Symmetric Inertia Tensor

R2026b

Create inertia tensor from moments and products of inertia

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Symmetric Inertia Tensor block

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Libraries:
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

I_xx — Moment of inertia

scalar

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

Data Types: double

I_xy — Product of inertia in xy plane

scalar

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

Data Types: double

I_xz — Product of inertia in xz plane

scalar

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

Data Types: double

I_yy — Moment of inertia about y-axis

scalar

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

Data Types: double

I_yz — Product of inertia in yz plane

scalar

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

Data Types: double

I_zz — Moment of inertia about z-axis

scalar

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

Data Types: double

Output

I — Inertia tensor

3-by-3 matrix

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

Data Types: double

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced before R2006a