Samchuk V. Discrete modeling of wavy surface coating

Thesis for the degree of candidate of technical sciences in specialty 05.01.01 - Applied geometry, engineering graphics. - Kyiv National University of Engineering and Architecture, Kiev, Ukraine 2012. The thesis is devoted to the development of algorithms for discrete models of the formation of wavy surface coverage in the Cartesian and cylindrical coordinate systems, as well as the study of the parameters forming the discrete analogue sine-cosine curve, as elements of a carcass of wavy surfaces. The effect of load shaping, which depends on the metric parameters of the simulated object to its geometric shape in Cartesian coordinate system, as well as restrictions on the number of displayed values of its parameters. Distributed by the static-geometric method for modeling the polar and cylindrical coordinate systems, for which the proposed algorithms for the formation of balanced models, the discretely presented curves and surfaces. The results have been implemented in practice, the design of wavy surface coating of small architectural forms in the problems of finding a rational form of an arch of the lower belt of the combined system with a given distribution of load in the learning process LSTU.