Transmission Angle Analysis of a Type of Parallel Manipulators

In most research works, the conditioning index is used to analyze the kinematic performance of a type of parallel manipulators whose traveling plate has only translation in the workspace, and each limb is made up of three joints and two moving links. However, it is difficult to determine the reasona...

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Main Authors: Honglei Che, Congling Shi, Yu Wang
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/19/9468
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author Honglei Che
Congling Shi
Yu Wang
author_facet Honglei Che
Congling Shi
Yu Wang
author_sort Honglei Che
collection DOAJ
description In most research works, the conditioning index is used to analyze the kinematic performance of a type of parallel manipulators whose traveling plate has only translation in the workspace, and each limb is made up of three joints and two moving links. However, it is difficult to determine the reasonable limit value of the conditioning index as the design criterion. Therefore, this paper defines two types of transmission angles to evaluate the kinematic performance of parallel manipulators, with which the direct and indirect singularities can be identified in a straightforward manner. Taking both the Diamond and Delta parallel manipulators as examples, the relationships are investigated between the angles and the condition number of the Jacobian, which is a vital performance index for parallel manipulators throughout the workspace. Then, simulation studies are conducted to prove the effectiveness of two kinds of transmission angles for the Diamond and Delta robots. It indicates that the defined angles are well characterized compared with the condition number of the Jacobian matrix in evaluating the kinematic performance of the parallel manipulators and determining the workspace.
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spelling doaj.art-0c19a11690354b32a28838cafc645c432023-11-23T19:40:02ZengMDPI AGApplied Sciences2076-34172022-09-011219946810.3390/app12199468Transmission Angle Analysis of a Type of Parallel ManipulatorsHonglei Che0Congling Shi1Yu Wang2China Academy of Safety Science and Technology, Beijing 100012, ChinaChina Academy of Safety Science and Technology, Beijing 100012, ChinaChina Academy of Safety Science and Technology, Beijing 100012, ChinaIn most research works, the conditioning index is used to analyze the kinematic performance of a type of parallel manipulators whose traveling plate has only translation in the workspace, and each limb is made up of three joints and two moving links. However, it is difficult to determine the reasonable limit value of the conditioning index as the design criterion. Therefore, this paper defines two types of transmission angles to evaluate the kinematic performance of parallel manipulators, with which the direct and indirect singularities can be identified in a straightforward manner. Taking both the Diamond and Delta parallel manipulators as examples, the relationships are investigated between the angles and the condition number of the Jacobian, which is a vital performance index for parallel manipulators throughout the workspace. Then, simulation studies are conducted to prove the effectiveness of two kinds of transmission angles for the Diamond and Delta robots. It indicates that the defined angles are well characterized compared with the condition number of the Jacobian matrix in evaluating the kinematic performance of the parallel manipulators and determining the workspace.https://www.mdpi.com/2076-3417/12/19/9468parallel manipulatortransmission anglesingular configuration
spellingShingle Honglei Che
Congling Shi
Yu Wang
Transmission Angle Analysis of a Type of Parallel Manipulators
Applied Sciences
parallel manipulator
transmission angle
singular configuration
title Transmission Angle Analysis of a Type of Parallel Manipulators
title_full Transmission Angle Analysis of a Type of Parallel Manipulators
title_fullStr Transmission Angle Analysis of a Type of Parallel Manipulators
title_full_unstemmed Transmission Angle Analysis of a Type of Parallel Manipulators
title_short Transmission Angle Analysis of a Type of Parallel Manipulators
title_sort transmission angle analysis of a type of parallel manipulators
topic parallel manipulator
transmission angle
singular configuration
url https://www.mdpi.com/2076-3417/12/19/9468
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AT conglingshi transmissionangleanalysisofatypeofparallelmanipulators
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