Consider The Random Uncertainty Reinforced Concrete Frame Structure Seismic Reliability Analysis

As an important role of performance-based seismic engineering (PBSE), the theory and application of nonlinear seismic reliability of reinforced concrete frame were reviewed and investigated. The analysis and study were focused on the earthquake resistant reliability of deterministic structure and stochastic structure subjected to random earthquake excitation. A method for assessing the earthquake resistant performance and forecasting the earthquake disaster of seismic structure was proposed correspondingly.Firstly, a reinforced concrete frame under seismic excitation was modeling using Bouc-Wen hysteretic restore force model, and gain the nonlinear differential equations of motion. The technique of equivalent linearization proposed by Y. K. Wen was adopted and applied to the equations of motion directly, and then get a group of one-order differential equations with closed form (namely state equation). In fact, the material properties and damp ratio est. are uncertain and should be regarded as random variables, therefore the reinforced concrete frame is stochastic structure inherently, and then its motive equations converted to combined random differential equations for the uncertain parameters and external random excitation. These equations were solved by order-orthogonal expansion method with pseudo-excitation method, and then the statistic stochastic responses of random structure were obtained. At last, based on the stochastic cumulative damage model with double parameters developed by Park, formulas were formulated for calculating structural earthquake damage probability using the structural reliability theory (mainly JC algorithm) in extensive random space.