cables first support external loads and one in which the structure becomes fully rigid. We show that even the addition of a few cables strongly modifies conventional rigidity percolation, both by modifying the sharpness of the transition and by introducing avalanche effects in which a single constraint can eliminate multiple floppy modes.
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    Data for 'Locomotion without force, and impulse via dissipation: Robotic swimming in curved space via geometric phase'
    (Georgia Institute of Technology, 2022) Li, Shengkai ; Wang, Tianyu ; Kojouharov, Velin H. ; McInerney, James ; Aydin, Enes ; Aydin, Yasemin O. ; Goldman, Daniel I. ; Rocklin, D. Zeb
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    Professor Debate on the Topic - Do We Live In a Simulation?
    (Georgia Institute of Technology, 2019-11-12) Cvitanović, Predrag ; Holder, Mary ; Klein, Hans ; Rocklin, D. Zeb ; Turk, Gregory ; Vempala, Santosh S.
    Do we live in a simulation? The School of Physics and the Society of Physics Students will host a public debate between faculty from the College of Science and the College of Computing to answer this question. This event is free and open to the all. There will be time at the conclusion of the debate for audience members to direct questions towards the faculty panel.
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    The Science of Origami
    (Georgia Institute of Technology, 2019-02-25) Rocklin, D. Zeb
    What kinds of shapes can you make by folding a sheet of paper? How strong can you make them, or how flexible? Although we've been folding paper for centuries, we're still discovering fascinating new answers to these questions. Origami-inspired structures can improve the energy-efficiency of massive buildings, deliver drugs deep within the body, power spacecraft and even stop bullets. As we learn to manipulate sheets as thin as a single atom, humanity approaches the ultimate origami challenge--folding structures as rich and varied as those nature achieves through folding proteins. We will discuss how all of these structures are achieved by mastering the geometrical structure hidden within every sheet of paper.
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    Tracked data for Chionactis occipitalis through a post array
    (Georgia Institute of Technology, 2019-01-25) Schiebel, Perrin E. ; Rieser, Jennifer M. ; Hubbard, Alex M. ; Chen, Lillian ; Rocklin, D. Zeb ; Goldman, Daniel I.
    Limbless animals like snakes inhabit most terrestrial environments, generating thrust to overcome drag on the elongate body via contacts with heterogeneities. The complex body postures of some snakes and the unknown physics of most terrestrial materials frustrates understanding of strategies for effective locomotion. As a result, little is known about how limbless animals contend with unplanned obstacle contacts. We studied a desert snake, Chionactis occipitalis, which uses a stereotyped head-to-tail traveling wave to move quickly on homogeneous sand. In laboratory experiments, we challenged snakes to move across a uniform substrate and through a regular array of force sensitive posts. The snakes were reoriented by the array in a manner reminiscent of the matter-wave diffraction of subatomic particles. Force patterns indicated the animals did not change their self-deformation pattern to either avoid or grab the posts. A model using open-loop control incorporating previously described snake muscle activation patterns and body-buckling dynamics reproduced the observed patterns, suggesting a similar control strategy may be used by the animals. Our results reveal how passive dynamics can benefit limbless locomotors by allowing robust transit in heterogeneous environments with minimal sensing.
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    Workshop on Topological Protection in Messy Matter - Welcome and Overview
    (Georgia Institute of Technology, 2018-05-14) Rocklin, D. Zeb
    The Workshop on Topological Protection in Messy Matter is sponsored by Georgia Tech's Community for Research on Active Surfaces and Interfaces (CRĀSI). The workshop will bring together distinguished researchers from diverse intellectual communities to present and moreover to develop new ways of exploiting topology in "messy" systems, including but not limited to disordered, fluid, amorphous, active, structured and quasicrystalline systems.
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    What Topology Reveals About Real Systems
    (Georgia Institute of Technology, 2018-05-11) Rocklin, D. Zeb
    A tutorial intended to introduce topology with a minimum of math and provide a background as to how it applies to real systems such as those considered in the Workshop on Topological Protection in Messy Matter.
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    How Hidden Geometric Symmetries in Origami Generate New Folding Mechanisms
    (Georgia Institute of Technology, 2018-04-19) McInerney, James ; Rocklin, D. Zeb
    The traditional Japanese art of paper folding has inspired various foldable materials, some now realizable at the atomic scale. These thin sheets use engineered crease patterns to provide a desired mechanical response governed by the crease pattern geometry. We consider the entire class of triangulated origami, where global symmetries come paired with force-bearing modes that correspond to linear folding motions. We find triangulated origami generally has two such folding modes that extend into the non-linear regime and transform the origami sheet into cylindrical sections. The key feature of this class of origami is its matching number of constraints and degrees of freedom; hence, our methods are applicable to sheets allowing cuts and folds called kirigami, and continuous sheets satisfying this condition.
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    Symposium on Soft Matter Forefronts - Welcome
    (Georgia Institute of Technology, 2018-04-18) Alexeev, Alexander ; Brettmann, Blair ; Fernandez-Nieves, Alberto ; Matsumoto, Elisabetta A. ; Rocklin, D. Zeb ; Yunker, Peter J.
    The symposium aims to familiarize attendees with the soft-matter research and expertise at Georgia Tech and to demonstrate the role Georgia Tech plays in influencing and advancing the field.