A vectorial damage limit-state capacity model for double-layer piers based on RF
To determine the seismic capacity of double-layer piers,a vectorial damage limit-state capacity model was constructed based on the random forest(RF)algorithm.The seismic excitation angle was treated as a uniformly distributed random variable,and a large number of Pushover analyses were conducted to build a capacity sample database for double-layer piers,which was used to train a predictive model for their capacity values.SHAP was employed for feature importance analysis.The results indicate that the capacity threshold of double-layer piers does not follow a lognormal distribution,and the distribution parameters are significantly different from previously suggested values.The vectorial damage limit-state capacity model can effectively capture the stratification of capacity values of double-layer piers,with the coefficient of determination R2>0.95,demonstrating reliable prediction performance.The seismic excitation angle notably influences the seis-mic capacity of double-layer piers.Compared with upper columns,the target value for the severe damage limit-state of double-layer piers is more susceptible to the characteristics of lower columns.Therefore,attention should be given to the attributes of lower columns to enhance the overall seismic performance of double-layer piers.