Modeling Of Higher-mode Effects Using An
Optimal Multi-modal Pushover Analysis
Author(s)
T. Attard & A. Fafitis
Abstract
An accurate optimal pushover analysis is developed to predict the higher-mode
influence in multi degree of freedom (DOF) buildings. Performance levels are
determined and seismic demands are calculated using two different ground
acceleration records. The methodology is based on elastic structural dynamics
theory and retains the simplicity of standard pushover procedures that rigorous
time history analyses do not provide. A variant inertial load pattern is
determined by updating the building’s vibration properties at each stage of
yielding. Each load pattern is derived using one mode shape at every yielding
stage thereby capturing the higher-mode effects (HME). Using the energy under
the building’s capacity curve then enables a single optimal mode shape to be
determined; this defines a representative single-DOF system (R-SDOF).
Towards this end, an optimization algorithm is written to minimize the target
displacement error between the pushover and nonlinear time-history analyses of
a few buildings for a certain ground record. Optimal capacity and demand
parameters are then determined and used to combine the individual mode shapes
from each stage of yielding into the single optimal mode shape. This approach
enables HME and phenomena such as HME and P-∆effects to be captured
through the optimal parameter identification. These same parameters are then
applied in a pushover analysis of other buildings. The results are shown to
compare favorably to a separate nonlinear time-history analysis.
Keywords: performance-based assessment, higher-mode effects, time-history
analysis, pushover analysis.
Keywords
performance-based assessment, higher-mode effects, time-history
analysis, pushover analysis.
Related Book
Other papers in this volume
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