Analysis of the probability matrix model for the seismic damage vulnerability of empirical structures

The seismic damage of various structures has a significant impact on human production and life, to understand the seismic performance of typical structures and analyze their vulnerability characteristics, and achieve the objective of improving the seismic capacity of structures, and data from 18,480 empirical seismic damage samples from 33 cities and towns for the May 12, 2008, Wenchuan earthquake (China) are summarized and statistically analyzed. The reconnaissance results of the empirical seismic damage show that the structures of masonry structure, multistory reinforced concrete structure, bottom frame-seismic wall masonry and brick-timber and brick-masonry building have the characteristics of widespread application, a myriad of samples and typical failure, sample data for the categories of abovementioned structures are analyzed by statistics and numerical methods, and the empirical seismic damage probability matrix models are established. A nonlinear regression model for calculating the vulnerability grade and the number of samples damaged is proposed. Combined with the empirical sample data, the vulnerability regression function and the curve model of multiple structural types in the VI–X region are established. A mean vulnerability seismic index probability matrix model considering the empirical seismic vulnerability probability in the multiseismic region is proposed. The model is validated by using the above sample database, and the mean damage index matrix in the multiseismic zone is obtained. The analysis results can effectively evaluate the vulnerability characteristics of typical structures in multiseismic regions and provide a necessary reference for a view to a future revision of the building codes and seismic intensity scales currently in force.