Научная электронная библиотека ULRICH'S Periodicals Directory

Сибирский государственный университет
науки и технологий имени академика М.Ф. Решетнева

Сибирский аэрокосмический журнал
ISSN 2712-8970 (Print) ISSN 2782-5760 (on-line)

Сведения об образовательной организации

UDK 539.3+539.4
MATHEMATICAL MODELLING FOR EXTREME DEFORMATIONS OF PLANAR CONSTRUCTIONS REINFORCED WITH CURVILINEAR TRAJECTORIES
N. A. Feodorova
Siberian Federal University 26, Kirenskogo Av., Krasnoyarsk, 660074, Russian Federation E-mail: ran@akadem.ru
The problem of curvilinear fibers rational reinforcement is solved by reference to the structural model within the heterogeneous liner elasticity problem. Traction of a three-layered reinforced disc under the centrifugal force action in the polar coordinate system is considered. The resolving system of ordinary differential equations in radial and peripheral movement components for the axisymmetric problem definition is obtained. The effect of structural parame-ters for a construction limit stressing is studied. It is approved that by reinforcement structure choosing the extreme speed of a disc rotation can be increases twofold.
reinforcement, structural model, curvilinear trajectories.
References

1. Feodorova N. A., Skutin L. I. Asymptotic form of the axisymmetric elasticity problem for anisotropic cylindrical shell. Journal of Applied Mechanics and Technical Physics. 1981, vol. 22, p. 725–730.

2. Nemirovsiy Yu.V, Feodorova N.A. Matematicheskoe modelirovanie ploskikh konstruktsii iz armirovann`ykh voloknist`ykh materialov (Mathematical modeling of flat structures made of reinforced fiber materials).  Krasnoyarsk, Sib. Fed. Univ., 2010. 136 p.

3. Nemirovsiy Yu. V, Feodorova N. A. Vestn. Samar. Gos. Techn. Univ. Ser. Fiz.-Mat. Nauki, 2010, no 5 (21), p. 96–104.

4. Feodorova N. A. J. Sib. Fed. Univ. Math. Phys., 2011, vol. 4, no. 3, p. 400–405.

5. Feodorova N. A. Vestnik SibGAU. 2011, no. 3 (36), p. 92–98.

6. Nemirovsiy Yu. V., Feodorova N. A. Vestn. Samar. Gos. Techn. Univ. Ser. Fiz.-Mat. Nauki, 2013, no. 1 (30), p. 233–244.


Fedorova Elena Nikolaevna – Candidate of Engineering Science, associate professor, Department of Applied Mechanics, Polytechnic Institute of Siberian Federal University. Е-mail: fedorova.elena.85@gmail.com