ORTHOGONAL CURVED COORDINATE SYSTEM AND FORMING THE SURFACES ON TRAPEZIUM-CURVED PLANS

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Abstract

Thin space constructions on curved plans there are used at building of public structures, trade centers. Sport constructions. Working-out the methods of forming of the surfaces on the curved plans that is one of the modern task of the architecture and town building. The orthogonal coordinate system that is formed at the plane with some plane directrix curve and the system of the right lines orthogonal to the directrix curve there is regarded at the stat. The coordinate system forms some trapezium-curved segment. Taking some function of the vertical coordinate there is possible to receive different surfaces at the curved plans. Conjugating different directrix curves, it’s possible to receive the combined surfaces. The article presents a system of orthogonal coordinates of curvilinear-trapezoidal planes and methods for forming surfaces on these planes. Surfaces with a function of the vertical coordinate of a general view are considered, and surfaces on combined plans of segments of the same type are shown.

About the authors

V N Ivanov

Peoples’ Friendship University of Russia

Author for correspondence.
Email: i.v.ivn@mail.ru

Vyacheslav Nikolaevich Ivanov, doctor of technical science, professor of department of architecture and building of Peoples’ friendship university of Russia. Research interests: geometry, forming and methods of design of the thin space constructions of complex forms.

Miklukho-Maklaya str., 6, Moscow, Russia, 117198

T S Imomnazarov

Peoples’ Friendship University of Russia

Email: timur-imomnazarov@mail.ru

Timur Soibnazarovich Imomnazarov, post - graduated student of department of architecture and building of Peoples’ friendship university of Russia. Research interests: construction mechanics, geometry, surface shaping and methods for calculating thin-walled structures of complex shapes.

Miklukho-Maklaya str., 6, Moscow, Russia, 117198

I T Farhan

Peoples’ Friendship University of Russia

Email: ismael.civilengineer@gmail.com

Ismael Taha Farhan, post - graduated student of department of architecture and building of Peoples’ friendship university of Russia. Research interests: construction mechanics, geometry, surface shaping and methods for calculating thin-walled structures of complex shapes.

Miklukho-Maklaya str., 6, Moscow, Russia, 117198

References

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Copyright (c) 2017 Ivanov V.N., Imomnazarov T.S., Farhan I.T.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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