Design of Functional Surfaces in CAD System of SolidWorks via Specialized Software

Kholodniak, Yuliia; Havrylenko, Yevhen; Pykhtieieva, Iryna; Shcherbyna, Viktor

doi:10.1007/978-3-030-14918-5_7

Cited by 3 publications

(3 citation statements)

References 12 publications

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“…The contour is formed by sections of analytically defined curves, which are connected at output points with a specified order of smoothness [ 7 ]. These are methods of interpolation by sections of second-order curves, Bézier curves, and B-splines [ 8 , 9 , 10 , 11 , 12 ].…”

Section: Introductionmentioning

confidence: 99%

Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve

Havrylenko

Kholodniak

Halko

et al. 2021

Entropy

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The paper addresses the problem of modeling a smooth contour interpolating a point series belonging to a curve containing no special points, which represents the original curve with specified accuracy. The contour is formed within the area of possible location of the parts of the interpolated curve along which the curvature values are monotonously increased or decreased. The absolute interpolation error of the point series is estimated by the width of the area of possible location of the curve. As a result of assigning each intermediate point, the location of two new sections of the curve that lie within the area of the corresponding output section is obtained. When the interpolation error becomes less than the given value, the area of location of the curve is considered to be formed, and the resulting point series is interpolated by a contour that lies within the area. The possibility to shape the contours with arcs of circles specified by characteristics is investigated.

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Section: Introductionmentioning

confidence: 99%

Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve

Havrylenko

Kholodniak

Halko

et al. 2021

Entropy

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“…Examples of such products are automobile and aircraft hulls, working units of agricultural machinery and turbine blades. The main functional characteristic of the surfaces bounding such items is the laminar nature of their flow around by the environment [ 3 , 4 , 5 ].…”

Section: Introductionmentioning

confidence: 99%

Representation of a Monotone Curve by a Contour with Regular Change in Curvature

Havrylenko

Kholodniak

Halko

et al. 2021

Entropy

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The problem of modelling a smooth contour with a regular change in curvature representing a monotone curve with specified accuracy is solved in this article. The contour was formed within the area of the possible location of a convex curve, which can interpolate a point series. The assumption that if a sequence of points can be interpolated by a monotone curve, then the reference curve on which these points have been assigned is monotone, provides the opportunity to implement the proposed approach to estimate the interpolation error of a point series of arbitrary configuration. The proposed methods for forming a convex regular contour by arcs of ellipses and B-spline ensure the interpolation of any point series in parts that can be interpolated by a monotone curve. At the same time, the deflection of the contour from the boundaries of the area of the possible location of the monotone curve can be controlled. The possibilities of the developed methods are tested while solving problems of the interpolation of a point series belonging to monotone curves. The problems are solved in the CAD system of SolidWorks with the use of software application created based on the methods developed in the research work.

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“…В процесі моделювання область можливого розв ' Постановка проблеми. Проектування виробів, які взаємодіють із середовищем (канали двигунів внутрішнього згоряння, робочі органи сільськогосподарських машин, крило літака тощо) передбачає моделювання складних поверхонь з підвищеними динамічними якостями [1][2][3][4]. Такі поверхні можуть бути сформовані на основі дискретного лінійчатого каркасу.…”

Section: розв'язання позиційних задач при моделюванні монотонних крив...unclassified

Solution of Positional Problems at Modeling of Monotonous Curves

Kholodniak¹,

Havrylenko²

2022

Mpom24

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Design of Functional Surfaces in CAD System of SolidWorks via Specialized Software

Cited by 3 publications

References 12 publications

Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve

Interpolation with Specified Error of a Point Series Belonging to a Monotone Curve

Representation of a Monotone Curve by a Contour with Regular Change in Curvature

Solution of Positional Problems at Modeling of Monotonous Curves

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