Construction of a Circular Cylinder with an Axis in the Form of a Circular Sinusoid by the Mobile Simplex Method
Abstract: The paper considers a point algorithm for specifying a cylinder, with a guiding axis in the form of a circular sine wave and a generatrix in the form of a circle, based on the MPS (mobile simplex method). The paper uses point equations of a circle and a circular sinusoid, obtained on the basis of graphical algorithms for constructing these curves by methods of BN-calculus (Balyuba-Naydysh point calculus). A computational algorithm for constructing a circular sinusoid with an axis in the form of a circle using polar parametrization of the plane is presented. An algorithm for obtaining a point equation of a circular cylinder with a sinusoidal axis based on the MSM is considered. Examples of constructing a circular sine wave in the plane of the general position and a circular cylinder with a sine axis at different values of the coefficient specifying the number of periods using the Maple software package are given. Such a surface can be used when specifying shells of various technical forms.
Keywords: point algorithm, evolvent, ellipse, BN-calculus, mobile simplex method (MSM).
Pages: 42-47.
For citation: Malyutina, T. P.; Yermakov, I. A. Construction of a Circular Cylinder with an Axis in the Form of a Circular Sinusoid by the Mobile Simplex Method. – Text : electronic. – In: Proceeding of the Donbas National Academy of Civil Engineering and Architecture. – 2023. – Issue 2023-3(161) Buildings and structures using new materials and technologies. – Р. 42-47. – URL: https://donnasa.ru/publish_house/journals/vestnik/2023/2023-3(161)/st_07_malutina_ermakov.pdf (date of access: 19.11.2024). – ISSN 2519-2817.
Issue 2023-3 (161)
Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture
Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture