Numerical study of nonlinear problems in the dynamics of thin-walled structural elements
| Autor: | Sergey Leonov, Olim Kucharov, Fozil Turaev, Kholida Komilova |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Materials science
020209 energy Numerical analysis Mathematical analysis 02 engineering and technology Critical ionization velocity Viscoelasticity Quadrature (mathematics) Environmental sciences Condensed Matter::Soft Condensed Matter Physics::Fluid Dynamics Vibration Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Flow (mathematics) 0202 electrical engineering electronic engineering information engineering GE1-350 Relaxation (approximation) |
| Zdroj: | E3S Web of Conferences, Vol 264, p 05056 (2021) |
| ISSN: | 2267-1242 |
| DOI: | 10.1051/e3sconf/202126405056 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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