Typical Section Model
Type Definition
Aeroelasticity.Section — TypeSectionTypical section structural model with state variables $h, \theta, \dot{h}, \dot{\theta}$, inputs $\mathcal{L}, \mathcal{M}$, and parameters $k_h, k_\theta, m, S_\theta, I_\theta$
Aeroelasticity.Section — MethodSection()Initialize a model of type Section
Examples
Theory
The equations of motion for this model are:
\[\begin{bmatrix} m & S_\theta \\ S_\theta & I_\theta \end{bmatrix} \begin{bmatrix} \ddot{h} \\ \ddot{\theta} \end{bmatrix} + \begin{bmatrix} k_h & 0 \\ 0 & k_h \end{bmatrix} \begin{bmatrix} h \\ \theta \end{bmatrix} = \begin{bmatrix} -\mathcal{L} \\ \mathcal{M} \end{bmatrix}\]
where $k_h$ is the linear spring constant, $k_\theta$ is the torsional spring constant, $m$ is the mass per unit span, $S_\theta$ is the structural imbalance, $I_\theta$ is the mass moment of inertia, $\mathcal{L}$ is the lift per unit span, and $\mathcal{M}$ is the moment per unit span.