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It is known that parallel manipulators suffer from singular configurations. Evaluating the distance between a given configuration to the closest singular one is of interest for industrial applications (e.g.\ singularity-free path planning).…

计算几何 · 计算机科学 2020-04-20 Aditya Kapilavai , Georg Nawratil

It is well-known that parallel manipulators are prone to singularities. However, there is still a lack of distance evaluation functions, referred to as metrics, for computing the distance between two 3-RPR configurations. The proposed…

机器人学 · 计算机科学 2023-09-22 Aditya Kapilavai , Georg Nawratil

This paper proposes a redundancy resolution algorithm for a redundant manipulator based on dynamic programming. This algorithm can compute the desired joint angles at each point on a pre-planned discrete path in Cartesian space, while…

机器人学 · 计算机科学 2024-11-27 Zhihang Yin , Fa Wu , Ruofan Bian , Ziqian Wang , Jianmin Yang , Jiyong Tan , Dexing Kong

We develop an algorithm that solves the inverse kinematics of general serial 2RP3R, 2R2P2R, 3RP2R and 6R manipulators based on the HuPf algorithm. We identify the workspaces of the 3-subchains of the manipulator with a quasi-projective…

机器人学 · 计算机科学 2019-06-20 Jose Capco , Manuel Joseph C. Loquias , Saraleen Mae M. Manongsong , Fidel R. Nemenzo

The aim of this paper is to characterize the notion of aspect in the workspace and in the joint space for parallel manipulators. In opposite to the serial manipulators, the parallel manipulators can admit not only multiple inverse kinematic…

机器人学 · 计算机科学 2007-07-16 Damien Chablat , Philippe Wenger

The aim of this paper is to give a detailed examination of the input and output singularities of a 3-RUU parallel manipulator in the translational operation mode. This task is achieved by using algebraic constraint equations. For this type…

机器人学 · 计算机科学 2021-03-17 Thomas Stigger , Johannes Siegele , Daniel F. Scharler , Martin Pfurner , Manfred L. Husty

This paper investigates a situation pointed out in a recent paper, in which a non-singular change of assembly mode of a planar 2-RPR-PR parallel manipulator was realized by encircling a point of multiplicity 4. It is shown that this…

机器人学 · 计算机科学 2016-05-02 Michel Coste , Philippe Wenger , Damien Chablat

This paper deals with the comparison of planar parallel manipulator architectures based on a multi-objective design optimization approach. The manipulator architectures are compared with regard to their mass in motion and their regular…

机器人学 · 计算机科学 2010-12-14 Damien Chablat , Stéphane Caro , Raza Ur-Rehman , Philippe Wenger

This paper presents the kinematic analysis of the 3-PPPS parallel robot with an equilateral mobile platform and a U-shape base. The proposed design and appropriate selection of parameters allow to formulate simpler direct and inverse…

机器人学 · 计算机科学 2017-06-30 Damien Chablat , Luc Baron , Ranjan Jha

Presented in this paper is the kinematic analysis of a symmetrical three-degree-of-freedom planar parallel manipulator. In opposite to serial manipulators, parallel manipulators can admit not only multiple inverse kinematic solutions, but…

机器人学 · 计算机科学 2007-05-23 Damien Chablat , Philippe Wenger

Recursive matrix relations for the complete dynamics of a 3-PRP planar parallel robot are established in this paper. Three identical planar legs connecting to the moving platform are located in the same vertical plane. Knowing the motion of…

机器人学 · 计算机科学 2012-09-13 Stefan Staicu , Damien Chablat

The paper proposes a new calibration method for parallel manipulators that allows efficient identification of the joint offsets using observations of the manipulator leg parallelism with respect to the base surface. The method employs a…

机器人学 · 计算机科学 2009-09-22 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

The closest pair of points problem or closest pair problem (CPP) is an important problem in computational geometry where we have to find a pair of points from a set of points in metric space with the smallest distance between them. This…

数据结构与算法 · 计算机科学 2020-08-03 Subrata Saha , Ahmed Soliman , Sanguthevar Rajasekaran

A family of 3R orthogonal manipulators without offset on the third body can be divided into exactly nine workspace topologies. The workspace is characterized in a half-cross section by the singular curves. The workspace topology is defined…

机器人学 · 计算机科学 2007-07-25 Maher Baili , Damien Chablat , Philippe Wenger

In this paper, a new numerical method to solve the forward kinematics (FK) of a parallel manipulator with three-limb spherical-prismatic-revolute (3SPR) structure is presented. Unlike the existing numerical approaches that rely on…

机器人学 · 计算机科学 2022-06-01 Masoud Roudneshin , Kamran Ghaffari , Amir G. Aghdam

Many parallel and distributed computing research results are obtained in simulation, using simulators that mimic real-world executions on some target system. Each such simulator is configured by picking values for parameters that define the…

分布式、并行与集群计算 · 计算机科学 2024-07-03 Jesse McDonald , Maximilian Horzela , Frédéric Suter , Henri Casanova

This paper presents a novel three-degree-of-freedom (3-DOF) translational parallel manipulator (TPM) by using a topological design method of parallel mechanism (PM) based on position and orientation characteristic (POC) equations. The…

机器人学 · 计算机科学 2021-06-09 Huiping Shen , Yinan Zhao , Ju Li , Guanglei Wu , Damien Chablat

A family of reconfigurable parallel robots can change motion modes by passing through constraint singularities by locking and releasing some passive joints of the robot. This paper is about the kinematics, the workspace and singularity…

机器人学 · 计算机科学 2017-08-08 Damien Chablat , Xianwen Kong , Chengwei Zhang

In this paper, we study the computation of curvatures at the singular points of algebraic curves and surfaces. The idea is to convert the problem to compute the curvatures of the corresponding regular parametric curves and surfaces, which…

微分几何 · 数学 2014-05-20 Chong-Jun Li , Ren-Hong Wang

In this paper, we introduce and study the Parallel Polyhedral Projection Method (3PM) and the Approximate Parallel Polyhedral Projection Method (A3PM) for finding a point in the intersection of finitely many closed convex sets. Each…

最优化与控制 · 数学 2025-06-27 Pablo Barros , Roger Behling , Vincent Guigues