Limit cycle characterization of an aeroelastic wing in a bluff body wake

Gianikos, Zachary; Kirschmeier, Benjamin; Gopalarathnam, Ashok; Bryant, Matthew

doi:10.1016/j.jfluidstructs.2020.102986

Cited by 10 publications

(1 citation statement)

References 33 publications

(26 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It should be noted that due to the complexity of the solution, there are fewer and fewer analytical studies on the dynamics, stability and flutter of aircraft components, including wing airfoils. Among the latter, we note [Al-Mashhadani et al, 2017;Balakrishnan et al, 2014;Shubov, 2014;Yonghong Li and Ning Qin, 2021;Zachary et al, 2020]. In contrast to the direct Lyapunov method used in this work, the presented works use frequency methods suitable only for studying linear systems, various numerical methods, experimental studies.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling in problems about dynamics and stability of elastic elements of wing profiles

Velmisov

Ankilov

2021

CAP

View full text Add to dashboard Cite

The mathematical models describing the dynamics of elastic elements of wing structures and representing the initial-boundary value problems for systems of partial differential equations are proposed. The dynamics and stability of elastic elements of wings, flown around by a gas or liquid stream in a model of an incompressible medium, are investigated. To study the dynamics of elastic elements and a gas-liquid medium, both linear and nonlinear models of the mechanics of a solid deformable body and linear models of the mechanics of liquid and gas are used. On the basis of the constructed functionals for partial differential equations, the sufficient stability conditions are obtained in analytical form. The conditions impose restrictions on the parameters of mechanical systems. The obtained stability conditions are necessary for solving the problems of controlling the parameters of the aeroelastic system. On the basis of the Galerkin method, a numerical study of the dynamics of elastic elements was carried out, the reliability of which is confirmed by the obtained analytical results.

show abstract