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Limbless animals such as snakes, limbless lizards, worms, eels, and lampreys move their slender, long bodies in three dimensions to traverse diverse environments. Accurately quantifying their continuous body's 3-D shape and motion is…

Biological Physics · Physics 2025-10-14 Qiyuan Fu , Thomas W. Mitchel , Jin Seob Kim , Gregory S. Chirikjian , Chen Li

We examine the problem of snake-like locomotion by studying a system consisting of a planar inextensible elastic rod that is able to control its spontaneous curvature. Using a Cosserat model we derive, through variational principles, the…

Soft Condensed Matter · Physics 2017-02-02 Giancarlo Cicconofri , Antonio DeSimone

Although commonly associated with limbless animals like snakes and fish, multi-legged organisms like centipedes also utilize undulatory locomotion. Whether these undulations are actively reinforced or resisted by the axial musculature…

Biological Physics · Physics 2026-03-11 Adam Dionne , Fabio Giardina , L. Mahadevan

In this paper we propose a method for computing the contour of an object in an image using a snake represented as a subdivision curve. The evolution of the snake is driven by its control points which are computed minimizing an energy that…

Soft robotic snakes made of compliant materials can continuously deform their bodies and, therefore, mimic the biological snakes' flexible and agile locomotion gaits better than their rigid-bodied counterparts. Without wheel support, to…

Flying snakes use a unique method of aerial locomotion: they jump from tree branches, flatten their bodies and undulate through the air to produce a glide. The shape of their body cross-section during the glide plays an important role in…

Fluid Dynamics · Physics 2014-03-06 Anush Krishnan , John J. Socha , Pavlos P. Vlachos , L. A. Barba

Object manipulation has been extensively studied in the context of fixed base and mobile manipulators. However, the overactuated locomotion modality employed by snake robots allows for a unique blend of object manipulation through…

Snake robots composed of alternating single-axis pitch and yaw joints have many internal degrees of freedom, which make them capable of versatile three-dimensional locomotion. In motion planning process, snake robot motions are often…

Snake robots are inspired by the ability of biological snakes to move over rock, grass, leaves, soil, up trees, along pavement and more. Their ability to move in multiple distinct environments is due to their legless locomotion strategy,…

Robotics · Computer Science 2026-03-05 Umit Sen , Andri Mahegan , Gina Olson

Snake robots offer considerable potential for endoscopic interventions due to their ability to follow curvilinear paths. Telemanipulation is an open problem due to hyper-redundancy, as input devices only allow a specification of six degrees…

Robotics · Computer Science 2024-04-17 Tim-Lukas Habich , Melvin Hueter , Moritz Schappler , Svenja Spindeldreier

Inspired by the dynamic coupling of moto-neurons and physical elasticity in animals, this work explores the possibility of generating locomotion gaits by utilizing physical oscillations in a soft snake by means of a low-level spiking neural…

Robotics · Computer Science 2025-02-11 Chuhan Zhang , Cong Wang , Wei Pan , Cosimo Della Santina

Snakes can move through almost any terrain. Similarly, snake robots hold the promise as a versatile platform to traverse complex environments like earthquake rubble. Unlike snake locomotion on flat surfaces which is inherently stable, when…

Biological Physics · Physics 2025-09-22 Qiyuan Fu , Sean W. Gart , Thomas W. Mitchel , Jin Seob Kim , Gregory S. Chirikjian , Chen Li

Limbless terrestrial animals exhibit exceptional locomotor versatility and control, currently unmatched by engineered counterparts. Here, we introduce a computational framework that enables soft synthetic snakes to navigate unstructured,…

Robotics · Computer Science 2026-05-26 Xiaotian Zhang , Ali Albazroun , Tixian Wang , Songyuan Cui , Prashant G. Mehta , Mattia Gazzola

Motivated by a possible convergence of terrestrial limbless locomotion strategies ultimately determined by interfacial effects, we show how both 3D gait alterations and locomotory adaptations to heterogeneous terrains can be understood…

Biological Physics · Physics 2021-11-17 Xiaotian Zhang , Noel Naughton , Tejaswin Parthasarathy , Mattia Gazzola

Snakes can move through almost any terrain. Although their locomotion on flat surfaces using planar gaits is inherently stable, when snakes deform their body out of plane to traverse complex terrain, maintaining stability becomes a…

Biological Physics · Physics 2025-09-18 Qiyuan Fu , Chen Li

We study the possibility of efficient intermittent locomotion for two-link bodies that slide by changing their interlink angle periodically in time. We find that the anisotropy ratio of the sliding friction coefficients is a key parameter,…

Biological Physics · Physics 2020-06-24 Silas Alben , Connor Puritz

Animals run robustly in diverse terrain. This locomotion robustness is puzzling because axon conduction velocity is limited to a few ten meters per second. If reflex loops deliver sensory information with significant delays, one would…

Robotics · Computer Science 2022-12-02 An Mo , Fabio Izzi , Emre Cemal Gönen , Daniel Haeufle , Alexander Badri-Spröwitz

This paper presents an optimization-based motion planning methodology for snake robots operating in constrained environments. By using a reduced-order model, the proposed approach simplifies the planning process, enabling the optimizer to…

Robotics · Computer Science 2025-03-11 Adarsh Salagame , Eric Sihite , Milad Ramezani , Alireza Ramezani

Of the vast variety of animal gaits, one of the most striking is the non-planar undulating motion of a sidewinder. But non-planar gaits are not limited to sidewinders. Here we report a new non-planar mode used as an escape strategy in…

Quantitative Methods · Quantitative Biology 2023-04-06 N. Charles , R. Chelakkot , M. Gazzola , B. Young , L. Mahadevan

Locomotion is typically studied either in continuous media where bodies and legs experience forces generated by the flowing medium, or on solid substrates dominated by friction. In the former, centralized coordination is believed to…

Biological Physics · Physics 2023-03-29 Baxi Chong , Juntao He , Shengkai Li , Eva Erickson , Kelimar Diaz , Tianyu Wang , Daniel Soto , Daniel I. Goldman