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

Ixx — Moment of inertia

scalar

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

Data Types: double

Ixy — Product of inertia in xy plane

scalar

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

Data Types: double

Ixz — Product of inertia in xz plane

scalar

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

Data Types: double

Iyy — Moment of inertia about y-axis

scalar

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

Data Types: double

Iyz — Product of inertia in yz plane

scalar

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

Data Types: double

Izz — 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

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