What is the relationship between the steady state amplitude of forced oscillation and the driving frequency in a mechanical system?

The relationship between the steady state amplitude of forced oscillation and the driving frequency in a mechanical system is that the amplitude of the oscillation increases as the driving frequency approaches the natural frequency of the system. This phenomenon is known as resonance. At resonance, the system absorbs more energy from the driving force, causing the amplitude of the oscillation to be at its maximum.