Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
Permanent URI for this collectionhttps://hdl.handle.net/11147/7148
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Book Part Citation - Scopus: 4Derivation of Input/Output Relationships for the Bennett 6r Linkages Based on the Method of Decomposition(Springer, 2014) Alizade, Rasim; Kiper, Gökhan; Dede, Mehmet İsmet Can; Uzunoğlu, EmreThe Bennett overconstrained 6R linkages are the double-planar, the double-spherical and the plano-spherical 6R linkages. These mechanisms are obtained by combining simple planar and/or spher-ical mechanisms and then removing one of the common links. This paper presents the derivation of the input/output relationships for these mechanisms using the decomposition method. This method is based on writing the input/output equations for the two imaginary loops comprising the 6R mechanism and then eliminating the imaginary joint variable. It is found that the resulting input/output equations con-tain up to 4th power of trigonometric terms, such as cos4 θ.Article Citation - WoS: 11Citation - Scopus: 12Function Synthesis of Bennett 6r Mechanisms Using Chebyshev Approximation(Elsevier, 2014) Alizade, Rasim I.; Kiper, Gökhan; Bağdadioğlu, Barış; Dede, Mehmet İsmet CanThis 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.
