Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4961
Title: Synthesis of function generating spherical four bar mechanism for the six independent parameters
Authors: Alizade, Rasim
Gezgin, Erkin
Keywords: Chebyshev approximation
Design and precision points
Interpolation
Least squares
Multiuser detection
Issue Date: Sep-2011
Publisher: Elsevier Ltd.
Source: Alizade, R., and Gezgin, E. (2011). Synthesis of function generating spherical four bar mechanism for the six independent parameters. Mechanism and Machine Theory, 46(9), 1316-1326. doi:10.1016/j.mechmachtheory.2011.04.002
Abstract: 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.
URI: http://doi.org/10.1016/j.mechmachtheory.2011.04.002
http://hdl.handle.net/11147/4961
ISSN: 0374-1052
0094-114X
Appears in Collections:Mechanical Engineering / Makina Mühendisliği
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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