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Humanoid robots are made to resemble humans but their locomotion abilities are far from ours in terms of agility and versatility. When humans walk on complex terrains, or face external disturbances, they combine a set of strategies,…

Robotics · Computer Science 2021-10-28 Mohammadreza Kasaei , Miguel Abreu , Nuno Lau , Artur Pereira , Luis Paulo Reis

Physics governing the locomotion of microorganisms and other microsystems is dominated by viscous damping. An effective swimming strategy involves the non-reciprocal and periodic deformations of the considered body. Here, we show that a…

Swimming in circles occurs in a variety of situations at low Reynolds number. Here we propose a simple model for a swimmer that undergoes circular motion, generalising the model of a linear swimmer proposed by Najafi and Golestanian (Phys.…

Soft Condensed Matter · Physics 2012-07-16 Rodrigo Ledesma-Aguilar , Hartmut Loewen , Julia M. Yeomans

Bacteria can exploit mechanics to display remarkable plasticity in response to locally changing physical and chemical conditions. Compliant structures play a striking role in their taxis behavior, specifically for navigation inside complex…

We study two microswimmers consisting of a spherical rigid head and a passive elastic tail. In the first one the tail is clamped to the head, and the system oscillates under the action of an external torque. In the second one, head and tail…

Fluid Dynamics · Physics 2017-02-02 Giancarlo Cicconofri , Antonio DeSimone

Locomotion may be induced on three levels. On a classical level, actuators and limbs follow the sequence of open-loop top-down control signals they receive. Limbs may move alternatively on their own, which implies that interlimb…

Adaptation and Self-Organizing Systems · Physics 2024-09-23 Bulcsú Sándor , Claudius Gros

Increasingly stringent throughput requirements in the industry necessitate the need for lightweight design of high-precision motion systems to allow for high accelerations, while still achieving accurate positioning of the moving-body. The…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Yorick Broens , Hans Butler , Roland Tóth

Predicting how a deformable body moves and deforms in a viscous flow underlies problems ranging from microorganism locomotion to soft microrobotics, yet existing frameworks are either problem-specific or ill-suited to inverse design. We…

Fluid Dynamics · Physics 2026-05-25 Christophe Eloy

A key problem in robotic locomotion is in finding optimal shape changes to effectively displace systems through the world. Variational techniques for gait optimization require estimates of body displacement per gait cycle; however, these…

Robotics · Computer Science 2022-02-23 Capprin Bass , Suresh Ramasamy , Ross Hatton

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

We present two numerical schemes for passive tracer particles in the hydrodynamical moving-mesh code AREPO, and compare their performance for various problems, from simple setups to cosmological simulations. The purpose of tracer particles…

Instrumentation and Methods for Astrophysics · Physics 2013-08-20 Shy Genel , Mark Vogelsberger , Dylan Nelson , Debora Sijacki , Volker Springel , Lars Hernquist

Rectilinear crawling locomotion is a primitive and common mode of locomotion in slender, soft-bodied animals. It requires coordinated contractions that propagate along a body that interacts frictionally with its environment. We propose a…

Biological Physics · Physics 2021-08-31 Shruti Mishra , Wim M. van Rees , L. Mahadevan

We present a scheme of self-propelling liquid droplets which closely mimics the locomotion of some protozoal organisms, so-called squirmers. In contrast to other schemes proposed earlier, locomotion paths are not self-avoiding, since the…

Soft Condensed Matter · Physics 2011-03-29 Shashi Thutupalli , Ralf Seemann , Stephan Herminghaus

We study the trajectories of a model microorganism inside three-dimensional channels with square and rectangular cross-sections. Using (i) numerical simulations based on lattice-Boltzmann method, and (ii) analytical expressions using…

Soft Condensed Matter · Physics 2024-08-16 Byjesh N. Radhakrishnan , Ahana Purushothaman , Ranabir Dey , Sumesh P Thampi

Microswimmers display an intriguing ability to navigate through fluids with spatially varying viscosity, a behavior known as viscotaxis, which plays a crucial role in guiding their motion. In this study, we reveal that the orientation…

Fluid Dynamics · Physics 2025-06-25 Takuya Kobayashi , Ryoichi Yamamoto

In Stokes flow, Purcell's scallop theorem forbids objects with time-reversible (reciprocal) swimming strokes from moving. In the presence of inertia, this restriction is eased and reciprocally deforming bodies can swim. A number of recent…

Fluid Dynamics · Physics 2022-11-30 Nicholas J. Derr , Thomas Dombrowski , Chris H. Rycroft , Daphne Klotsa

Swimming at low Reynolds number in Newtonian fluids is only possible through non-reciprocal body deformations due to the kinematic reversibility of the Stokes equations. We consider here a model swimmer consisting of two linked spheres,…

Fluid Dynamics · Physics 2017-04-26 Babak Nasouri , Aditi Khot , Gwynn J. Elfring

Active dumbbell suspensions constitute one of the simplest model system for collective swimming at low Reynolds number. Generalizing recent work, we derive and analyze stroke-averaged equations of motion that capture the effective…

Soft Condensed Matter · Physics 2010-10-12 Victor B. Putz , Jörn Dunkel

Our understanding of the neural basis of locomotor behavior can be informed by careful quantification of animal movement. Classical descriptions of legged locomotion have defined discrete locomotor gaits, characterized by distinct patterns…

Neurons and Cognition · Quantitative Biology 2022-03-02 Ana I. Gonçalves , Jacob A. Zavatone-Veth , Megan R. Carey , Damon A. Clark

We seek the best stroke sequences of a finite-size swimming predator chasing a non-motile point or finite--size prey at low Reynolds number. We use optimal control to seek the globally-optimal solutions for the former and RL for general…

Fluid Dynamics · Physics 2022-07-13 Guangpu Zhu , Wen. -Zhen Fang , Lailai Zhu