WOLFRAM SYSTEM MODELER

from_nxy

Return orientation object from n_x and n_y vectors

Wolfram Language

In[1]:=
SystemModel["Modelica.Mechanics.MultiBody.Frames.TransformationMatrices.from_nxy"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Syntax

T = TransformationMatrices.from_nxy(n_x, n_y);

Description

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 T to rotate from frame 1 to frame 2.

The function is robust in the sense that it returns always an orientation object T, 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.

See also

Frames.from_nxy.

Syntax

T = from_nxy(n_x, n_y)

Inputs (2)

n_x

Type: Real[3]

Description: Vector in direction of x-axis of frame 2, resolved in frame 1

n_y

Type: Real[3]

Description: Vector in direction of y-axis of frame 2, resolved in frame 1

Outputs (1)

T

Type: Orientation

Description: Orientation object to rotate frame 1 into frame 2