Since 1963
ARTICLE
Stability and bifurcation analysis for an airfoil model
with a high-order nonlinear spring
| 1 | Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China |
| 2 | Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA), MIIT, Nanjing, China |
CORRESPONDING AUTHOR
Submission date: 2021-12-13
Final revision date: 2021-12-27
Acceptance date: 2022-01-03
Online publication date: 2022-02-07
Publication date: 2022-04-30
Journal of Theoretical and Applied Mechanics 2022;60(2):185–197
KEYWORDS
TOPICS
ABSTRACT
In this paper, the stability and bifurcation of an airfoil model with a high-order nonlinear
spring are investigated both analytically and numerically. Two possible types of bifurcation
at the equilibrium point are studied. It is proved that the zero characteristic root can only
be a single zero. With the help of the center manifold theory and the normal form theory,
the expressions of critical bifurcation curves leading to initial bifurcation and secondary
bifurcation are obtained. Numerical simulations confirm the theoretical results.
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