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The Chaplygin sleigh is a classic example of a nonholonomically constrained mechanical system. The sleigh's motion always converges to a straight line whose slope is entirely determined by the initial configuration and velocity of the…

Chaotic Dynamics · Physics 2018-09-18 Vitaliy Fedonyuk , Phanindra Tallapragada

For a Chaplygin sleigh moving in the presence of weak friction, we present and investigate two mechanisms of arising acceleration due to oscillations of an internal mass. In certain parameter regions, the mechanism induced by small…

Chaotic Dynamics · Physics 2018-07-18 Ivan A. Bizyaev , Alexey V. Borisov , Sergey P. Kuznetsov

Most aquatic vertebrates swim by lateral flapping of their bodies and caudal fins. While much effort has been devoted to understanding the flapping kinematics and its influence on the swimming efficiency, little is known about the stability…

Fluid Dynamics · Physics 2015-06-15 Fangxu Jing , Eva Kanso

Inspired by the snap-through action of a steel hairclip, we propose a design method for in-plane prestressed mechanisms that exhibit biomimetic morphing and high locomotion performance. Compliant bistable flapping mechanisms are fabricated…

Robotics · Computer Science 2023-11-07 Zechen Xiong , Liqi Chen , Wenxiong Hao , Yufeng Su , Hod Lipson

This paper is concerned with the Chaplygin sleigh with timevarying mass distribution (parametric excitation). The focus is on the case where excitation is induced by a material point that executes periodic oscillations in a direction…

Chaotic Dynamics · Physics 2018-01-17 Ivan Bizyaev , Alexey Borisov , Ivan Mamaev

We derive a minimal continuum model to investigate the hydrodynamic mechanism behind the fingering instability recently discovered in a suspension of microrollers near a floor [Driscoll et al. Nature Physics, 2016]. Our model, consisting of…

Fluid Dynamics · Physics 2017-11-15 Blaise Delmotte , Michelle Driscoll , Aleksandar Donev , Paul Chaikin

We consider the motion of a planar rigid body in a potential flow with circulation and subject to a certain nonholonomic constraint. This model is related to the design of underwater vehicles. The equations of motion admit a reduction to a…

Exactly Solvable and Integrable Systems · Physics 2013-08-15 Yuri N. Fedorov , Luis C. García-Naranjo , Joris Vankerschaver

We consider the motion of rigid bodies in a potential fluid subject to certain nonholonomic constraints and show that it is described by Euler--Poincar\'e--Suslov equations. In the 2-dimensional case, when the constraint is realized by a…

Mathematical Physics · Physics 2013-06-20 Yuri N. Fedorov , Luis C. Garcia-Naranjo

An asymmetric two-link robot supported atop a flat platform by wheels that roll and pivot freely, but do not slip laterally, will develop forward momentum if the joint between the links is actuated internally. In particular, oscillations in…

Robotics · Computer Science 2026-04-27 Hamidreza Moradi , Scott David Kelly

A distinctive feature of quadrupeds that is integral to their locomotion is the tail. Tails serve many purposes in biological systems including propulsion, counterbalance, and stabilization while walking, running, climbing, or jumping.…

Robotics · Computer Science 2023-04-12 Josh Buckley , Yasemin Ozkan-Aydin

The design and control of soft robots operating in fluid environments requires a careful understanding of the interplay between large elastic body deformations and hydrodynamic forces. Here we show that this interplay leads to novel…

Soft Condensed Matter · Physics 2025-10-22 Mohamed Warda , Ronojoy Adhikari

Non-equilibrium processes which convert chemical energy into mechanical motion enable the motility of organisms. Bundles of inextensible filaments driven by energy transduction of molecular motors form essential components of micron-scale…

Soft Condensed Matter · Physics 2013-06-13 Abhrajit Laskar , Rajeev Singh , Somdeb Ghose , Gayathri Jayaraman , P. B. Sunil Kumar , R. Adhikari

Microswimmers, and among them aspirant microrobots, generally have to cope with flows where viscous forces are dominant, characterized by a low Reynolds number ($Re$). This implies constraints on the possible sequences of body motion, which…

Fluid Dynamics · Physics 2017-12-06 A. Djellouli , P. Marmottant , H. Djeridi , C. Quilliet , G. Coupier

We examine the stability of the "coast" motion of fish, that is to say, the motion of a neutrally buoyant fish at constant speed in a straight line. The forces and moments acting on the fish body are thus perfectly balanced. The fish motion…

Fluid Dynamics · Physics 2013-07-01 Fangxu Jing , Eva Kanso

A biomorphic propulsion systemfor underwater robotic fish is presented. The system is based on a combination of an elastic chord with a tail fin fixed on it. The tail fin is connected to servomotor by two symmetric movable thrusts…

Robotics · Computer Science 2021-12-15 I. V. Mitin , R. A. Korotaev , A. A. Ermolaev , V. B. Kazantsev

Oscillations of flagella and cilia play an important role in biology, which motivates the idea of functional mimicry as part of bio-inspired applications. Nevertheless, it still remains challenging to drive their artificial counterparts to…

Soft Condensed Matter · Physics 2019-06-10 Lailai Zhu , Howard A. Stone

We investigate the sensorimotor loop of simple robots simulated within the LPZRobots environment from the point of view of dynamical systems theory. For a robot with a cylindrical shaped body and an actuator controlled by a single…

Neurons and Cognition · Quantitative Biology 2019-01-18 Bulcsú Sándor , Tim Jahn , Laura Martin , Claudius Gros

The growing interest in creating a parametric representation of liquid sloshing inside a container stems from its practical applications in modern engineering systems. The resonant excitation, on the other hand, can cause unstable and…

Machine Learning · Computer Science 2022-01-28 Xihaier Luo , Ahsan Kareem , Liting Yu , Shinjae Yoo

Fish-inspired aquatic robots are gaining increasing attention in marine robot communities due to their high swimming speeds and efficient propulsion enabled by flexible bodies that generate undulatory motions. To support the design…

Robotics · Computer Science 2025-11-07 Zhiheng Chen , Wei Wang

Scombrid fishes and tuna are efficient swimmers capable of maximizing performance to escape predators and save energy during long journeys. A key aspect in achieving these goals is the flexibility of the tail, which the fish optimizes…

Fluid Dynamics · Physics 2024-11-19 L. Padovani , G. Manduca , D. Paniccia , G. Graziani , R. Piva , C. Lugni
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