Simulation of surfaces of hydrotechnical structures by mobile simplex method
Annotation: The paper deals with the point algorithm for specifying a cylindrical surface with a guiding axis in the form of a involute of a circle and forming in the form of a circular sinusoid using the method of mobike simplex (MPS) developed by the authors of the work. This method is one of the main methods of BN calculus (Balyuba-Naydysh point calculus) for the construction and modeling of surfaces of any complexity, processes and phenomena in n-dimensional space. The point equations of the curves under consideration are designed for n-dimensional space taking into account graphical algorithms for constructing such curves on a plane in general position. The obtained cylindrical surface can be used in modeling complex surfaces of hydraulic structures, which significantly expands the scope of the mobile simplex method in the practice of engineering calculations to obtain effective solutions in hydraulic engineering.
Keywords: point algorithm, circle involute, circular sine wave, cylindrical surface, mobile simplex method, BN calculus, hydraulic structures.
Pages: 40-44.
For citation: Malyutina, T. P.; Davydenko, I. P. Simulation of surfaces of hydrotechnical structures by mobile simplex method. – Text : direct. – In: The Builder of Donbass. – 2020. – Issue 2-2020 . – Р. 40-44. – ISSN 2617-1848. (in Russian)
Issue 2-2020
Journal: The Builder of Donbass
Publish house: Donbas National Academy of Civil Engineering and Architecture
Journal: The Builder of Donbass
Publish house: Donbas National Academy of Civil Engineering and Architecture