Dear researches

In general, the value of modal participating mass ratio (MPMR) for each vibration mode represents the participation of each mode in the structural responses.

when a structure equipped with TMD, a vibration mode is added to the others. MPMR value of the added vibration mode can be significant even when TMD mass is very small and as a result, TMD has no effect on the structural responses.

How can this contradiction be justified?

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