The statement about the taller the building the lower the frequency at which it resonates, and the longer the period of oscillation, is True.
What does the natural period or resonance frequency depend on?
The natural period or resonance frequency of a building does depend on its height. Taller buildings tend to have lower resonance frequencies and longer periods of oscillation. This phenomenon is a result of the fundamental principles of structural dynamics.
Taller buildings have greater mass and stiffness, which leads to lower natural frequencies. The period of oscillation is inversely proportional to the frequency, so taller buildings have longer periods of oscillation.
This is a crucial consideration in the design and analysis of tall structures to ensure their stability and safety during earthquakes or other dynamic loads.