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Related papers: Soap-bubble Optimization of Gaits

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A body immersed in a supersaturated fluid like carbonated water can accumulate a dynamic field of bubbles upon its surface. If the body is mobile, the attached bubbles can lift it upward against gravity, but a fluid-air interface can clean…

Fluid Dynamics · Physics 2024-05-10 Saverio E. Spagnolie , Samuel Christianson , Carsen Grote

Discrete and periodic contact switching is a key characteristic of steady-state legged locomotion. This paper introduces a framework for modeling and analyzing this contact-switching behavior through the framework of geometric mechanics on…

Robotics · Computer Science 2023-10-24 Hari Krishna Hari Prasad , Ross L. Hatton , Kaushik Jayaram

In legged locomotion, the relationship between different gait behaviors and energy consumption must consider the full-body dynamics and the robot control as a whole, which cannot be captured by simple models. This work studies the robot…

Robotics · Computer Science 2021-05-04 Christopher McGreavy , Zhibin Li

Quadrupedal robots exhibit a wide range of viable gaits, but generating specific footfall sequences often requires laborious expert tuning of numerous variables, such as touch-down and lift-off events and holonomic constraints for each leg.…

Robotics · Computer Science 2026-02-13 Jiayu Ding , Xulin Chen , Garrett E. Katz , Zhenyu Gan

Quadrupedal robots exhibit a wide range of viable gaits, but generating specific footfall sequences often requires laborious expert tuning of numerous variables, such as touch-down and lift-off events and holonomic constraints for each leg.…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Jiayu Ding , Xulin Chen , Garret E. Katz , Zhenyu Gan

An optimal sequential experimental design approach is developed to computationally characterize soft material properties at the high strain rates associated with bubble cavitation. The approach involves optimal design and model inference.…

Soft Condensed Matter · Physics 2025-11-19 Tianyi Chu , Jonathan B. Estrada , Spencer H. Bryngelson

This paper formulates an optimal control problem for a system of rigid bodies that are connected by ball joints and immersed in an irrotational and incompressible fluid. The rigid bodies can translate and rotate in three-dimensional space,…

Optimization and Control · Mathematics 2009-09-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This study proposes a novel topology optimization method for unsteady fluid flows induced by actively moving rigid bodies. The key idea of the proposed method is to decouple the design and analysis domains by using separate grids. The…

Optimization and Control · Mathematics 2025-07-01 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

Efficient locomotion is important for the evolution of complex life, yet the physical principles selecting specific swimming strokes often remain entangled with biological constraints. In viscous fluids, the scallop theorem constrains the…

Biological Physics · Physics 2026-03-11 Takahiro Kanazawa , Kenta Ishimoto , Kyogo Kawaguchi

We study self propelled stokesian robots composed of assemblies of balls, in dimensions 2 and 3, and prove that they are able to control their position and orientation. This is a result of controllability, and its proof relies on applying…

Optimization and Control · Mathematics 2015-02-12 François Alouges , Antonio DeSimone , Luca Heltai , Aline Lefebvre , Benoît Merlet

To explore and react to their environment, living micro-swimmers have developed sophisticated strategies for locomotion - in particular, motility with multiple gaits. To understand the physical principles associated with such a behavioural…

Data obtained from Flow Cytometry present pronounced variability due to biological and technical reasons. Biological variability is a well-known phenomenon produced by measurements on different individuals, with different characteristics…

Incompressible, inviscid, irrotational, and unsteady flows with circulation $\Gamma$ around a distorted toroidal bubble are considered. A general variational principle that determines the evolution of the bubble shape is formulated. For a…

Fluid Dynamics · Physics 2009-11-10 V. P. Ruban , J. J. Rasmussen

A popular method to induce synthetic propulsion at the microscale is to use the forces created by surface-produced gas bubbles inside the asymmetric body of a catalytic swimmer (referred to in the literature as microrocket). Gas bubbles…

Fluid Dynamics · Physics 2018-03-29 Giacomo Gallino , Francois Gallaire , Eric Lauga , Sebastien Michelin

Optimal gait design is important for micro-organisms and micro-robots that propel themselves in a fluid environment in the absence of external force or torque. The simplest models of shape changes are those that comprise a series of…

Fluid Dynamics · Physics 2019-10-01 Qixuan Wang

Combining geometric mechanics theory, laboratory robotic experiment and numerical simulation, we study the locomotion in granular media (GM) of the simplest non-inertial swimmer, the Purcell three-link swimmer. Using granular resistive…

Soft Condensed Matter · Physics 2013-02-22 Ross L. Hatton , Yang Ding , Howie Choset , Daniel I. Goldman

Successfully achieving bipedal locomotion remains challenging due to real-world factors such as model uncertainty, random disturbances, and imperfect state estimation. In this work, we propose a novel metric for locomotive robustness -- the…

Robotics · Computer Science 2024-03-14 Maegan Tucker , Kejun Li , Aaron D. Ames

The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

Statistical Mechanics · Physics 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

In this paper, we derive reduced models for the motion of gas bubbles in an ambient inviscid liquid, using Hamilton's least action principle. We first explain how to recover from this principle the classical sharp interface model, in which…

Analysis of PDEs · Mathematics 2026-05-13 Cosmin Burtea , David Gérard-Varet

This study proposes the topology optimization method for moving rigid bodies subjected to forces from fluid flow, such as sails and turbines, with an unsteady time-dependent formulation. Unlike existing topology optimization frameworks in…

Fluid Dynamics · Physics 2026-01-27 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima