Why is recognizing all significant vibration modes critical in engineering analysis?

Answer

A steady vibration source might match a higher-frequency mode (like twisting) even if it misses the lowest-frequency mode (like swaying).

A physical object has several modes of vibration, each with its own natural frequency; if a steady vibration source matches the frequency of any significant mode, that specific mode's amplitude will skyrocket.

Why is recognizing all significant vibration modes critical in engineering analysis?
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