Davydenko I. Constructing of surfaces of spatial forms by the method of mobile simplex

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U000249

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

25-12-2012

Specialized Academic Board

Д18.819.02

Essay

Object - surfaces of spatial forms; methods - analytical, descriptive, affine and projective geometry, dot calculation, computer methods of calculation and display of geometrical forms; theoretical and practical results - the method of a mobile simplex is developed, the dot equations of surfaces which are a basis for the automated preparation of the initial data for calculations by a method of final elements are received; scientific novelty - the dot equations of algebraic curves in various parametric are developed; it is developed, based on the dot calculation, a new method of the analytical description of surfaces of the complex curvilinear form on beforehand set geometrical conditions which in work it has been named a method of a mobile simplex; the method of use of curves for creation of necessary flexibility of surfaces of environments is developed in view of additional requirements to them; The concept of tangential display of a curve is entered into the mathematical device of dot calculation; a degree of introduction - the industrial organizations of Open Company "UKRINSTALCON" and PAO "AZMK", in educational process of the Donbass national academy of construction and architecture; sphere of use - practical activities of the design building organizations which project thin-walled environments of a covering.

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