E3S Web Conf.
Volume 97, 2019XXII International Scientific Conference “Construction the Formation of Living Environment” (FORM-2019)
|Number of page(s)||8|
|Section||New Construction Technologies|
|Published online||29 May 2019|
Vibration analysis of airfoil on hereditary deformable suspensions
Tashkent University of Information Technologies, Amir Temur street, 108, Tashkent, 100200, Uzbekistan
* Corresponding author: firstname.lastname@example.org
This paper describes the analyses of the nonlinear vibrations and dynamic stability of an airfoil on hereditary-deformable suspensions. The model is based on two-degree-of-freedom structure in geometrically nonlinear statements. It provides justification for the choice of the weakly singular Abelian type kernel, with rheological parameters. To solve problems of viscoelastic system with weakly singular kernels of relaxation, a numerical method has been used, based on quadrature formulae. With a combination of the Galerkin and the presented method, problems of nonlinear vibrations and dynamic stability in viscoelastic two-degree-of-freedom structure have been solved. A comparison of the results obtained via this method is also presented. In all problems, the convergence of the Galerkin method has been investigated. The implications of material viscoelasticity on vibration and dynamic stability are presented graphically.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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