Copula theory-based main shock and aftershock joint vulnerability analysis method

Abstract

The invention provides a Copula theory-based main shock and aftershock joint vulnerability analysis method. The method comprises the following steps of: selecting main shock and aftershock seismic records to form main shock and aftershock sequence seismic oscillations; establishing a numerical value finite element analysis model of a structure; inputting the main shock and aftershock sequence seismic oscillations to carry out dynamic and time-historical analysis, selecting maximum deformation and residual deformation as seismic demand parameters, and establishing a probability demand model, under the action of the main shock and aftershock sequence seismic oscillations, of the structure on the basis of a distribution strip method; establishing a joint probability seismic demand model, based on the maximum deformation and the residual deformation, of the structure on the basis of a Copula theory; establishing a main shock and aftershock joint vulnerability function of the structure; andgenerating a main shock and aftershock vulnerability hook face of the structure by adoption of a Monte Carlo simulation method. According to the method, continuous influences, on the structure, of the main shock and the aftershock are considered, and a main shock and aftershock vulnerability analysis result on the basis of the maximum deformation of the structure and a main shock and aftershock vulnerability analysis result on the basis of the residual deformation of the structure are combined by utilizing the Copula theory, so that the safety, under the action of the main shock and aftershock sequence seismic oscillations, of the structure can be comprehensively and quantitatively evaluated.

Description

technical field [0001] The invention belongs to the technical field of earthquake risk and earthquake damage prediction analysis, and in particular relates to a combined vulnerability analysis method of main and aftershocks based on Copula theory. Background technique [0002] my country is located between the circum-Pacific seismic belt and the Asia-Europe seismic belt. This unique geographical location makes my country earthquakes frequently, and also makes my country one of the countries with the most serious earthquake disasters in the world. In fact, my country not only has a large number of earthquakes, but also has strong earthquake destructiveness, which has caused a large number of economic losses and casualties to our country. [0003] In the existing seismic design and evaluation of structures, the effect of an earthquake (main shock) is considered more, but the additional damage caused by the aftershocks after the main shock to the damaged structure of the main s...

AI Technical Summary

Problems solved by technology

[0006] The purpose of the invention is to solve the defect that only one earthquake action (main shock) can be considered in the seismic vulnerability analysis of existing structures, and a method for incorporating the main shock and aftershock intensity parameters into the existing seismic vulnerability analysis simultaneously is provided, Combine the two failure mechanisms of residual deformation and maximum deformation with Copula theory to form a new vulnerability analysis that can consider both the main shock and aftershocks, as well as the two failure mechanisms of residual deformation and maximum deformation The model provides a theoretical basis for the prediction of the seismic performance of the structure under the combined action of the main shock and aftershocks, and it is used in the earthquake damage prediction and post-earthquake analysis of urban engineering buildings

Images