Pylypaka O. Designing of compartments screw and surfaces of rotation with the set boundaries of a modification of a constant middle curvature

Dissertation is devoted working out of modes of geometrical designing screw and surfaces of rotation of constant middle curvature. Concerning surface of rotation the hypothesis about alternation of transformation of known surface of rotation from one aspect to another in process of magnification of numerical value of middle curvature, since zero has been advanced. Legitimacy of a hypothesis has been theoretically proved by construction by numerical methods of meridians on the set initial conditions, including value of middle curvature. As a result of numerical integration of a differential equation curve of axial section of a screw surface of constant middle curvature have been constructed. At transformation of known surface of rotation of constant middle curvature at screw with the same middle curvature in process of pitch magnification regularity of transformation of a meridian at curve axial cut is discovered. It is justified expediency of approximation of a part of a meridian and a curve of axial section by a circle arc. Received surfaces can be described analytically, and its middle curvature varies in the set limits. From the gained compartments designing of ballon tyres for storage of the oblate gas which strength has a linear dependence from value of middle curvature of a shell is carried out.