Abstract
A numerical method is proposed to simulate the Flutter-type oscillation of the two-dimensional blades in a flow with low speed. The finite element method is used to solve numerically the Laplace equation, and then the aerodynamic forces can be obtained using the unsteady Bernoulli equation. A two-degree-of-freedom dynamic model is introduced to describe the blade oscillation, and Runge-Kutta method is applied to solve the equation of motion. The coupled fields can be solved alternately, and the oscillation orbit of the two-dimensional blade can be obtained. Furthermore, the results are presented in phase plane and studied based on Hopf bifurcation. The influence of the flow velocity on the blade flutter is studied, and it can be concluded that the appearance of flutter-type oscillation is the result of the occurrence of Hopf bifurcation, as the flow velocity increases.
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