1. Response of SDOF systems to periodic excitation
Periodic function: repeats itself every period T
P(t+T)=p(t) for any t T

2. Finding steady state response of a SDOF system to a periodic excitation
Decompose excitation into series of harmonic functions
Find response to each harmonic function
Superimpose responses

3. Finding steady state response of a SDOF system to a periodic excitation (continued)

4. Finding steady state response of a SDOF system to a periodic excitation (continued)
Find steady state response to each component of the series
Superimpose response to find total response