A driving force (such as your voice in the example) puts energy into a system at a certain frequency, which is not necessarily the same as the natural frequency of the system.
Over time the energy dissipates, and the amplitude gradually reduces to zero- this is called damping.
The natural frequency is the frequency at which a system would oscillate if there were no driving and no damping force.
The phenomenon of driving a system with a frequency equal to its natural frequency is called resonance, and a system being driven at its natural frequency is said to resonate.
Beats are produced by the superposition of two waves with slightly different frequencies but the same amplitude.
This wave fluctuates in amplitude, or beats, with a frequency called the beat frequency
The lowest resonant frequency is called the fundamental, while all higher resonant frequencies are called overtones.
All resonant frequencies are multiples of the fundamental, and are called harmonics.