%CONSTRUCT_Tangent2%

second tangent with respect to given normal vector and alias-entities

CONSTRUCT( %CONSTRUCT_Tangent2%, nRef_x, nRef_y, nRef_z, "alias1", "alias2", ... )

Determines the second tangent \( \mathbf{t}_2\) with respect to the given normal \( \mathbf{n}_\text{Ref}\) = (nRef_x, nRef_y, nRef_z) and the normal \( \mathbf{n}_\text{alias1,alias2,...}\) of the geometry elements belonging to the given list of aliases in the following sense:

\begin{align} \mathbf{t}_2 = \frac{\mathbf{n}_\text{Ref} \times \mathbf{t}_1}{\lVert \mathbf{n}_\text{Ref} \times \mathbf{t}_1\rVert_2},\end{align}

where \( \mathbf{t}_1\) is the first tagent given by

\begin{align} \mathbf{t}_1 = \frac{\mathbf{n}_\text{Ref} \times \mathbf{n}_\text{alias1,alias2,...}}{\lVert \mathbf{n}_\text{Ref} \times \mathbf{n}_\text{alias1,alias2,...}\rVert_2}\end{align}