Example studing the effect of four inertias separated by clutches.


Wolfram Language




Coupled Clutches



By coupling clutches together, a variable structure drivetrain can be achieved. With different clutches engaged at different times, torque is supplied to different parts of the system. In the accompanying notebook, the system is analyzed using built-in templates. These simplify many of the model analytics tasks that can be performed on SystemModeler models with the Wolfram Language.

In order to get the full experience of this example, you need the following:


These pages show an overview of the example. For the full example, open the accompanying notebook CoupledClutches.nb.



Simulating the model allows you to look at how the different inertia components behave over time, and how they are affected by each other. In order to properly analyze this model, it is recommended to use the Wolfram Language notebook that came with this model when it was downloaded.

To simulate the model in SystemModeler, do the following:

  • Click the Simulate button simulate.

When the simulation is finished and Simulation Center has been opened, you can analyze the result by clicking the various states or Stored Plots to the left of the Simulation Center window. For example, AngularVelocities shows the angular velocities of the inertia components over time, while Clutch1EngagementVelocities shows the relative velocities of the first and the second inertia components, as well as the force applied to the clutch between them.

To analyze the model based on a different parameter set than the default, select the state you want to edit in the Model Center and change the desired initial value under Parameters in the General tab. It can also be done directly from Simulation Center, under the Parameters tab. Changing the d parameter will change the damping on the first and the last inertia components, for example.


Parameters (5)


Value: 15

Type: Time (s)

Description: Time when clutch1 is disengaged


Value: 5

Type: Time (s)

Description: Time when clutch2 is invoked


Value: 10

Type: Time (s)

Description: Time when clutch3 is invoked


Value: 2

Type: Damping (s⁻¹)

Description: Damping constant


Value: 5

Type: Torque (N·m)

Description: Input torque

Components (2)


Type: Step


Type: Clutches