Mathematical Modeling of Aeroelastic Systems

被引：2

作者：

Velmisov, Petr A. ^{[1
]}

Ankilov, Andrey V. ^{[1
]}

Semenova, Elizaveta P. ^{[1
]}

机构：

[1] Ulyanovsk State Tech Univ, Severny Venets Str 32, Ulyanovsk 432027, Russia

来源：

PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'17) | 2017年 / 1910卷

基金：

俄罗斯基础研究基金会;

关键词：

VIBRATION; STABILITY; PIPELINE; DYNAMICS;

D O I：

10.1063/1.5013977

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the paper, the stability of elastic elements of a class of desires that are in interaction with a gas or liquid flow is investigated. The definition of the stability of an elastic body corresponds to the concept of stability of dynamical systems by Lyapunov. As examples the mathematical models of flowing channels (models of vibration devices) at a subsonic flow and the mathematical models of protective surface at a supersonic flow arc considered. Models arc described by the related systems of the partial differential equations. An analytic investigation of stability is carried out on the basis of the construction of Lyapunov-type functionals, a numerical investigation is carried out on the basis of the Galerkin method. The various models of the gas-liquid environment (compressed, incompressible) and the various models of a deformable body (elastic linear and elastic nonlinear) arc considered.

引用

页数：8

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