Steady + Section
Type Definition
Aeroelasticity.SteadySection — TypeSteadySectionCoupling model for coupling a steady aerodynamic model based on thin airfoil theory (see Steady) and a two-degree of freedom typical section model (see Section). This model introduces the freestream velocity $U_\infty$, air density $\rho_\infty$, and the Prandtl-Glauert compressibility factor $\beta$ as additional parameters.
The parameters for the resulting coupled model (as defined by the parameter function) defaults to the parameters for each model concatenated into a single vector.
Example Usage
Theory
This model is defined by coupling steady thin airfoil theory aerodynamics
with the typical section model.
By making use of a small angle assumption, the freestream velocity components are defined as
\[u \approx U_\infty \\ v \approx U_\infty \theta \\ \omega \approx 0\]
where $U_\infty$ is the freestream velocity magnitude, $\theta$ is the pitch angle, $u$ is the chordwise freestream velocity, $v$ is the normal freestream velocity, and $\omega$ is the freestream angular velocity. A small angle assumption is also used to define the lift about the reference location as
\[\mathcal{L} \approx \mathcal{N}\]
where $\mathcal{N}$ is the normal force per unit span at the reference location.