2.3.1. Mass Operation and Properties

Figure 2.15: Properties of the Mass feature

Properties of the Mass feature

The Mass feature is used to measure the total mass and mass moment of inertia and center position of selected bodies. This feature is available in a subsystem and at least one body must be selected to use the mass feature. The feature is operated in four steps as follows.

Figure 2.16: Operation steps for the Mass feature

StepOperation
1st stepDefine how to select bodies as shown in the above figure. There are several methods for mouse dragging and selection. The default methods are rectangular selection and to select bodies once. This step is not mandatory.
2nd stepSelect bodies in the working window or Subsystem Navigator.
3rd stepClick Calculate to measure the mass properties as shown in the figure above, or click Close to exit the operation.
4th stepCheck the calculated mass properties in the output window messages, as shown in Figure 2.18: Message for mass measurement in Output window.

This feature supports various options for selecting bodies as summarized in the following table.

Figure 2.17: Properties of the Mass feature

SymbolNameDescription
Properties of the Mass feature
RectangleSet the selection type to rectangle. The cursor is dragged with a rectangular shape.
Properties of the Mass feature
CircleSet the selection type to circle. The cursor is dragged with a circular shape.
Properties of the Mass feature
Select OnceSelect the bodies for which to calculate mass properties. Previously-selected bodies are ignored with this option.
Properties of the Mass feature
AdditionAdd the selected bodies to the set of bodies for which to calculate mass properties.
Properties of the Mass feature
SubtractionRemove the selected bodies from the set of bodies for which to calculate mass properties.
Properties of the Mass feature
CalculateCalculate the mass properties of the selected bodies and display the results in an output window message as shown in Figure 2.18: Message for mass measurement in Output window.
Properties of the Mass feature
OptionSet the reference frame to measure the mass properties by using the Transform Picker.
Properties of the Mass feature
CloseExit the operation.

Figure 2.18: Message for mass measurement in Output window

Message for mass measurement in Output window

The total mass of can be calculated as follows.

(2–1)

where is the mass of ith body.

The center of mass can be calculated as follows.

(2–2)

where and are the orientation and position of the reference frame that is defined from the option. If the reference frame is not defined, the orientation is the identity matrix and the position is zero. is the center position of ith body. As shown in Figure 2.18: Message for mass measurement in Output window, the orientation shows the orientation matrix of the reference frame.

The mass moment of inertia can be calculated as follows.

(2–3)

(2–4)

where, and are the orientation matrix and mass moment of inertia of ith body.