Simple Harmonic Motion
Damped Harmonic Motion
Driven Harmonic Motion
Also known as forced harmonic motion, this is harmonic motion in which the system is given a periodic push. A perfect example is a person on a swing.
How the system behaves depends on how the frequency of the driving force compares to the natural frequency of oscillation of the system.
Definition Provided by Boston University
Resonance is the tendency of a system to oscillate at a greater amplitude at some frequencies than at others. Frequencies at which the response amplitude is a relative maximum are known as the system's resonant frequencies, or resonance frequencies. At these frequencies, even small periodic driving forces can produce large amplitude oscillations, because the system stores vibrational energy.