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Evaluation of nonlinear dynamic behavior of rc buildings by using sobol’ decomposition

The structural response to earthquake ground motion is highly uncertain. The uncertainty becomes higher as materials and geometrical nonlinearities are considered in the modeling. In this study, the uncertainly in the outputs of nonlinear dynamic analysis in Reinforced Concrete building, are apportioned to different source of uncertainty in the materials properties. Maximum drift, maximum base shear and total energy dissipated during the earthquake are considered as the outputs and modulus of elasticity, yield stress and Poisson’s ratio of concrete and steel are considered as the inputs in the modeling. PERFORM-3D, which has capabilities to perform nonlinear dynamic analysis for implementing displacement-based design and capacity design, is used for modeling.

In this study, the Sobol’ decomposition technique, which is used in variance based global sensitivity, is implemented to evaluate the sensitivity of output variables to input variables. In this method, the variance of the output is decomposed to the variance of each input variable and their interactions.

The results show that evaluating global sensitivity of the nonlinear analysis of RC building to the materials nonlinearity can be used as one of the effective tools for understanding the role of each material property on the structural dynamic behavior. This information can be used to choose appropriate material property to get the required structural dynamic responses.

Author(s):

Mohammadreza Moradi    
Old Dominion University
United States

Alireza Moradi    
Islamic Azad University
Iran