The Geometrical Analysis Accuracy for Parallel Robotic Mechanisms

The geometrical analysis of the robotic mechanisms means the formulation of the position equation of the mechanism in terms of dependent and independent coordinates. This function should describe the position of its links and the end effecter (or moving platform center) in terms of dependent and ind...

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Main Author: Hassan M. Alwan
Format: Article
Language:English
Published: Unviversity of Technology- Iraq 2011-11-01
Series:Engineering and Technology Journal
Subjects:
Online Access:https://etj.uotechnology.edu.iq/article_33237_18de8a606e61a1668bdb37cba9058ed4.pdf
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author Hassan M. Alwan
author_facet Hassan M. Alwan
author_sort Hassan M. Alwan
collection DOAJ
description The geometrical analysis of the robotic mechanisms means the formulation of the position equation of the mechanism in terms of dependent and independent coordinates. This function should describe the position of its links and the end effecter (or moving platform center) in terms of dependent and independent coordinates.In this paper will be derived a mathematical model, that is, a model in terms of dependent and independent generalized coordinates, for the position accuracy of the end effecter (platform) of the closed kinematics robotic mechanisms. In these types of mechanisms it is necessary to solve the inverse problem of the geometrical analysis. The solving of the inverse problem in the robotic systems means the definition of independent coordinates on preset values and evaluation of the dependent coordinates with several degrees of mobility. The aim of this paper is to obtain a new mathematical formulation for evaluation of the deviation of the end effecter position due to the deviation of the independent coordinates. It will be evaluated only the deformations of the arms caused by the weights and the forces.
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spelling doaj.art-4dfe354060784325bcb7f1f9c21bc9ed2024-02-04T17:42:43ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582011-11-0129153118312910.30684/etj.29.15.733237The Geometrical Analysis Accuracy for Parallel Robotic MechanismsHassan M. AlwanThe geometrical analysis of the robotic mechanisms means the formulation of the position equation of the mechanism in terms of dependent and independent coordinates. This function should describe the position of its links and the end effecter (or moving platform center) in terms of dependent and independent coordinates.In this paper will be derived a mathematical model, that is, a model in terms of dependent and independent generalized coordinates, for the position accuracy of the end effecter (platform) of the closed kinematics robotic mechanisms. In these types of mechanisms it is necessary to solve the inverse problem of the geometrical analysis. The solving of the inverse problem in the robotic systems means the definition of independent coordinates on preset values and evaluation of the dependent coordinates with several degrees of mobility. The aim of this paper is to obtain a new mathematical formulation for evaluation of the deviation of the end effecter position due to the deviation of the independent coordinates. It will be evaluated only the deformations of the arms caused by the weights and the forces.https://etj.uotechnology.edu.iq/article_33237_18de8a606e61a1668bdb37cba9058ed4.pdfparallel robotics mechanismsgeometrical analysisgough
spellingShingle Hassan M. Alwan
The Geometrical Analysis Accuracy for Parallel Robotic Mechanisms
Engineering and Technology Journal
parallel robotics mechanisms
geometrical analysis
gough
title The Geometrical Analysis Accuracy for Parallel Robotic Mechanisms
title_full The Geometrical Analysis Accuracy for Parallel Robotic Mechanisms
title_fullStr The Geometrical Analysis Accuracy for Parallel Robotic Mechanisms
title_full_unstemmed The Geometrical Analysis Accuracy for Parallel Robotic Mechanisms
title_short The Geometrical Analysis Accuracy for Parallel Robotic Mechanisms
title_sort geometrical analysis accuracy for parallel robotic mechanisms
topic parallel robotics mechanisms
geometrical analysis
gough
url https://etj.uotechnology.edu.iq/article_33237_18de8a606e61a1668bdb37cba9058ed4.pdf
work_keys_str_mv AT hassanmalwan thegeometricalanalysisaccuracyforparallelroboticmechanisms
AT hassanmalwan geometricalanalysisaccuracyforparallelroboticmechanisms