Nesvidomin A. Computer design of motion of particle on immobile rough surfaces in projections on the orts of accompanying trihedral of trajectory

A thesis for competition of scientific degree of candidate of technical sciences by specialty 05.01.01 - applied geometry, engineering graphics. - Kyiv National University of Construction and Architecture. - Kyiv, Ukraine, 2016. The thesis is devoted to the development of computer models for the study of particle rough surfaces of complex shape in problems of study design parameters of working surfaces for moving and separation of bulk materials. A computer based tools laid geometric method of forming the law of motion of a particle on rough surfaces in the interior of coordinates projected on two orts accompanying trihedron of trajectory - trihedron Darboux and trihedron two orts, which is tangent to the coordinate lines of the surface. According to an independent study option of a particle taken not only time, but also the position of the particle on the surface and the direction of its movement on the surface. The software in the computer algebra environment for simulation of a particle on rough planes on all ruled and nonruled surfaces 2nd order, helical surfaces, cylindrical surfaces of orthogonal sections as defined transcendental curves. The complex computational experiments to study the design parameters of rough surfaces for separation and movement of loose material. The possibility of using the proposed method for modeling the motion of a particle moving on rough surfaces, including rough planes, which carry three-dimensional space-forth oscillatory movement. Found patterns moving soil particles together in the form of a flexible strip on rough surface triangular wedge.