Equilibrium position

equilibrium position

It is not possible in this manual to give a course on frequency analysis. There are many textbooks giving a good introduction to these interesting and valuable techniques. (See for example reference [1]). If you have little background in this subject, we suggest you get a suitable textbook and do these examples after or as you read it.

Frequency analysis standard techniques are based on the assumption that the linearization is done at an equilibrium position. Sometimes it is possible to set starting values manually which you know give an equilibrium position and this is true in the simple example we have looked at so far. In general, however, this will not be possible.

To ensure it is an equilibrium point, several ways are possible:

1. Do a very long dynamic run with the Hold inputs constant option. Do the linearization at the end and check carefully by plotting graphs that equilibrium has been achieved.

2. Do a Stabilizing run with a linearization at the start time.

3. Do a Stabilizing run and Dynamic run with a linearization at the end.

Note

If you are doing analysis of this type and there is any Coulomb and static friction in the model, it is essential to set the values to 0.