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Mechanical Systems  / Function Index  /
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PrincipalAxes
3D

• PrincipalAxes[{Ixx, Iyy, Izz, Ixy, Iyz, Izx}] returns the list {{I1, I2, I3}, {axis1, axis2, axis3}}, where {I1, I2, I3} are the principal moments of inertia and {axis1, axis2, axis3} are the corresponding principal axes of the body represented by the given inertia properties.

• {axis1, axis2, axis3} is actually the rotation matrix from the reference frame in which the inertia properties were specified to the principal axes reference frame.
• See also:
CompositeInertia, GyroFilter, ParallelAxis.

Further Examples

Load the Modeler3D package.

In[1]:=

Here are inertia properties transformed from a noncentroidal to centroidal reference frame.

In[2]:=
Out[2]=

Here are the principal axes of the resulting inertia properties.

In[3]:=
Out[3]=

This rotates the original inertia matrix into the principal frame.

In[4]:=
Out[4]=

Here is the result of combining two sets of inertia properties.

In[5]:=
Out[5]=


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