Mass-centering characteristics of solids within quasi-rotation surfaces

Abstract

Abstract The methods for generation of digital 3D-models of solids within one sheet of a quadrilateral surface of quasi-rotation are described. The resulting models are used to create solids by means of 3D-printing. When analysing the physical properties of solids, an assumption is made about the specificity of the location of their centres of mass. To verify this assumption, the capabilities of the automatic projection are applied. Based on the results obtained, it is found that there is a certain solid - an individual case of the studied solids, the centre of mass of which is located in the geometric centre of its outline, which is a circle. The error curve method is applied to determine the initial parameters of modeling the desired object. As a result of the search, a digital and solid-state model of a solid within a single sheet of the quasi-rotation surface, whose center of mass coincides with the geometric center of its outline, are obtained. The produced solid has properties that partially coincide with the properties of rotation solids. Such a coincidence is not obvious. In general, the center of mass of the studied solids is not located at the indicated point.