Invariant algorithms of spatial constructions elements forming and cutting / Berestova S.A., Belyaeva Z.V., Misura N.E., Mityushov E.A. // Proceedings of the 7th International Conference on Textile Composites and Inflatable Structures, STRUCTURAL MEMBRANES 2015. - 2015. - V. , l. . - P. 401-412.

ISSN:

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Type:

Conference Paper

Abstract:

This report clearly demonstrates the capabilities of an advanced research area of applied mathematics, i.e., computational geometry to be applied for shaping dimensional structures. Vector-matrix models are provided to cover the composite membrane piecewisesmooth structures composed of surface elements with zero Gaussian curvature. General algorithms are presented for finding cutting lines for cylindrically and conicallyshaped elements, into which the curves contained in the developable surfaces transform. A dome-like peak-shaped structure comprising components of both cylindrical and conical shape is given as an example to present equations describing the cutting lines explicitly, which makes it possible to implement a high-precision technique for producing such a structure.

Author keywords:

Cutting line; Involute plane; Shaping

Index keywords:

Algorithms; Composite membranes; Computational geometry; Textiles; Advanced researches; Cutting lines; Developable surfaces; Dimensional structures; Invariant algorithms; Involute plane; Shaping; Spat

DOI:

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Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84960898011&partnerID=40&md5=2e5d46934b82f0485977dde93b42072c

Соавторы в МНС:

Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84960898011&partnerID=40&md5=2e5d46934b82f0485977dde93b42072c
Affiliations	Federal State Autonomous Educational Institution of Higher Professional Education, Ural Federal University, 19 Mira street, Ekaterinburg, Russian Federation
Author Keywords	Cutting line; Involute plane; Shaping
Editors	Onate E.Kroplin B.Bletzinger K.-U.
Publisher	International Center for Numerical Methods in Engineering
Conference name	7th International Conference on Textile Composites and Inflatable Structures, STRUCTURAL MEMBRANES 2015
Conference date	19 October 2015 through 21 October 2015
Conference code	117180
ISBN	9788494424489
Language of Original Document	English
Abbreviated Source Title	Proc. Int. Conf. Text. Compos. Inflatable Struct., STRUCTURAL MEMBRANES
Source	Scopus