GEOMETRICAL METHODS OF CONSTRUCTION MECHANICS IN THE PROBLEM OF THE TORSION ELLIPTIC SECTIONS
https://doi.org/10.33979/2073-7416-2019-82-2-35-42
Abstract
The article provides a comparison of the values of the reduced geometric rigidity of elliptic sections with free torsion of a rod, obtained using exact and approximate solutions. The exact solution is presented depending on the geometric argument - the form coefficient, and the approximate solution - in the form of a linear relationship, which approximates the known exact solutions using the geometric argument - the ratio of conformal radii (internal to external). The results of the comparison showed that an approximate solution gives an error not exceeding one percent in the range of ratios a / b <6 (a and b are ellipse semiaxes). The possibility of presenting the desired solutions in the form of dependencies on geometric arguments allows us to extend the prospects of using the interpolation method both in terms of the shape factor and the ratio of conformal radii.
About the Authors
A. V. Korobko
Orel State University named after I.S. Turgenev
Russian Federation
A. A. Chernyaev
Orel State University named after I.S. Turgenev
Russian Federation
Y. E. Lygina
Orel State University named after I.S. Turgenev
Russian Federation
For citations:
Korobko A.V.,
Chernyaev A.A.,
Lygina Y.E.
GEOMETRICAL METHODS OF CONSTRUCTION MECHANICS IN THE PROBLEM OF THE TORSION ELLIPTIC SECTIONS. Building and Reconstruction. 2019;(2):35-42.
(In Russ.)
https://doi.org/10.33979/2073-7416-2019-82-2-35-42
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