Civil Engineering Association

Implications of vertical mass modeling errors on 2D dynamic structural analysis

The use of diagonal (lumped) mass matrices is common in dynamic structural analysis. The assumptions made
when performing the lumping procedure, however, are not always consistent with the underlying physical behavior
and can therefore modify the dynamic properties of the modeled structure. The influence of errors in mass
modeling for vertical degrees of freedom on dynamic behavior and seismic response is illustrated. We demonstrate
that overestimation of the lumped masses associated with vertical displacements in 2D frame models of
these structures leads to inaccurate modal periods and associated modal participation factors for dynamic response.
The ramifications of these inaccuracies on seismic response are shown and implications in other dynamic analysis
situations are discussed.

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