Joint with three revolute and one prismatic joint primitives
This content is specific to Simscape™ Multibody™ First Generation software. First-generation features are slated to be deprecated and should be avoided.
The Bearing block represents a composite joint with one translational degree of freedom (DoF) as one prismatic primitive and three rotational DoFs as three revolute primitives. There are no constraints among the primitives. Unlike Telescoping, Bearing represents the rotational DoFs as three revolutes, rather than as one spherical.
A joint with three revolute primitives becomes singular if two or three of the rotation axes become parallel (“gimbal lock”). The simulation stops with an error in this case.
A joint with three revolute primitives must be configured in the initial state with the three revolute primitive axes mutually orthogonal. There are no restrictions on the primitive axes once the simulation starts, except to prevent any two of the primitive axes from becoming parallel.
Bearings are often represented by one translational and one rotational DoF. The Bearing block has three rotational degrees of freedom, rather than one, in order to represent transverse “play” in the joint.
A Joint block represents the relative degrees of freedom between two bodies, not the bodies themselves.
You must connect any Joint block to two and only two Body blocks, the base and the follower. All Joints have two connector ports for these connections, defining the direction of joint motion (base to follower). You connect each side of the Joint block to these Body blocks at a Body coordinate system (CS) port.
You specify the joint primitive axes, if any, in the Joint dialog.
This Joint block is assembled and places restrictions on the connected Body CSs.
If the Joint has one or more prismatic primitives, the origins of the connected Body CSs must lie in the span of the prismatic axes:
|Number of Prismatic Primitives||Span of Primitive Axes|
|One||Along the primitive axis|
|Two||In the plane of the primitive axes|
|Three||Anywhere in three-dimensional space|
The dialog has two active areas, Connection parameters and Parameters.
The base (B)-follower (F) Body sequence determines the sense of positive motion. Positive translation is the follower moving in the direction of the translation axis. Positive rotation is the follower moving around the rotational axis following the right-hand rule.
When you connect the base (B) connector port on the Bearing block to a Body CS Port on a Body, this parameter is automatically reset to the name of this Body CS. See the following figure, Bearing Base and Follower Body Connector Ports.
The base Body is automatically connected to the first joint
R1 in the primitive list in Parameters.
When you connect the follower (F) connector port on the Bearing block to a Body CS Port on a Body, this parameter is automatically reset to the name of this Body CS. See the following figure, Bearing Base and Follower Body Connector Ports.
The follower Body is automatically connected to the last joint
P1 in the primitive list in Parameters.
Using this spinner menu, you can set the number of extra connector
ports needed for connecting Joint Actuator and Joint Sensor blocks
to this Joint. The default is
The motions of prismatic and revolute primitives are specified in linear and angular units, respectively.
Bearing Base and Follower Body Connector Ports
Switch between the Axes and Advanced tabs.
The primitive list states the names and types of joint primitives
that make up the Bearing block: revolute primitives
and prismatic primitive
Enter here as a three-component vector the directional axes defining the allowed motions of these primitives and their corresponding DoFs:
Prismatic: axis of translation
Revolute: axis of rotation
The default vectors are shown in the dialog above. The axis is a directed vector whose overall sign matters.
To prevent singularities and simulation errors, no two of the revolute axes can be parallel.
Using the pull-down menu, choose the coordinate system (World,
the base Body CS, or the follower Body CS) whose coordinate axes the
vector axis of action is oriented with respect to. This CS also determines
the absolute meaning of forces/torques and motion along/about the
joint axis. The default is
The entries on the Axes tab are required. Each DoF primitive in Bearing has an entry line. These lines specify the direction of the axes of action of the DoFs that the Bearing represents.
The Advanced tab is optional. You use it to control the way Simscape Multibody simulation interprets the topology of your schematic diagram.
In a closed loop, the simulation internally and automatically cuts one and only one joint.
If you want this particular joint to be weighted preferentially for cutting during the simulation, select the check box. The default is not selected.
See Modeling Degrees of Freedom for more on representing DoFs with Joints.