To the question on continuous parameterization of spatial figures having an ellipse in a section

摘要

AbstractWhen solving a problem of mechanics of shells by numerical methods, inevitably arises a problem of continuous parameterization of shell construction in question. This problem requires a calculation of necessary geometrical descriptions in an arbitrary point of examined shell. At that, position of the point must be completely defined, and geometrical parameters used must have clear geometrical interpretation. We propose new variations of formulas which allow to obtain continuous parameterizations of spatial figures having an ellipse in a section, moreover, these formulas possess clear geometric interpretation.