5 | General Forcing

At the end of this section, you should be able to find closed-form solutions for

  1. Non-harmonic, periodic forcing

  2. Aperiodic Forcing

    1. Impulses

    2. Step functions

    3. Ramp functions

    4. Aggregate functions

General Periodic Forcing

When the EOM is in the form

where, is in its Fourier Series expanded form,

The particular solution is found term by term to be

Aperiodic Forcing

Impulse

Ramp

Step

where

Aggregate

Code