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The paper proposes an efficient algebraic solution to the problem of forward kinematics for a general Stewart-Gough platform. The problem involves determining all possible postures of a mobile platform connected to a fixed base by six legs,…

Robotics · Computer Science 2025-09-09 Evgeniy Martyushev

Inverse kinematics - finding joint poses that reach a given Cartesian-space end-effector pose - is a common operation in robotics, since goals and waypoints are typically defined in Cartesian space, but robots must be controlled in joint…

Robotics · Computer Science 2022-08-30 Barrett Ames , Jeremy Morgan , George Konidaris

A comprehensive study is performed of general massive, scalar, two-loop Feynman diagrams with three external legs. Algorithms for their numerical evaluation are introduced and discussed, numerical results are shown for all different…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Ferroglia , G. Passarino , M. Passera , S. Uccirati

As the pace of AI technology continues to accelerate, more tools have become available to researchers to solve longstanding problems, Hybrid approaches available today continue to push the computational limits of efficiency and precision.…

Robotics · Computer Science 2024-06-21 Enoch Adediran , Salem Ameen

Cable-Driven Parallel Robots (CDPRs) offer high payload capacities, large translational workspace and high dynamic performances. The rigid base frame of the CDPR is connected in parallel to the moving platform using cables. However, their…

Robotics · Computer Science 2021-01-11 Marceau Métillon , Philippe Cardou , Kévin Subrin , Camilo Charron , Stéphane Caro

Through the implementation of reconfigurability to achieve flexibility and adaptation to tasks by morphology changes rather than by increasing the number of joints, malleable robots present advantages over traditional serial robot arms in…

Robotics · Computer Science 2024-07-03 Angus B. Clark , Nicolas Rojas

This paper presents causal block-diagram models to represent the equations of motion of multi-body systems in a very compact and simple closed form. Both the forward dynamics (from the forces and torques imposed at the various…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Daniel Alazard , Francesco Sanfedino , Ervan Kassarian

One of the most challenging issues in adaptive control of robot manipulators with kinematic uncertainties is requirement of the inverse of Jacobian matrix in regressor form. This requirement is inevitable in the case of the control of…

Systems and Control · Electrical Eng. & Systems 2021-02-26 M. Reza J. Harandi , S. A. Khalilpour , Hamid. D. Taghirad , Jose Guadalupe Romero

Described here is a simple, reliable, and quite general method for rapid computation of robot arm inverse kinematic solutions and motion path plans in the presence of complex obstructions. The method derived from the MSC (map-seeking…

Computer Vision and Pattern Recognition · Computer Science 2020-04-16 David W. Arathorn

We present a kinematic and transmission-aware design framework for a serial spherical mechanism with an additional translational degree of freedom for microsurgery. The first contribution is an analytical workspace formulation that provides…

Robotics · Computer Science 2026-05-26 Anestis Mablekos-Alexiou , Lyndon da Cruz , Christos Bergeles

Underground mining robots are increasingly operated in virtual environments (VEs) for training, planning, and digital-twin applications, where reliable kinematics is essential for avoiding hazardous in-situ trials. Unlike typical open-chain…

Graphics · Computer Science 2026-03-24 Shengzhe Hou , Xinming Lu , Tianyu Zhang , Changqing Yan , Xingli Zhang

This paper addresses the workspace analysis of the orthoglide, a 3-DOF parallel mechanism designed for machining applications. This machine features three fixed parallel linear joints which are mounted orthogonally and a mobile platform…

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

In the modern days, manipulators are found in the automated assembly lines of industries that produce products in masses. These manipulators can be used only in one configuration, that is either serial or parallel. In this paper, a new…

Robotics · Computer Science 2021-07-28 Rajashekhar Vachiravelu Saminathan

This paper demonstrates that any general 3-DOF three-legged planar parallel robot with extensible legs can change assembly modes without passing through parallel singularities (configurations where the mobile platform loses its stiffness).…

Robotics · Computer Science 2008-09-22 Ilian Bonev , Sébastien Briot , Philippe Wenger , Damien Chablat

The paper focuses on the accuracy improvement of stiffness models for parallel manipulators, which are employed in high-speed precision machining. It is based on the integrated methodology that combines analytical and numerical techniques…

Robotics · Computer Science 2009-09-09 Anatoly Pashkevich , Alexandr Klimchik , Damien Chablat , Philippe Wenger

A linear pentapod is a parallel manipulator with five collinear anchor points on the motion platform (end-effector), which are connected via extendible legs to the base. This manipulator has five controllable degrees-of-freedom and the…

Robotics · Computer Science 2017-12-01 Arvin Rasoulzadeh , Georg Nawratil

We propose two general operations on finite element differential complexes on cubical meshes that can be used to construct and analyze sequences of "nonstandard" convergent methods. The first operation, called DoF-transfer, moves edge…

Numerical Analysis · Mathematics 2018-04-13 Andrew Gillette , Kaibo Hu , Shuo Zhang

The kinematics recursive equation was built by using the modified D-H method after the structure of rehabilitation lower extremity exoskeleton was analyzed. The numerical algorithm of inverse kinematics was given too. Then the…

Robotics · Computer Science 2014-01-28 Jiangcheng Chen , Xiaodong Zhang , Lei Zhu

The paper proposes a novel calibration approach for the Orthoglide-type mechanisms based on observations of the manipulator leg parallelism during mo-tions between the prespecified test postures. It employs a low-cost measuring system…

Robotics · Computer Science 2007-11-13 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

Screw theory provides geometrical insight into the mechanics of rigid bodies. Screw axis is defined as the line coinciding with the joint axis. Line transformations in the form of a screw operator are used to determine the joint axes of a…

Robotics · Computer Science 2019-06-07 Amir Ziai