Mechanical Engineering / Makina Mühendisliği
Permanent URI for this collectionhttps://hdl.handle.net/11147/4129
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Book Part Citation - WoS: 3Citation - Scopus: 4Function Generation Synthesis With a 2-Dof Overconstrained Double-Spherical 7r Mechanism Using the Method of Decomposition and Least Squares Approximation(Springer, 2014) Kiper, Gökhan; Bağdadioğlu, BarışThis study addresses the approximate function generation synthesis with an overconstrained two degrees-of-freedom double spherical 7R mechanism using least squares approximation with equal spacing of the design points on the input domain. The 7R mechanism is a constructed by combining a spherical 5R mechanism with a spherical 4R mechanism with distant centers and a common moving link and then removing the common link. This construction allows the analysis and synthesis of the re-sulting single-loop mechanism by decomposing it into fictitious 5R and 4R loops. The two inputs to the mechanism are provided in the 5R loop and the output is in the 4R loop. The fictitious output of the 5R loop is an input to the 4R loop this intermediate variable is used to also decompose the function to be generated. This decomposition provides the designer extra freedom in synthesis and enables de-creasing the error of approximation. A case study is presented at the end of the study where the 7R de-sign is compared with an equivalent spherical 5R mechanism; hence the advantage of the 7R mecha-nism is demonstrated.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.