INVARIANT ALGORITHMS OF SPATIAL CONSTRUCTIONS ELEMENTS FORMING AND CUTTING / Berestova S. A.,Belyaeva Z. V.,Misura N. E.,Mityushov E. A. // . - 2015. - V. , l. . - P. 401-412.

ISSN/EISSN:

нет данных / нет данных

Type:

Proceedings 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 piecewise-smooth structures composed of surface elements with zero Gaussian curvature. General algorithms are presented for finding cutting lines for cylindrically and conically-shaped 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

DOI:

нет данных

Web of Science ID:

ISI:000380495200034

Соавторы в МНС:

Другие поля

Поле	Значение
Editor	Onate, E and Bletzinger, KU and Kroplin, B
Booktitle	TEXTILE COMPOSITES AND INFLATABLE STRUCTURES VII
Note	VII International Conference on Textile Composites and Inflatable Structures, Barcelona, SPAIN, OCT 19-21, 2015
Organization	Universitat Politecnica Catalunya Spain; European Commun Computat Methods Applied Sci; Int Assoc Computat Mechan; Technische Universitat Munchen Germany; Int Ctr Numer Methods Engn Barcelona Spain; German Assoc Computat Mechanichs; Int Assoc Shell Spatial Structures; Build Air Ingenieria Arquitectura S A; TAO GmbH Stuttgart Germany; Tensinet
Publisher	INT CENTER NUMERICAL METHODS ENGINEERING
Address	GRAN CAPITAN, S-N, CAMPUS NORTE UPC, MODULO C1, 08034 BARCELONA, SPAIN
Language	English
ISBN	978-84-944244-8-9
Research-Areas	Materials Science
Web-of-Science-Categories	Materials Science, Textiles
Author-Email	mityushov-e@mail.ru
Usage-Count-Last-180-days	3
Usage-Count-Since-2013	3
Doc-Delivery-Number	BF2SF