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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

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

Self-propelling organisms locomote via generation of patterns of self-deformation. Despite the diversity of body plans, internal actuation schemes and environments in limbless vertebrates and invertebrates, such organisms often use similar…

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

I introduce a new type of continuous-time quantum walk on graphs called the quantum snake walk, the basis states of which are fixed-length paths (snakes) in the underlying graph. First I analyze the quantum snake walk on the line, and I…

Quantum Physics · Physics 2013-05-29 Ansis Rosmanis

Snake robots have the potential to maneuver through tightly packed and complex environments. One challenge in enabling them to do so is the complexity in determining how to coordinate their many degrees-of-freedom to create purposeful…

Robotics · Computer Science 2020-12-10 Tianyu Wang , Julian Whitman , Matthew Travers , Howie Choset

Gaits engineered for snake-like robots to rotate in-place instrumentally fill a gap in the set of locomotive gaits that have traditionally prioritized translation. This paper designs a Turn-in-Place gait and demonstrates the ability of a…

Robotics · Computer Science 2022-03-11 Alexander H. Chang , Patricio A. Vela

Many previous studies of sliding locomotion have assumed that body inertia is negligible. Here we optimize the kinematics of a three-link body for efficient locomotion and include among the kinematic parameters the temporal period of…

Biological Physics · Physics 2022-10-19 Adam Earnst , Silas Alben

Locomotion requires that an animal or robot be able to move itself forward farther than it moves backward in each gait cycle (formally, that it be able to break the symmetry of its interactions with the world). Previous work has established…

Robotics · Computer Science 2022-02-28 Quinten Konyn , Ross L. Hatton

When navigating complex environments, animals often combine multiple strategies to mitigate the effects of external disturbances. These modalities often correspond to different sources of information, leading to speed-accuracy trade-offs.…

Statistical Mechanics · Physics 2025-09-19 Francesco Mori , L. Mahadevan

Tail bending associated with maneuvering flight of insects is a known phenomenon although there are only a few studies which analyze and quantify the effects and benefits of body configuration changes. We hypothesized that these…

Biological Physics · Physics 2017-07-26 Ayodeji T. Bode-Oke , Samane Zeyghami , Haibo Dong

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…

Snakes can traverse almost all types of environments by bending their elongate bodies in 3-D to interact with the terrain. Similarly, a snake robot is a promising platform to perform critical tasks in various environments. Understanding how…

Biological Physics · Physics 2023-02-23 Qiyuan Fu

Snake states are open trajectories for charged particles propagating in two dimensions under the influence of a spatially varying perpendicular magnetic field. In the quantum limit they are protected edge modes that separate topologically…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 Yang Liu , Rakesh P. Tiwari , Matej Brada , C. Bruder , F. V. Kusmartsev , E. J. Mele

Screw-based propulsion systems offer promising capabilities for amphibious mobility, yet face significant challenges in optimizing locomotion across water, granular materials, and transitional environments. This study presents a systematic…

Robotics · Computer Science 2025-11-18 Derek Chen , Zoe Samuels , Lizzie Peiros , Sujaan Mukherjee , Michael C. Yip

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

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

Animal locomotion is often subject to constraints arising from anatomical/physiological asymmetries. We use the nematode C.~elegans as a minimal model system to ask whether such constraints might shape locomotion patterns optimized during…

Neurons and Cognition · Quantitative Biology 2024-01-17 W. Mathijs Rozemuller , Steffen Werner , Antonio Carlos Costa , Liam O'Shaughnessy , Greg J. Stephens , Thomas S. Shimizu

Terrestrial locomotion requires generating appropriate ground reaction forces which depend on substrate geometry and physical properties. The richness of positions and orientations of terrain features in the 3-D world gives limbless animals…

Biological Physics · Physics 2025-09-15 Qiyuan Fu , Henry C. Astely , Chen Li