Iterative
method is one of the methods we use to determine the normalized mode shape of
MDOF system. This method requires us to conduct iterative calculation until the
trial answer for displacement converges with the resultant displacement through
calculation. Only then, we may determine the natural frequency of structure
when it is vibrating in this mode.
The following shows the derivation and application of iterative method in 3-DOF system. Watch the video above for full details.
Derivation 1
Derivation 2
Derivation 3
Application - iteration 1
Application - solution
Application - natural frequency
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