This information is part of the Modelica Standard Library maintained by the Modelica Association.
from_nxy
Return fixed orientation object from n_x and n_y vectors
SOLUTIONS




Return fixed orientation object from n_x and n_y vectors
It is assumed that the two input vectors n_x and n_y are resolved in frame 1 and are directed along the x and y axis of frame 2 (i.e., n_x and n_y are orthogonal to each other) The function returns the orientation object R to rotate from frame 1 to frame 2.
The function is robust in the sense that it returns always an orientation object R, even if n_y is not orthogonal to n_x. This is performed in the following way:
If n_x and n_y are not orthogonal to each other, first a unit vector e_y is determined that is orthogonal to n_x and is lying in the plane spanned by n_x and n_y. If n_x and n_y are parallel or nearly parallel to each other, a vector e_y is selected arbitrarily such that e_x and e_y are orthogonal to each other.