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A linkage mechanism consists of rigid bodies assembled by joints which can be used to translate and transfer motion from one form in one place to another. In this paper, we are particularly interested in a family of spacial linkage…

Exactly Solvable and Integrable Systems · Physics 2019-09-30 Shizuo Kaji , Kenji Kajiwara , Hyeongki Park

We introduce a compactification of the group of rigid motions in 3-space derived from the Study model for this group. We use this compactifi-cation in robot kinematics, by considering the boundary of the configuration space of a robot. We…

Algebraic Geometry · Mathematics 2019-10-02 Nestor Djintelbe , Michel Coste

The shaking force balancing is a well-known problem in the design of high-speed robotic systems because the variable dynamic loads cause noises, wear and fatigue of mechanical structures. Different solutions, for full or partial shaking…

Robotics · Computer Science 2020-11-17 Jing Geng , Vigen Arakelian , Damien Chablat

We propose an effective method for solving the inverse kinematic problem of a specific model of 6-degree-of-freedom (6-DOF) robot manipulator using computer algebra. It is known that when the rotation axes of three consecutive rotational…

Robotics · Computer Science 2025-09-09 Takumu Okazaki , Akira Terui , Masahiko Mikawa

A kinematic chain in three-dimensional Euclidean space consists of $n$ links that are connected by spherical joints. Such a chain is said to be within a closed configuration when its link lengths form a closed polygonal chain in three…

Robotics · Computer Science 2021-08-02 Gerhard Zangerl , Alexander Steinicke

A 3D pendulum consists of a rigid body, supported at a fixed pivot, with three rotational degrees of freedom. The pendulum is acted on by a gravitational force. Symmetry assumptions are shown to lead to the planar 1D pendulum and to the…

Dynamical Systems · Mathematics 2007-07-10 Nalin A. Chaturvedi , Taeyoung Lee , Melvin Leok , N. Harris McClamroch

In the history of mechanics, there have been two points of view for studying mechanical systems: The Newtonian and the Cartesian. According the Descartes point of view, the motion of mechanical systems is described by the first-order…

Dynamical Systems · Mathematics 2015-05-13 Rafael Ramirez , Natalia Sadovskaia

The aim of this paper is to characterize the moveability of fully-parallel manipulators in the presence of obstacles. Fully parallel manipulators are used in applications where accuracy, stiffness or high speeds and accelerations are…

Robotics · Computer Science 2007-07-16 Damien Chablat , Philippe Wenger

This work designs a mechanical tool for robots with 2-finger parallel grippers, which extends the function of the robotic gripper without additional requirements on tool exchangers or other actuators. The fundamental kinematic structure of…

Robotics · Computer Science 2019-06-25 Zhengtao Hu , Weiwei Wan , Kensuke Harada

The determination of the mobility of parallel mechanisms (PM) is a fundamental problem. An automatic and intelligent analysis platform will be a significant tool for the design and optimization of mechanical systems. Based on the theory of…

Robotics · Computer Science 2019-07-22 Xiaorong Zhu , Huiping Shen , Chengqi Wu , Damien Chablat , Tingli Yang

Combining off-the-shelf components with 3D-printing, the Wheelbot is a symmetric reaction wheel unicycle that can jump onto its wheels from any initial position. With non-holonomic and under-actuated dynamics, as well as two coupled…

Robotics · Computer Science 2023-07-25 A. René Geist , Jonathan Fiene , Naomi Tashiro , Zheng Jia , Sebastian Trimpe

This paper considers the simultaneous position and orientation planning of nonholonomic multirobot systems. Different from common researches which only focus on final position constraints, we model the nonholonomic mobile robot as a rigid…

Robotics · Computer Science 2022-09-05 Xiaodong He , Zhongkui Li

We have built a 12DOF, passive-compliant legged, tailed biped actuated by four brushless DC motors. We anticipate that this machine will achieve varied modes of quasistatic and dynamic balance, enabling a broad range of locomotion tasks…

Robotics · Computer Science 2016-09-20 Avik De , Daniel E. Koditschek

Several publications are concerned with learning inverse kinematics, however, their evaluation is often limited and none of the proposed methods is of practical relevance for rigid-body kinematics with a known forward model. We argue that…

Robotics · Computer Science 2020-03-03 Tim von Oehsen , Alexander Fabisch , Shivesh Kumar , Frank Kirchner

This paper presents a comprehensive methodology for modeling an on-orbit assembly mission scenario of a large flexible structure using a multi-arm robot. This methodology accounts for significant changes in inertia and flexibility…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Ricardo Rodrigues , Valentin Preda , Francesco Sanfedino , Daniel Alazard

The paper is devoted to the compliance errors compensation for parallel manipulators under external loading. Proposed approach is based on the non-linear stiffness modeling and reduces to a proper adjusting of a target trajectory. In…

Robotics · Computer Science 2012-04-10 Alexandr Klimchik , Anatoly Pashkevich , Damien Chablat , Geir Hovland

This work investigates new kinematic features of parallel manipulators. It is well known that parallel manipulators admit generally several direct kinematic solutions for a given set of input joint values. The aim of this paper is to…

Robotics · Computer Science 2007-05-23 Philippe Wenger , Damien Chablat

In this paper, we present a new model of biped locomotion which is composed of three linear pendulums (one per leg and one for the whole upper body) to describe stance, swing and torso dynamics. In addition to double support, this model has…

Robotics · Computer Science 2016-05-11 Salman Faraji , Auke J. Ijspeert

Using an experimental optimization approach, this study investigated whether two human movements, pointing tasks and squat-jumps, could be modelled with a reduced set of kinematic parameters. Three sigmoid models were proposed to model the…

Quantitative Methods · Quantitative Biology 2013-05-16 Thomas Creveaux , Jérôme Bastien , Clément Villars , Pierre Legreneur

We study the efficiency of sliding locomotion for three-link bodies in the presence of dry (Coulomb) friction. Friction coefficient space can be partitioned into several regions, each with distinct types of efficient kinematics. These…

Biological Physics · Physics 2021-04-21 Silas Alben
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