Symmetric Inertia Tensor

Create inertia tensor from moments and products of inertia

• Library:
• Aerospace Blockset / Mass Properties

Description

The Symmetric Inertia Tensor block creates an inertia tensor from moments and products of inertia. Each input corresponds to an element of the tensor.

The inertia tensor has the form of:

$Inertia=\left[\begin{array}{lll}{I}_{xx}\hfill & -{I}_{xy}\hfill & -{I}_{xz}\hfill \\ -{I}_{xy}\hfill & {I}_{yy}\hfill & -{I}_{yz}\hfill \\ -{I}_{xz}\hfill & -{I}_{yz}\hfill & {I}_{zz}\hfill \end{array}\right]$

Ports

Input

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Moment of inertia about the x-axis, specified as a scalar.

Data Types: double

Product of inertia in the xy plane, specified as a scalar.

Data Types: double

Product of inertia in the xz plane, specified as a scalar.

Data Types: double

Moment of inertia about the y-axis, specified as a scalar.

Data Types: double

Product of inertia in the yz plane, specified as a scalar.

Data Types: double

Moment of inertia about the z-axis, specified as a scalar.

Data Types: double

Output

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Symmetric inertia tensor, returned as a 3-by-3 matrix.

Data Types: double