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  4. Stress state modeling of non-circular orthotropic hollow cylinders under different types of loading

Stress state modeling of non-circular orthotropic hollow cylinders under different types of loading

MMC.
2024;
Volume 11, Number 2
: pp. 583–592
https://doi.org/10.23939/mmc2024.02.583
Received: May 27, 2023
Revised: June 08, 2024
Accepted: June 15, 2024

Rozhok L. S., Kruk L. A., Isaienko H. L., Shevchuk L. O.  Stress state modeling of non-circular orthotropic hollow cylinders under different types of loading.  Mathematical Modeling and Computing. Vol. 11, No. 2, pp. 583–592 (2024)

Authors:
  1. L. S. Rozhok
  2. L. A. Kruk
  3. H. L. Isaienko
  4. L. O. Shevchuk
1
Department of Theoretical and Applied Mechanics of the National Transport University
2
Department of Theoretical and Applied Mechanics of the National Transport University
3
Department of Information Analysis and Information Security of the National Transport University
4
Department of Foreign Philology and Translation of the National Transport University

Based on a spatial model of the linear theory of elasticity, using an unconventional approach of the reduction of the original three-dimensional boundary value problem described by a system of partial differential equations with variable coefficients to a one-dimensional boundary value problem for a system of ordinary differential equations with constant coefficients, the problem of finding the dimensional stress of hollow elliptic orthotropic cylinders under the influence of various types of loading has been solved under certain boundary conditions at the orientation plane.  Reducing the dimensionality of the original problem is carried out using analytical methods of separating variables in two coordinate directions in combination with the method of approximating functions by discrete Fourier series.  The one-dimensional boundary value problem is solved by the stable numerical method of discrete orthogonalization.

discrete Fourier series
method of discrete orthogonalization
dimensional stress
orthotropic body
orientation plane
elliptic orthotropic cylinders
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