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A Parametrization-Invariant Fourier Approach to Planar Linkage Synthesis for Path Generation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-07
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper deals with the classic problem of the synthesis of planar linkages for path generation.
Based on the Fourier theory, the task curve and the synthesized four-bar coupler curve are regarded as the same curve if their Fourier descriptors match.
Using Fourier analysis, a curve must be given as a function of time, termed a parametrization.
In practical applications, different parametrizations can be associated with the same task and coupler curve, respectively; however, these parametrizations are Fourier analyzed to different Fourier descriptors, thus resulting in the mismatch of the task and coupler curve.
In this paper, we present a parametrization-invariant method to eliminate the influence of parametrization on the values of Fourier descriptors by unifying given parametrizations to the arc length parametrization; meanwhile, a new design space decoupling scheme is introduced to separate the shape, size, orientation, and location matching of the task and four-bar curve, which leads naturally to an efficient synthesis approach.
American Psychological Association (APA)
Li, Xiangyun& Chen, Peng. 2017. A Parametrization-Invariant Fourier Approach to Planar Linkage Synthesis for Path Generation. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1192348
Modern Language Association (MLA)
Li, Xiangyun& Chen, Peng. A Parametrization-Invariant Fourier Approach to Planar Linkage Synthesis for Path Generation. Mathematical Problems in Engineering No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1192348
American Medical Association (AMA)
Li, Xiangyun& Chen, Peng. A Parametrization-Invariant Fourier Approach to Planar Linkage Synthesis for Path Generation. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1192348
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192348