Ananenko T. Constructing of bypass surfaces of one-parameter plural of planes and construction of their involutes.

Dissertation on competition of scientific degree of the candidate of engineering science after speciality 05.01.01 - applied geometry, engineering graphics. - Kiev National University of Building and Architecture, Kyiv, Ukraine, 2012. Dissertation is devoted to constructing of by-pass surfaces of one-parameter plural of planes, at which the plural of planes appears after the set law of the continuous moving of plane in space. The different laws of moving of plane and features of construction of involutes of compartments of the fold surface are considered. The parameter equalizations of fold surface and their ribs of turn are got both in space and on the involute. The basic considered methods of formation of one-parameter plural of planes is addition of two motions: rotatory motion of plane about axis and simultaneous moving of axis in space after the set law and addition of relative motion of plane in the system of three-edge of Frenet with his portable motion on the set sending curve.