WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7150

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2011 - 20142

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Subject: search.filters.subject.Chebyshev approximation

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  • Article
    Citation - WoS: 24
    Citation - Scopus: 26
    Synthesis of Function Generating Spherical Four Bar Mechanism for the Six Independent Parameters
    (Elsevier Ltd., 2011) Alizade, Rasim; Gezgin, Erkin
    This study deals with the function generation synthesis of spherical four bar mechanism for six independent construction parameters φ0, ψ0, α1, α2, α3, and α4 by giving six or more design points with respect to the methods that are used in synthesis procedure. Quaternion algebra is used to derive the objective function of spherical four bar mechanism by following some rotational sequences. Three different methods as interpolation approximation, least squares approximation and Chebyshev approximation are used during synthesis procedure. During the consecutive trials in Chebyshev approximation, a new approach is taken to renew the design points φi by plotting the graph of the objective functions derivative and taking the roots of it as new design points with two boundary points. Separate examples are given for each section and the results are tabulated. Discussions about the study and comparisons between the used methods are given at the end of the study.
  • Article
    Citation - WoS: 11
    Citation - Scopus: 12
    Function Synthesis of Bennett 6r Mechanisms Using Chebyshev Approximation
    (Elsevier, 2014) Alizade, Rasim I.; Kiper, Gökhan; Bağdadioğlu, Barış; Dede, Mehmet İsmet Can
    This study focuses on approximate function synthesis of the three types of overconstrained Bennett 6R mechanisms using Chebyshev approximation. The three mechanisms are the double-planar, double-spherical and the plano-spherical 6R linkages. The single-loop 6R mechanisms are dissected into two imaginary loops and function synthesis is performed for both loops. First, the link lengths are employed as construction parameters of the mechanism. Then extra construction parameters for the input or output joint variables are introduced in order to increase the design points and hence enhance the accuracy of approximation. The synthesis formulations are applied computationally as case studies. The case studies illustrate how a designer can compare the three types of Bennett 6R mechanisms for the same function. Also we present a comparison of the spherical four-bar with the double-spherical 6R mechanism and show that the accuracy is improved when the 6R linkage is used.