aero2struct_force_mapping

Maps the aerodynamic forces at the lattice to the structural nodes

The aerodynamic forces from the UVLM are always in the inertial G frame of reference and have to be transformed to the body or local B frame of reference in which the structural forces are defined.

Since the structural nodes and aerodynamic panels are coincident in a spanwise direction, the aerodynamic forces that correspond to a structural node are the summation of the M+1 forces defined at the lattice at that spanwise location.

\[\begin{split}\mathbf{f}_{struct}^B &= \sum\limits_{i=0}^{m+1}C^{BG}\mathbf{f}_{i,aero}^G \\ \mathbf{m}_{struct}^B &= \sum\limits_{i=0}^{m+1}C^{BG}(\mathbf{m}_{i,aero}^G + \tilde{\boldsymbol{\zeta}}^G\mathbf{f}_{i, aero}^G)\end{split}\]

where \(\tilde{\boldsymbol{\zeta}}^G\) is the skew-symmetric matrix of the vector between the lattice grid vertex and the structural node.

param aero_forces:

Aerodynamic forces from the UVLM in inertial frame of reference

type aero_forces:

list

param struct2aero_mapping:

Structural to aerodynamic node mapping

type struct2aero_mapping:

dict

param zeta:

Aerodynamic grid coordinates

type zeta:

list

param pos_def:

Vector of structural node displacements

type pos_def:

np.ndarray

param psi_def:

Vector of structural node rotations (CRVs)

type psi_def:

np.ndarray

param master:

Unused

param conn:

Connectivities matrix

type conn:

np.ndarray

param cag:

Transformation matrix between inertial and body-attached reference A

type cag:

np.ndarray

param data_dict:

Dictionary containing the grid’s information.

type data_dict:

dict

param skip_moments_generated_by_forces:

Flag to skip local moment calculation.

type skip_moments_generated_by_forces:

bool

returns:

structural forces in an n_node x 6 vector

rtype:

np.ndarray