Theories of "small" and "large" curvature of bars in total mathematical formulation

Abstract

The theories of «small» и «large» displacements at rod crooking have been analysed with estimation and determination of assumption functions separating them. General mathematical maintenance on the basis of line curvature expressions in the parametric form is developed. Boundary value problem of rod curvature geometry is presented in two problems: «line reestablishment» by the curvature function and the initial conditions, then «line flattering» i.e. determination of curve arc length by the final conditions.