WOLFRAM SYSTEM MODELER
from_nxyReturn fixed orientation object from n_x and n_y vectors |
SystemModel["Modelica.Mechanics.MultiBody.Frames.from_nxy"]
This information is part of the Modelica Standard Library maintained by the Modelica Association.
R = Frames.from_nxy(n_x, n_y);
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.
n_x |
Type: Real[3] Description: Vector in direction of x-axis of frame 2, resolved in frame 1 |
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n_y |
Type: Real[3] Description: Vector in direction of y-axis of frame 2, resolved in frame 1 |
R |
Type: Orientation Description: Orientation object to rotate frame 1 into frame 2 |
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