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A review of smart manufacturing reference models based on the skeleton meta-model
Soonhung Han 한국CDE학회 2020 Journal of computational design and engineering Vol.7 No.3
Standards will allow interoperability among stakeholders in the upcoming super-connected world. A smart manufacturing reference model (SMRM) is under development inside JWG21 between ISO and IEC. Based on a dimensionality analysis and the skeleton meta-model, the eight proposed SMRMs are reviewed and compared. The SMRMs are classified according to the number of lifecycle axes and the number of dimensional axes. Also, how the concept of a digital twin can be accommodated in an SMRM is investigated.
Series representations for the rectification of a superhelix
Lim, Sungyeop,Han, Soonhung Elsevier 2018 Applied mathematical modelling Vol.56 No.-
<P><B>Abstract</B></P> <P>A superhelix is a curve that is helically coiled around a helix. Despite its importance in relation to the deformation modeling of various shapes, the superhelix is greatly overlooked, in part owing to its complexity and in part due to the lack of an analytical formula for its arc length. Deriving an exact analytical formula is not simple, because one needs to integrate a function without a closed-form integral solution to determine the arc length of a superhelix. In this study, we present a method by which to obtain the integral of the function that has no closed form integral by employing the series expansion approach of Maclaurin, as originally used to express the exact perimeter of an ellipse as an infinite sum. Our final expression of the arc length of a superhelix takes the form of two separate infinite sums, from which the one that converges is chosen to be applied, depending on the range of the geometric variables of the curve.</P> <P><B>Highlights</B></P> <P> <UL> <LI> A complete analytical formula for the arc length of a superhelix is presented. </LI> <LI> We integrated the function without a closed form integral by series expansion. </LI> <LI> This formula is useful for the deformation modeling of a rod. </LI> </UL> </P>