Optimal selection of precision points for function synthesis of spherical 4R linkage

Abstract In order to reduce synthesis error, a new approach is reported to select precision points for function synthesis of spherical 4R linkages. Based on a closed-form symbolic solution of the set of function synthesis equations of spherical 4R linkages, the structure error equation has been deri...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part C, Journal of mechanical engineering science Vol. 223; no. 9; pp. 2183 - 2189
Main Authors: Suixian, Y, Hong, Y, Tian, G Y
Format: Journal Article
Language:English
Published: London, England SAGE Publications 01.09.2009
SAGE PUBLICATIONS, INC
Subjects:
Accuracy
Algorithms
Construction
Errors
Exact solutions
Fractals
Interpolation
Linkages
Mathematical analysis
Mathematical models
Mechanical engineering
Optimization
Optimization algorithms
Scaling factors
Searching
Synthesis
spherical 4R linkage
optimal selection
function synthesis
precision point
fractal algorithm
ISSN:0954-4062, 2041-2983
Online Access:Get full text
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Summary:Abstract In order to reduce synthesis error, a new approach is reported to select precision points for function synthesis of spherical 4R linkages. Based on a closed-form symbolic solution of the set of function synthesis equations of spherical 4R linkages, the structure error equation has been derived by introducing a scaling factor. After this, an optimization model was constructed to search for the precision points. The initial solution of the optimization model was chosen using a numerical interpolation method. The global optimal solution was obtained using the fractal algorithm. To illustrate this, an example is presented and discussed before finally deriving conclusions.
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ISSN:0954-4062
2041-2983
DOI:10.1243/09544062JMES1413