Abstract
Realistic modeling of structures depends on both refined FE models and the incorporation of uncertainties inherent to geometric, structural and loading parameters. In this work, a mode-based meta-model is adopted for performing an efficient stochastic dynamic reliability analysis of a multi-story building subjected to stochastic ground acceleration. The meta-model allows for an efficient evaluation of the structural modes which are represented as a linear combination of the modes of a reference solution. The calibration of the meta-model is based on the modes of a few, say 50, samples of the structure obtained with Monte Carlo simulation. The parameters of the meta-model are then evaluated by the least square solution of the parameters determined for each sample of the calibration set. The reliability analysis is carried out efficiently through the application of the meta-model for estimating the modal properties which are then subsequently required to perform a mode-superposition analysis. The verification of the results for the reliability assessment carried out with the meta-model is performed with a full finite element analysis and shows a good agreement of the response over the whole duration of the stochastic ground acceleration.
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Acknowledgments
This research was partially supported by the Austrian Research Council (FWF) under Project No. L269-N13 which is gratefully acknowledged by the authors.
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Pichler, L., Pradlwarter, H.J., Schuëller, G.I. (2011). Application of a Mode-based Meta-Model for the Reliability Assessment of Structures Subjected to Stochastic Ground Acceleration. In: Papadrakakis, M., Stefanou, G., Papadopoulos, V. (eds) Computational Methods in Stochastic Dynamics. Computational Methods in Applied Sciences, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9987-7_8
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