Wolfram Computation Meets Knowledge

Mechanical Engineering

Use System Modeler to model and simulate dynamics problems including mechanisms and machinery with kinematic, dynamic, and thermal behaviors. Study and solve vibration problems.

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.

To run this example, you'll need

The latest versions of System Modeler and Mathematica.

Please make a selection:

Get a
free trial
with download

The Model

The model consists of a series of coupled inertia components separated by clutches between them. When a clutch is engaged, friction will be present between two adjacent inertia components, causing them to transfer momentum to each other. The first and the last inertia components are damped by rotational dampers, and a constant torque is applied to the first inertia.

The inertias are separated by clutches that can be engaged or disengaged to vary the structure of the drivetrain.


By simulating the model, the angular velocities of the inertias over time can be studied. The effect of engaging the different clutches can be seen in the plot below.

After 5 seconds, the second clutch from the left is engaged, followed by the third after 10 seconds. After 15 seconds, the first clutch is disengaged.

Fully Customizable Model Plots

Add and store your findings using plot markers, plot labels and many more.


By applying a sinusoidal function to the last clutch, a pattern emerges that can be studied using Fourier analysis.

Fourier analysis applied on the acceleration signal of the last inertia when the final clutch is applied using a sinusoidal force.

Unlimited Analysis

Bring the full power of the Wolfram Language to your model analysis.

Model a Drivetrain

Analyze the drivetrain’s behavior with different clutches engaged at different times.