The natural frequency of a cantilever beam is the frequency at which the beam will vibrate when it is disturbed from its equilibrium position. This frequency is determined by the physical properties of the beam, such as its length, width, thickness, and material properties.

Resonance is the phenomenon that occurs when an object is subjected to a force that has the same frequency as the object's natural frequency. When this happens, the object will vibrate with a large amplitude.

For a cantilever beam, the resonance frequency is slightly higher than the natural frequency. The difference between these two frequencies is known as the damping ratio. The damping ratio is a measure of how quickly the beam's vibrations will decay after it is disturbed.

In general, the higher the damping ratio, the faster the beam's vibrations will decay. Beams with a high damping ratio are less likely to resonate than beams with a low damping ratio.

Here is a table summarizing the differences between natural frequency and resonance:

| Property | Natural Frequency | Resonance |

|---|---|---|

| Definition | Frequency at which object will vibrate when disturbed | Phenomenon that occurs when object is subjected to force with same frequency as natural frequency |

| Relationship to physical properties | Determined by length, width, thickness, and material properties | Slightly higher than natural frequency |

| Effect of damping ratio | Not affected | Higher damping ratio results in faster decay of vibrations |