Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4476
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dc.contributor.authorKiper, Gökhan-
dc.contributor.authorBilgincan, Tunç-
dc.date.accessioned2016-03-15T12:57:05Z-
dc.date.available2016-03-15T12:57:05Z-
dc.date.issued2015-08-
dc.identifier.citationKiper, G., & Tunç, B. (2015). Function generation synthesis of spherical 5R mechanism with regional spacing and Chebyshev approximation. Mechanism and Machine Theory, 90, 37-46. doi:10.1016/j.mechmachtheory.2015.03.001en_US
dc.identifier.issn0094-114X-
dc.identifier.issn1873-3999-
dc.identifier.urihttp://doi.org/10.1016/j.mechmachtheory.2015.03.001-
dc.identifier.urihttp://hdl.handle.net/11147/4476-
dc.description.abstractThe Chebyshev approximation is well known to be applicable for the approximation of single input–single output functions by means of a function generator mechanism. The approximation method may be also applied to multi-input functions, although until recently, it was not used for function generation with multi-degrees-of-freedom mechanisms. In a recent study, the authors applied the approximation method to a two-degrees-of-freedom mechanism for the first time, however the selection and iteration of the design points at which the errors were minimized were not satisfactory. In this study, an alternative method of selection and iteration for these design points is introduced and the corresponding spacing is called the “regional spacing”. As a case study for the application of the approximation of multi-input functions, a spherical 5R mechanism is used to generate a two input-single-output function. The input joints of the mechanism are selected as one of the fixed joints and the moving mid-joint, whereas the remaining fixed joint represents the output. The synthesis problem is analytically formulated and presented in polynomial form for five and six unknown parameters. The synthesis problem for five unknown parameters is illustrated as a numerical example. Regional spacing is used for the selection and iteration of design points for the synthesis. The Chebyshev approximation along with the Remez algorithm is utilized to find the unknown construction parameters and the error of the function. The design points and the coefficients of the approximation polynomial are determined by numerical iteration using six moving points. At each iteration step, the design points are relocated at the extremum error points in their respective regions. Iterations are repeated until the magnitudes of the extremum point errors are approximately equal. Finally, the construction parameters of the mechanism are determined and the variation of the percentage error between the desired and generated function values is obtained.en_US
dc.language.isoenen_US
dc.publisherElsevier Ltd.en_US
dc.relation.ispartofMechanism and Machine Theoryen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFunction generation synthesisen_US
dc.subjectChebyshev approximation of bivariate functionsen_US
dc.subjectSpherical five bar mechanismen_US
dc.subjectRemez algorithmen_US
dc.subjectRegional spacingen_US
dc.titleFunction generation synthesis of spherical 5R mechanism with regional spacing and Chebyshev approximationen_US
dc.typeArticleen_US
dc.authoridTR24470en_US
dc.institutionauthorKiper, Gökhan-
dc.departmentİzmir Institute of Technology. Mechanical Engineeringen_US
dc.identifier.volume90en_US
dc.identifier.startpage37en_US
dc.identifier.endpage46en_US
dc.identifier.wosWOS:000353985200003en_US
dc.identifier.scopus2-s2.0-84924942418en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1016/j.mechmachtheory.2015.03.001-
dc.relation.doi10.1016/j.mechmachtheory.2015.03.001en_US
dc.coverage.doi10.1016/j.mechmachtheory.2015.03.001en_US
dc.identifier.wosqualityQ2-
dc.identifier.scopusqualityQ1-
item.fulltextWith Fulltext-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
item.languageiso639-1en-
crisitem.author.dept03.10. Department of Mechanical Engineering-
crisitem.author.dept03.10. Department of Mechanical Engineering-
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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