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Inertia

Mass and inertia tensor of solid mass

  • Library:
  • Body Elements

Description

The Inertia block adds the inertial properties of a point or distributed mass to the attached frame. The inertia type depends on the parameterization selected. A Point Mass parameterization enables you to model a concentrated mass with no rotational inertia. A Custom parameterization enables you to model a distributed mass with the specified moments and products of inertia. An inertia icon identifies the inertia location in the Mechanics Explorer visualization pane.

Ports

Frame

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Local reference frame of the inertia element. Connect to a frame line or frame port to define the relative position and orientation of the inertia.

Parameters

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Inertia parameterization to use. Select Point Mass to represent a mass with no rotational inertia. Select Custom to represent a distributed mass with rotational inertia.

Aggregate mass of the solid. The mass can be a positive or negative value. Specify a negative mass to model the aggregate effect of voids and cavities in a compound body.

[x y z] coordinates of the center of mass relative to the block reference frame. The center of mass coincides with the center of gravity in uniform gravitational fields only.

Three-element vector with the [Ixx Iyy Izz] moments of inertia specified relative to a frame with origin at the center of mass and axes parallel to the block reference frame. The moments of inertia are the diagonal elements of the inertia tensor

(IxxIyyIzz),

where:

  • Ixx=V(y2+z2)dm

  • Iyy=V(x2+z2)dm

  • Izz=V(x2+y2)dm

Three-element vector with the [Iyz Izx Ixy] products of inertia specified relative to a frame with origin at the center of mass and axes parallel to the block reference frame. The products of inertia are the off-diagonal elements of the inertia tensor

(IxyIzxIxyIyzIzxIyz),

where:

  • Iyz=Vyzdm

  • Izx=Vzxdm

  • Ixy=Vxydm

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See Also

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Introduced in R2012a

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