Specifying the Surface of Rotation of a Circular Sinusoid using the Moving Simplex Method
T. P. Malyutina, Ye. Ye. Korotych
FSBEI HE «Donbas National Academy of Civil Engineering and Architecture»
Abstract: We consider the point equation of a circular sinusoid [6], constructed by a well-known graphical algorithm, using methods of BN-calculus (Baluba-Naidysh point calculus). We present an example of the point assignment of the surface of rotation of a circular sinusoid, based on the moving simplex method (MPS), with the image as a circular sinusoid. Modelling of the surface of rotation of a circular sinusoid is based on the kinematic method of formation of spatial forms, where a sinusoid acts as a formant, which by rotation around the vertical axis along the axial circle guide forms a surface of rotation. By specifying the current curve parameter k – the ratio of the radii of two circles, the axial circle, and the circumference of the circle, we obtain examples of constructing surfaces of rotation (Figs. 5–7), implemented using a computer (e. g., using the Maple software package). The method of constructing a surface of rotation of a circular sinusoid by the guiding axial circle on a plane arbitrarily defined by a simplex of points, proposed in this article, can take a worthy place in a number of existing traditional and innovative methods of construction.
Keywords: point equation of circular sinusoid, BN calculus, rotation surface of circular sinusoid, moving simplex method.
Pages: 10-15.
Link for citation: Malyutina, T. P.; Korotych, Ye. Ye. Specifying the Surface of Rotation of a Circular Sinusoid using the Moving Simplex Method. – Text : electronic. – In: Proceeding of the Donbas National Academy of Civil Engineering and Architecture. – 2024. – Issue 2024-3(167) Buildings and structures using new materials and technologies. – Р. 10-15. – URL: https://donnasa.ru/publish_house/journals/vestnik/2024/2024-3(167)/st_02_malyutina_korotych.pdf (date of access: 15.10.2024). (in Russian)
Issue 2024-3 (167)Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture