| Issue |
E3S Web Conf.
Volume 264, 2021
International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2021)
|
|
|---|---|---|
| Article Number | 05056 | |
| Number of page(s) | 10 | |
| Section | Engineering Materials Science, Intelligent Transport Systems and Transport Logistics | |
| DOI | https://doi.org/10.1051/e3sconf/202126405056 | |
| Published online | 02 June 2021 | |
Numerical study of nonlinear problems in the dynamics of thin-walled structural elements
1 Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, Uzbekistan
2 National Technical University “Kharkiv Polytechnic Institute”, Ukraine
Mathematical model of the problem of vibration of thin-walled structural elements has been constructed based on Kirchhoff-Love theory. The problem is reduced, using the Bubnov-Galerkin method, to the solution of a set of nonlinear integro-differential Volterra type equations with weakly-singular kernels of relaxation. A numerical method based on the use of quadrature formulae being used for their solution. The influence of rheological parameters of the material on the values of critical velocity and amplitude-frequency characteristics of viscoelastic thin-walled structural elements is analyzed. It is shown that tacking account viscoelastic properties of the material of thin-walled structures lead to a decrease in the critical rate of gas flow.
© The Authors, published by EDP Sciences, 2021
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