Anisimov K. Geometrical modeling of a family of curves taking into account influence previous elements on the following

The dissertation on competition of a scientific degree of the candidate of engineering science on a specialty 05.01.01 – applied geometry, engineering graphics. – Kyiv National University of Building and Architecture, Kyiv, Ukraine, 2011. Dissertation is devoted to the new solution task of geometrical modelling of equidistant curve with difficult on a form curves, on the method of sphere of single radius as a graphic display of reactions of heterogeneous type. At application of this method front of heterogeneous process is given as an abstract wall which is broken on barns, that enables to present a process as different geometrical invariants of radiation. Barns which are included in the wall of fire – emitters, and vegetable material is characterized by barns-receivers. Depending on different terms barns can be different at geometrical a form. The method of determination of local angular coefficients of radiation is improved for figures, located not on co-ordinate planes (variant of sloping relief). The method of "imaginary" extrapolation is developed for prognostication of geometrical form of edge of heterogeneous processes with the use of nonlinear dependences. On the basis of the offered geometrical models the method of prognostication of geometrical form of type of edge is developed on condition of account of geometrical constituent of radial heat transfer. It is developed graph-analytic method of determination the perimeter of edges of burning down of vegetable material for the limited onecoherent unprotuberant figure. Keywords: geometrical modeling, family of curves, contour of burning out, heterogeneous process, angular coefficient of radiation, imaginary extrapolation.