curvature

Hybrid trigonometric Bézier interpolation with uniform, chordal and centripetal parameterization in 3-Euclidean space and its application

Interpolation in trigonometric B\'ezier curves refers to constructing a curve that smoothly passes through a given set of control points.  In this paper, data points are interpolated by the General Hybrid Trigonometric B\'ezier (GHTB) curve.  The curve contains four free parameters that allow flexibility in curve construction.  The determination of control points on the GHTB curve, based on a certain degree, results in the interpolation of the curve that passes through the data points.  Uniform, centripetal, and chordal parameterization methods are applied to GHTB curve

Основи теорії тріщиностійкості залізобетонних елементів та конструкцій

In an article the calculation model of normal cracks formation is formed in the general theory of concrete and reinforced concrete elements and structures deformation. The method of determining of their step and the disclosure width depending on the stress-strain state is offered.