Introduction to Resonance

March 29, 2018

Resonance is an important concept in sine testing. Previously, we defined resonance as the state of a system when high vibration levels occur in response to an external stimulus. Resonance occurs when the frequency of the stimulus is the same, or nearly the same, as the system’s natural vibration frequency.

In Figure 4.1, three resonances stand out at 67.99 hertz (Hz), 142.1Hz, and 538.1Hz.

acceleration profile with resonances of a metal beam

Figure 4.1. Resonances of a metal beam.

When the shaker vibrated at 538.1Hz (the same as the external stimulus), the end of the beam responded with a much greater vibration. The amplitude of the external stimulus was about 1G. The amplitude of the vibration of the end of the beam vibrated at 33.11G. The frequency of the stimulus was the same, or nearly the same, as the natural vibration frequency of the metal beam.

There are several measurements that describe a resonance: transmissibility, bandwidth, and Q-factor. We will now turn to these measurements.