Chernyshova E. The using of functions of complex variable for construction of surfaces of technical forms.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U002233

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

17-05-2007

Specialized Academic Board

Д26. 056. 06

Essay

The thesis is devoted to the development of methods of geometrical design of curves and surfaces on the basis of scientific positions of theory of functions of complex variable. The conformal mapping can be set by the function of complex variable. In dissertation the conformal mapping of the curves from one isotropic grid on other are considered. It attended to the conformal mapping of circle, of ellipse, of Pascal's limacon with tangencies to the base circle of reflection which locate in the any place of complex plane by the Zhukovski’s functions and got on their basis of surface of revolution. The method of formation of isotropic curves is offered. Great attention is spared to the use of functions of complex variable for construction of the added minimal surfaces by improvement of the known methods of their construction and on the basis of isotropic curves. The bending of minimal surfaces on added to them is considered.

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