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

TransformationMatrices

Functions for transformation matrices

Package Contents

absoluteRotation
Return absolute orientation object from another absolute and a relative orientation object
angularVelocity1
Return angular velocity resolved in frame 1 from orientation object and its derivative
angularVelocity2
Return angular velocity resolved in frame 2 from orientation object and its derivative
axesRotations
Return rotation object to rotate in sequence around 3 axes
axesRotationsAngles
Return the 3 angles to rotate in sequence around 3 axes to construct the given orientation object
axisRotation
Return rotation object to rotate around one frame axis
der_Orientation
New type defining the first time derivative of Orientation
from_nxy
Return orientation object from n_x and n_y vectors
from_nxz
Return orientation object from n_x and n_z vectors
from_Q
Return orientation object T from quaternion orientation object Q
from_T
Return orientation object R from transformation matrix T
from_T_inv
Return orientation object R from inverse transformation matrix T_inv
inverseRotation
Return inverse orientation object
multipleResolve1
Transform several vectors from frame 2 to frame 1
multipleResolve2
Transform several vectors from frame 1 to frame 2
nullRotation
Return orientation object that does not rotate a frame
Orientation
Orientation type defining rotation from a frame 1 into a frame 2 with a transformation matrix
orientationConstraint
Return residues of orientation constraints (shall be zero)
planarRotation
Return orientation object of a planar rotation
planarRotationAngle
Return angle of a planar rotation, given the rotation axis and the representations of a vector in frame 1 and frame 2
relativeRotation
Return relative orientation object
resolve1
Transform vector from frame 2 to frame 1
resolve2
Transform vector from frame 1 to frame 2
resolveDyade1
Transform second order tensor from frame 2 to frame 1
resolveDyade2
Transform second order tensor from frame 1 to frame 2
smallRotation
Return rotation angles valid for a small rotation and optionally residues that should be zero
to_exy
Map rotation object into e_x and e_y vectors of frame 2, resolved in frame 1
to_Q
Return quaternion orientation object Q from orientation object T
to_T
Return transformation matrix T from orientation object R
to_T_inv
Return inverse transformation matrix T_inv from orientation object R
to_vector
Map rotation object into vector
Information