Факультет комп’ютерних та інформаційних технологій
Постійне посилання на фондhttps://repository.lntu.edu.ua/handle/123456789/49
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Item type:Наукова стаття, Investigation of Cylindrical Particles Sphericity and Roundness Based on the Extreme Vertices Model(Springer Nature Switzerland, 2024) ; Заболотний, Олег Васильович; Гульчук, Юрій Миколайович;In this scientific investigation, the article's authors have created a three-dimensional computer simulation model to explore the sphericity and roundness of elements, specifically particles. The authors elucidated the detailed calculation of the sphericity of elements and roundness of elements for cylindrical particles through the application of the extreme-vertex 3D model. Based on the proposed extreme vertex model theory, the points at which linear constraints intersect were optimized, allowing for the maximum approximation of the form factor to unity. Furthermore, the proposed theory of extreme vertices in the context of modeling elements, particularly in voxel-based modeling, is of significant importance in defining the boundaries and limits of objects in three-dimensional space. Moreover, it was discovered that this idea holds importance in the context of the simplex-complex method, a commonly employed algorithm for addressing linear programming problems. Additionally, correlations between the sphericity and roundness of elements and the particle diameter were examined, enabling the prediction of particle shape. This is because the obtained sphericity values mostly approximate 1, which implies that the elements have a spherical or nearly spherical shape.Item type:Наукова стаття, Optimization of 3D Computer Model Parameters for Spherical Elements Modeling(Springer Nature Switzerland, 2024) ; Заболотний, Олег Васильович; Гульчук, Юрій Миколайович;The scientific chapter discusses the simulation of spherical elements using a developed computer model. We documented the primary combinations of spherical particles that occur during filling in the hopper. The modeling revealed that the most common combination for spherical elements consists of three balls, forming an equilateral triangle in the cross section passing through the centers of the balls. In the case of a structure with four spherical balls, connecting their centers creates a rhombus in the cross section. Notably, this combination generates two smaller equilateral triangles within the rhombus, influencing the process of pushing the spherical balls apart. This process, in turn, facilitated the observation of contact between spherical elements and established the stable position of each individual particle.