| Issue |
E3S Web of Conf.
Volume 365, 2023
IV International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2022)
|
|
|---|---|---|
| Article Number | 05007 | |
| Number of page(s) | 6 | |
| Section | Engineering Materials Science, Intelligent Transport Systems and Transport Logistics | |
| DOI | https://doi.org/10.1051/e3sconf/202336505007 | |
| Published online | 30 January 2023 | |
Statement and general technique for solving problem of oscillation of a hereditarily deformable aircraft
1 Tashkent Chemical-Technological Institute, Tashkent, Uzbekistan
2 Fergana state university, Fergana, Uzbekistan
* Corresponding author: axmedov1981@gmail.com
This article provides a general statement and a technique for solving the problem of oscillations of a hereditarily deformable aircraft in a gas flow with a finite number of degrees of freedom. Using the Lagrange equations and the variational principle of the hereditary theory of viscoelasticity, the equations of motion of the problem under consideration are derived. The generalized forces acting on the aircraft in the subsonic flight mode are determined according to the stationarity hypothesis. As a result, closed interconnected weakly singular integro-differential equations are obtained that describe the mathematical model of the problem with a finite number of degrees of freedom. General schemes for the numerical solution of these equations are outlined. As an example, the flexural-torsional-aileron flutter of the transient process of a hereditarily deformable wing with a finite freedom number is considered.
© The Authors, published by EDP Sciences, 2023
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