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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

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

Friction plays a key role in manipulating objects. Most of what we do with our hands, and most of what robots do with their grippers, is based on the ability to control frictional forces. This paper aims to better understand the variability…

Robotics · Computer Science 2018-08-07 Daolin Ma , Alberto Rodriguez

We present realistic 3D numerical simulations of elastic bodies sliding on top of each other in a regime of velocities ranging from meters to tens of meters per second using the so-called Smoothed Particle Hydrodynamics (SPH) method. Our…

Statistical Mechanics · Physics 2015-06-25 C. Maveyraud , W. Benz , G. Ouillon , A. Sornette , D. Sornette

A unifying slipping and sticking frictional impact model for multibody systems in contact with a frictional surface is presented. It is shown that the model can lead to energetic consistency in both slip state and stick state upon imposing…

Soft Condensed Matter · Physics 2021-09-02 Farhad Aghili

Swimming fish and flying insects use the flapping of fins and wings to generate thrust. In contrast, microscopic organisms typically deform their appendages in a wavelike fashion. Since a flapping motion with two degrees of freedom is able,…

Fluid Dynamics · Physics 2014-06-18 Loic Was , Eric Lauga

Galloping is a common high-speed gait in both animals and quadrupedal robots, yet its energetic characteristics remain insufficiently explored. This study systematically analyzes a large number of possible galloping gaits by categorizing…

Robotics · Computer Science 2026-01-14 Yasser G. Alqaham , Jing Cheng , Zhenyu Gan

Locomotion on granular slopes such as sand dunes remains a fundamental challenge for legged robots due to reduced shear strength and gravity-induced anisotropic yielding of granular media. Using a hexapedal robot on a tiltable granular bed,…

Robotics · Computer Science 2026-04-06 Xingjue Liao , Feifei Qian

We propose a simple mechanical model of locomotion induced by internal force and friction. We first construct a system of two elements as an analog of the bipedal motion. The internal force does not induce a directional motion by itself…

Statistical Mechanics · Physics 2015-05-28 Hidetsugu Sakaguchi , Taisuke Ishihara

In this work, we analyse the stick-slip motion of a soft elastomeric block on a smooth, hard surface under the application of shear, which is induced by a puller moving at a steady velocity. The frictional stress is generated by make-break…

Soft Condensed Matter · Physics 2024-05-24 Vinay A. Juvekar , Arun K. Singh

Friction is the essential mediator of terrestrial locomotion, yet in robotic systems it is almost always treated as a passive property fixed by surface materials and conditions. Here, we introduce ultrasonic lubrication as a method to…

Common gastropods such as snails crawl on a solid substrate by propagating muscular waves of shear stress on a viscoelastic mucus. Producing the mucus accounts for the largest component in the gastropod's energy budget, more than twenty…

Soft Condensed Matter · Physics 2008-10-02 Eric Lauga , A. E. Hosoi

We propose a sliding surface for systems on the Lie group $SO(3)\times \mathbb{R}^3$ . The sliding surface is shown to be a Lie subgroup. The reduced-order dynamics along the sliding subgroup have an almost globally asymptotically stable…

Dynamical Systems · Mathematics 2019-05-15 Gian C. Gomez Cortes , Fernando Castanos , Jorge Davila

In collective motion, perceptually-limited individuals move in an ordered manner, without centralized control. The perception of each individual is highly localized, as is its ability to interact with others. While natural collective motion…

Robotics · Computer Science 2025-12-30 Peleg Shefi , Amir Ayali , Gal A. Kaminka

Achieving precise and efficient trajectory tracking in robotic arms remains a key challenge due to system uncertainties and chattering effects in conventional sliding mode control (SMC). This paper presents a chattering-free fast terminal…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Momammad Ali Ranjbar

The dynamics of moving solids with unilateral contacts are often modeled by assuming rigidity, point contacts, and Coulomb friction due to the simplicity of these models. The canonical example of a rigid rod with one endpoint slipping in…

Classical Physics · Physics 2018-01-30 Peter L. Varkonyi

In several biologically relevant situations, cell locomotion occurs in polymeric fluids with Weissenberg {number} larger than one. Here we present results of three-dimensional numerical simulations for the steady locomotion of a…

Fluid Dynamics · Physics 2012-12-03 Lailai ZHu , Minh Do-Quang , Eric Lauga , Luca Brandt

Many animals, modern aircraft, and underwater vehicles use streamlined body shapes that reduce fluid dynamic drag to achieve fast and effective locomotion in air and water. Similarly, numerous small terrestrial animals move through…

Biological Physics · Physics 2025-09-16 Chen Li , Andrew O. Pullin , Duncan W. Haldane , Han K. Lam , Ronald S. Fearing , Robert J. Full

We analyze the motion of a particle in the gravity field along a family of differentiable curves taking into account the Coulomb friction forces. A parametric equation of the optimal curves is given that generalizes the cycloid one in this…

Classical Physics · Physics 2025-02-03 Alexander Kurilin

We propose a polynomial force-motion model for planar sliding. The set of generalized friction loads is the 1-sublevel set of a polynomial whose gradient directions correspond to generalized velocities. Additionally, the polynomial is…

Robotics · Computer Science 2016-06-17 Jiaji Zhou , Robert Paolini , J. Andrew Bagnell , Matthew T. Mason
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