Dynamic
magnification factor (DMF) takes into account the dynamic effect in increasing
a system’s response relative to equivalent static response.
We can
devise three possible cases based on the value of frequency ratio.
When the
force frequency is negligible, a structure becomes stiffness control system, and
the structural response is not magnified since the excitation is very slow.
On the
other hand, relatively high force frequency when compared to natural frequency
of the system yields a mass control system. The response of structure can be
reduced by increasing its mass.
When force
frequency equals to the natural frequency of the system, resonance occurs. This
is not a favourable scenario as the value of DMF can become very high, and
makes the structure unsafe.
The following shows the derivation related to dynamic magnification factor. Watch the video above for full details.
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