WOLFRAM SYSTEM MODELER

Spherical

Spherical cut joint and translational directions may be constrained or released

Wolfram Language

In[1]:=
SystemModel["Modelica.Mechanics.MultiBody.Joints.Constraints.Spherical"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This model does not use explicit variables e.g. state variables in order to describe the relative motion of frame_b with to respect to frame_a, but defines kinematic constraints between the frame_a and frame_b. The forces and torques at both frames are then evaluated in such a way that the constraints are satisfied. Sometimes this type of formulation is also called an implicit joint in literature.

As a consequence of the formulation the relative kinematics between frame_a and frame_b cannot be initialized.

In particular in complex multibody systems with closed loops this may help to simplify the system of non-linear equations. Please compare the translation log using the classical joint formulation and the alternative formulation used here in order to check whether this fact applies to the particular system under consideration.

In systems without closed loops the use of this implicit joint does not make sense or may even be disadvantageous.

See the subpackage Examples.Constraints for testing the joint.

Parameters (5)

x_locked

Value: true

Type: Boolean

Description: = true: constraint force in x-direction, resolved in frame_a

y_locked

Value: true

Type: Boolean

Description: = true: constraint force in y-direction, resolved in frame_a

z_locked

Value: true

Type: Boolean

Description: = true: constraint force in z-direction, resolved in frame_a

animation

Value: true

Type: Boolean

Description: = true, if animation shall be enabled (show sphere)

sphereDiameter

Value: world.defaultJointLength / 3

Type: Distance (m)

Description: Diameter of sphere representing the spherical joint

Inputs (2)

sphereColor

Default Value: MBS.Types.Defaults.JointColor

Type: Color

Description: Color of sphere representing the spherical joint

specularCoefficient

Default Value: world.defaultSpecularCoefficient

Type: SpecularCoefficient

Description: Reflection of ambient light (= 0: light is completely absorbed)

Connectors (2)

frame_a

Type: Frame_a

Description: Coordinate system a fixed to the component with one cut-force and cut-torque

frame_b

Type: Frame_b

Description: Coordinate system b fixed to the component with one cut-force and cut-torque

Components (3)

world

Type: World

Description: World coordinate system + gravity field + default animation definition

sphere

Type: Shape

Description: Visualizing an elementary object with variable size; all data have to be set as modifiers (see info layer)

R_rel

Type: Orientation

Description: Dummy or relative orientation object from frame_a to frame_b

Used in Examples (1)

SphericalConstraint

Modelica.Mechanics.MultiBody.Examples.Constraints

Body attached by one spring and spherical joint or constrained to environment