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We present a theoretical and numerical framework to compute bifurcations of equilibria and stability of slender elastic rods. The 3D kinematics of the rod is treated in a geometrically exact way by parameterizing the position of the…

Soft Condensed Matter · Physics 2012-12-27 A. Lazarus , J. T. Miller , P. M. Reis

<jats:title>Abstract</jats:title> <jats:p>In manufacturing industry, Computer Numerical Control (CNC) machines are often preferred over Industrial Serial Robots (ISR) for machining tasks. Indeed, CNC machines offer high positioning…

Robotics · Computer Science 2023-04-04 Angelica Ginnante , Stéphane Caro , Enrico Simetti , François Leborne

Choosing a kinematic model for a continuum robot typically involves making a tradeoff between accuracy and computational complexity. One common modeling approach is to use the Cosserat rod equations, which have been shown to be accurate for…

Robotics · Computer Science 2020-08-13 Andrew L. Orekhov , Nabil Simaan

Exoskeleton robots have become a promising tool in neurorehabilitation, offering effective physical therapy and recovery monitoring. The success of these therapies relies on precise motion control systems. Although computed torque control…

Robotics · Computer Science 2024-10-11 SK Hasan

We revisit the concept of constraint embedding as a means for dealing with kinematic loop constraints during dynamics computations for rigid-body systems. Specifically, we consider the local loop constraints emerging from common actuation…

Robotics · Computer Science 2024-10-24 Matthew Chignoli , Nicholas Adrian , Sangbae Kim , Patrick M. Wensing

We consider a simple dynamic model of the vibrating screen operating in the parametric resonance (PR) mode. This model was used in the course of designing and setting of such a screen in LPMC. The PR-based screen compares favorably with…

Classical Physics · Physics 2015-06-16 Leonid I. Slepyan , Victor I. Slepyan

Thanks to recent advancements in accelerating non-linear model predictive control (NMPC), it is now feasible to deploy whole-body NMPC at real-time rates for humanoid robots. However, enforcing inequality constraints in real time for such…

Robotics · Computer Science 2024-10-23 Charles Khazoom , Seungwoo Hong , Matthew Chignoli , Elijah Stanger-Jones , Sangbae Kim

There is increasing demand for automated systems that can fabricate 3D structures. Robotic spatial extrusion has become an attractive alternative to traditional layer-based 3D printing due to a manipulator's flexibility to print large,…

Robotics · Computer Science 2020-02-07 Caelan Reed Garrett , Yijiang Huang , Tomás Lozano-Pérez , Caitlin Tobin Mueller

We present a novel convex formulation that weakly couples the Material Point Method (MPM) with rigid body dynamics through frictional contact, optimized for efficient GPU parallelization. Our approach features an asynchronous time-splitting…

Robotics · Computer Science 2025-07-08 Chang Yu , Wenxin Du , Zeshun Zong , Alejandro Castro , Chenfanfu Jiang , Xuchen Han

In this paper we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the model which is in the form of an elliptic quasivariational…

Numerical Analysis · Mathematics 2023-09-11 Anna Ochal , Wiktor Prządka , Mircea Sofonea , Domingo A. Tarzia

Continuum robots with floating bases demonstrate exceptional operational capabilities in confined spaces, such as those encountered in medical surgeries and equipment maintenance. However, developing low-cost solutions for their motion and…

Robotics · Computer Science 2025-03-20 Congjun Ma , Quan Xiao , Liangcheng Liu , Xingxing You , Songyi Dian

A novel kinematically redundant (6+3)-DoF parallel robot is presented in this paper. Three identical 3-DoF RU/2-RUS legs are attached to a configurable platform through spherical joints. With the selected leg mechanism, the motors are…

Robotics · Computer Science 2023-04-26 Arda Yigit , David Breton , Zhou Zhou , Thierry Laliberte , Clement Gosselin

Recent strides in nonlinear model predictive control (NMPC) underscore a dependence on numerical advancements to efficiently and accurately solve large-scale problems. Given the substantial number of variables characterizing typical…

Robotics · Computer Science 2024-06-04 Wilson Jallet , Ewen Dantec , Etienne Arlaud , Justin Carpentier , Nicolas Mansard

Concentric Tube Robots (CTRs) have been proposed to operate within the unstructured environment for minimally invasive surgeries. In this letter, we consider the operation scenario where the tubes travel inside the channels with a large…

Robotics · Computer Science 2023-08-22 Zhouyu Zhang , Jia Shen , Junhyoung Ha , Yue Chen

Recursive matrix relations for kinematics and dynamics of the Orthoglide parallel robot having three concurrent prismatic actuators are established in this paper. These are arranged according to the Cartesian coordinate system with fixed…

Robotics · Computer Science 2009-10-21 Damien Chablat , Philippe Wenger , Stefan Staicu

This paper considers the problem of maintaining global connectivity of a multi-robot system while executing a desired coordination task. Our approach builds on optimization-based feedback design formulations, where the nominal cost function…

Optimization and Control · Mathematics 2023-06-29 Pio Ong , Beatrice Capelli , Lorenzo Sabattini , Jorge Cortes

Tendon-Driven Continuum Robots (TDCRs) pose significant modeling and control challenges due to complex nonlinearities, such as frictional hysteresis and transmission compliance. This paper proposes a differentiable learning framework that…

Robotics · Computer Science 2026-04-29 Ziqing Zou , Ke Qiu , Fei Wang , Haojian Lu , Rong Xiong , Yue Wang

We consider the problem of controlling an aerial robot connected to the ground by a passive cable or a passive rigid link. We provide a thorough characterization of this nonlinear dynamical robotic system in terms of fundamental properties…

Robotics · Computer Science 2017-12-20 Marco Tognon , Antonio Franchi

Soft robots are distinguished by their flexibility and adaptability, allowing them to perform nearly impossible tasks for rigid robots. However, controlling their behavior is challenging due to their nonlinear material response and infinite…

Robotics · Computer Science 2025-05-14 Juan C. Osorio , Jhonatan S. Rincon , Harith Morgan , Andres F. Arrieta

Traditional dynamic models of continuum robots are in general computationally expensive and not suitable for real-time control. Recent approaches using learning-based methods to approximate the dynamic model of continuum robots for control…

Robotics · Computer Science 2022-05-16 Xinran Wang , Nicolas Rojas
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