trick/trick_source/trick_utils/SAIntegrator/examples/MassSpringDamper

MassSpringDamper

The MassSpringDamper program uses the SA::EulerCromerIntegrator class to simulate a forced mass-spring-damper system.

Initial conditions:

• mass = 1 kg.
• spring constant = 157.913670 N/m, gives a frequency of 2 hz.
• damping constant = 5 Ns/m.

Run-time:

Every 5 seconds, the system is given an impulse of 500 Newtons for 0.005 seconds.

After each numerical integration time-step, the simulation program prints

1. time (s)
2. position (m)
3. velocity (m/s)

to stdout, in Comma Separated Values (CSV) format.

Building & Running the Simulation Program

To compile MassSpringDamper:

$ make

To run it, and generate a CSV file:

$ ./MassSpringDamper > msd.csv

Plotting the Results

The Python script, plot_position.py is provided to plot the results in msd.csv using (Python) matplotlib.

Plot position vs. time as follows:

$ python plot_position.py