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We study the efficiency of sliding locomotion for three-link bodies in the presence of dry (Coulomb) friction. Friction coefficient space can be partitioned into several regions, each with distinct types of efficient kinematics. These…

Biological Physics · Physics 2021-04-21 Silas Alben

We optimize three-dimensional snake kinematics for locomotor efficiency. We assume a general space-curve representation of the snake backbone with small-to-moderate lifting off the ground and negligible body inertia. The cost of locomotion…

Biological Physics · Physics 2022-05-11 Silas Alben

We analyze two- and three-link planar snake-like locomotion and optimize the motion for efficiency. The locomoting system consists of two or three identical inextensible links connected via hinge joints, and the angles between the links are…

Biological Physics · Physics 2013-07-01 Fangxu Jing , Silas Alben

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

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

In this theoretical study, we present an analytical framework to investigate the slithering motion of snakes on flat surfaces. While previous studies have predominantly relied on numerical methods to identify optimal locomotion kinematics,…

Biological Physics · Physics 2024-12-06 Yogesh Phalak , Hodjat Pendar

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 develop a numerical scheme to determine which planar snake motions are optimal for locomotory efficiency, across a wide range of frictional parameter space. For a large coefficient of transverse friction, we find that retrograde…

Biological Physics · Physics 2013-04-17 Silas Alben

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

The gaits of undulating animals arise from a complex interaction of their central nervous system, muscle, connective tissue, bone, and environment. As a simplifying assumption, many previous studies have often assumed that sufficient…

Biological Physics · Physics 2023-05-31 Brian Van Stratum , Jonathan E. Clark , Kourosh Shoele

Nature suggests that exploiting the elasticities and natural dynamics of robotic systems could increase their locomotion efficiency. Prior work on elastic snake robots supports this hypothesis, but has not fully exploited the nonlinear…

Robotics · Computer Science 2026-05-14 Tristan Ehlert , Arne Sachtler , Annika Schmidt , Davide Calzolari , Alin Albu-Schäffer

We determine analytically the form of optimal snake locomotion when the coefficient of transverse friction is large, the typical regime for biological and robotic snakes. We find that the optimal snake motion is a retrograde traveling wave,…

Biological Physics · Physics 2013-04-17 Silas Alben

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

We develop a model to study the locomotion of snakes on an inclined plane. We determine numerically which snake motions are optimal for two retrograde traveling-wave body shapes---triangular and sinusoidal waves---across a wide range of…

Biological Physics · Physics 2015-06-17 Xiaolin Wang , Matthew T. Osborne , Silas Alben

Snakes are a remarkable evolutionary success story. Many snake-inspired robots have been proposed over the years. Soft robotic snakes (SRS) with their continuous and smooth bending capability better mimic their biological counterparts'…

Robotics · Computer Science 2020-10-23 Dimuthu D. Arachchige , Yue Chen , Isuru S. Godage

Inchworm crawling allows for both quasistatic and dynamic gaits at a wide range of actuation frequencies. This locomotion mechanism is common in nonskeletal animals and exploited extensively in the bio-inspired field of soft robotics. In…

Robotics · Computer Science 2020-09-10 Benny Gamus , Amir D. Gat , Yizhar Or

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

Snake robots are characterized by their ability to navigate through small spaces and loose terrain by utilizing efficient cyclic forms of locomotion. Soft snake robots are a subset of these robots which utilize soft, compliant actuators to…

Robotics · Computer Science 2023-03-29 Farhan Rozaidi , Emma Waters , Olivia Dawes , Jennifer Yang , Joseph R. Davidson , Ross L. Hatton

Crawling is a common locomotion mechanism in soft robots and nonskeletal animals. In this work we propose modeling soft-robotic legged locomotion by approximating it with an equivalent articulated robot with elastic joints. For concreteness…

Soft Condensed Matter · Physics 2020-01-22 Benny Gamus , Lior Salem , Amir D. Gat , Yizhar Or

Fluid-based locomotion at low Reynolds number is subject to the constraints of the scallop theorem, which dictate that body kinematics identical under a time-reversal symmetry (in particular, those with a single degree of freedom) cannot…

Biological Physics · Physics 2013-03-13 Gregory L. Wagner , Eric Lauga
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