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We construct a highly-symmetric periodic orbit of eight bodies in three dimensions. In this orbit, each body collides with its three nearest neighbors in a regular periodic fashion. Regularization of the collisions in the orbit is achieved…

Dynamical Systems · Mathematics 2021-11-08 Skyler Simmons

Wheel-legged robots combine the advantages of both wheeled robots and legged robots, offering versatile locomotion capabilities with excellent stability on challenging terrains and high efficiency on flat surfaces. However, existing…

Robotics · Computer Science 2026-03-13 Yinglei Zhu , Sixiao He , Yan Ning , Zhenghao Qi , Zhuoyuan Yong , Yihua Qin , Jianyu Chen

Serially connected robots are promising candidates for performing tasks in confined spaces such as search-and-rescue in large-scale disasters. Such robots are typically limbless, and we hypothesize that the addition of limbs could improve…

Bead-based micro-swimmers are promising systems for payload delivery on the micro-scale. However, the principles underlying their optimal design are not yet fully understood. Here we study a simple device consisting of three…

Fluid Dynamics · Physics 2014-03-03 Jayant Pande , Ana-Sunčana Smith

We present two methods to interpolate between two given rigid body displacements. Both are based on linear interpolation in the ambient space of well-known curved point models for the group of rigid body displacements. The resulting motions…

Metric Geometry · Mathematics 2018-07-31 Hans-Peter Schröcker

Robot feet are crucial for maintaining dynamic stability and propelling the body during walking, especially on uneven terrains. Traditionally, robot feet were mostly designed as flat and stiff pieces of metal, which meets its limitations…

Robotics · Computer Science 2024-06-13 Cristina Piazza , Cosimo Della Santina , Giorgio Grioli , Antonio Bicchi , Manuel G. Catalano

While quadruped robots usually have good stability and load capacity, bipedal robots offer a higher level of flexibility / adaptability to different tasks and environments. A multi-modal legged robot can take the best of both worlds. In…

Robotics · Computer Science 2022-02-25 Chen Yu , Andre Rosendo

Fluid dynamics systems driven by dominant, nearly periodic large-scale dynamics are common across wakes, jets, rotating machinery, and high-speed flows. Traditional decomposition techniques such as proper orthogonal decomposition and…

Fluid Dynamics · Physics 2024-05-02 Akhileshwar Borra , Zoey Flynn , Andres Goza , Theresa Saxton-Fox

A robotic system can be viewed as a collection of lower-dimensional systems that are coupled via reaction forces (Lagrange multipliers) enforcing holonomic constraints. Inspired by this viewpoint, this paper presents a novel formulation for…

Systems and Control · Electrical Eng. & Systems 2020-03-20 Wen-Loong Ma , Noel Csomay-Shanklin , Aaron D. Ames

A safety-critical measure of legged locomotion performance is a robot's ability to track its desired time-varying position trajectory in an environment, which is herein termed as "global-position tracking". This paper introduces a nonlinear…

Robotics · Computer Science 2021-08-10 Yan Gu , Yuan Gao , Bin Yao , C. S. George Lee

Topological growth control allows to produce a narrow distribution of outgrown colloidal rods with defined and adjustable length. We use an external magnetic field to assemble paramagnetic colloidal spheres into colloidal rods of a chosen…

Kinematic structures are very common in the real world. They range from simple articulated objects to complex mechanical systems. However, despite their relevance, most model-based 3D tracking methods only consider rigid objects. To…

Computer Vision and Pattern Recognition · Computer Science 2023-02-20 Manuel Stoiber , Martin Sundermeyer , Wout Boerdijk , Rudolph Triebel

In both animals and robots, locomotion capabilities are determined by the physical structure of the system. The majority of legged animals and robots are bilaterally symmetric, which facilitates locomotion with consistent headings and…

Robotics · Computer Science 2024-02-08 Adam Joshua Hung , Challen Enninful Adu , Talia Y. Moore

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

To be useful tools in real scenarios, humanoid robots must realize tasks dynamically. This means that they must be capable of applying substantial forces, rapidly swinging their limbs, and also mitigating impacts that may occur during the…

Robotics · Computer Science 2023-07-25 Youngwoo Sim , Joao Ramos

Modular small-scale robots offer the potential for on-demand assembly and disassembly, enabling task-specific adaptation in dynamic and constrained environments. However, existing modular magnetic platforms often depend on workspace…

Robotics · Computer Science 2026-02-24 Erik Garcia Oyono , Jialin Lin , Dandan Zhang

We present an open-source untethered quadrupedal soft robot platform for dynamic locomotion (e.g., high-speed running and backflipping). The robot is mostly soft (80 vol.%) while driven by four geared servo motors. The robot's soft body and…

Robotics · Computer Science 2025-03-17 Boxi Xia , Jiaming Fu , Hongbo Zhu , Zhicheng Song , Yibo Jiang , Hod Lipson

The paper addresses geometric aspects of a spatial three-degree-of-freedom parallel module, which is the parallel module of a hybrid serial-parallel 5-axis machine tool. This parallel module consists of a moving platform that is connected…

Robotics · Computer Science 2007-07-06 Daniel Kanaan , Philippe Wenger , Damien Chablat

Consider a finite sequence of permutations of the elements 1,...,n, with the property that each element changes its position by at most 1 from any permutation to the next. We call such a sequence a tangle, and we define a move of element i…

Combinatorics · Mathematics 2015-08-18 Sergey Bereg , Alexander E. Holroyd , Lev Nachmanson , Sergey Pupyrev

This paper presents a novel modular robot system that can self-reconfigure to achieve omnidirectional movements for collaborative object transportation. Each robotic module is equipped with a steerable omni-wheel for navigation and is…

Robotics · Computer Science 2023-08-08 Meng Wang , Yao Su , Hang Li , Jiarui Li , Jixiang Liang , Hangxin Liu