Show simple item record

dc.contributor.authorLópez Rosado, Alberto
dc.date.accessioned2019-10-03T07:50:50Z
dc.date.available2019-10-03T07:50:50Z
dc.date.issued2019
dc.identifier.issn1024-123Xspa
dc.identifier.urihttp://hdl.handle.net/10641/1680
dc.description.abstractThis article introduces new types of rational approximations of the inverse involute function, widely used in gear engineering, allowing the processing of this function with a very low error. (is approximated function is appropriate for engineering applications, with a much reduced number of operations than previous formulae in the existing literature, and a very efficient computation. The proposed expressions avoid the use of iterative methods. The theoretical foundations of the approximation theory of rational functions, the Chebyshev and Jacobi polynomials that allow these approximations to be obtained, are presented in this work, and an adaptation of the Remez algorithm is also provided, which gets a null error at the origin. This way, approximations in ranges or degrees different from those presented here can be obtained. A rational approximation of the direct involute function is computed, which avoids the computation of the tangent function. Finally, the direct polar equation of the circle involute curve is approximated with some application examples.eng
dc.language.isoengspa
dc.publisherMathematical Problems in Engineeringspa
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.titleAn Analytic Expression for the Inverse Involute.spa
dc.typearticlespa
dc.description.versionpost-printspa
dc.rights.accessRightsopenAccessspa
dc.description.extent67 KBspa
dc.identifier.doi10.1155/2019/3586012spa


Files in this item

FilesSizeFormatView
Inverse involute Formulae Data.xlsx66.30KbMicrosoft Excel 2007View/Open
Alberto López.pdf1.505MbPDFView/Open

This item appears in the following Collection(s)

Show simple item record

Atribución-NoComercial-SinDerivadas 3.0 España
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España