WOLFRAM SYSTEM MODELER
from_nxzReturn fixed orientation object from n_x and n_z vectors |
SystemModel["Modelica.Mechanics.MultiBody.Frames.from_nxz"]
This information is part of the Modelica Standard Library maintained by the Modelica Association.
R = Frames.from_nxz(n_x, n_z);
It is assumed that the two input vectors n_x and n_z are resolved in frame 1 and are directed along the x and z axis of frame 2 (i.e., n_x and n_z 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 always returns
an orientation object R, even if n_z is not orthogonal to n_x.
This is performed in the following way:
If n_x and n_z are not orthogonal to each other, first a unit
vector e_z is determined that is orthogonal to n_x and is lying
in the plane spanned by n_x and n_z. If n_x and n_z are parallel
or nearly parallel to each other, a vector e_z is selected
arbitrarily such that n_x and e_z 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_z |
Type: Real[3] Description: Vector in direction of z-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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