多维性能极限状态随机性及相关性研究
王其昂;吴子燕;刘书奎
【期刊名称】《振动、测试与诊断》 【年(卷),期】2024(039)002
【摘要】In the light of the uncertainty and dependence of the performance limit state(PLS),a multi-dimensional fragility analysis methodology is proposed.Incremental dynamic analysis(IDA)is carried out to generate PLS threshold sample,and a multi-dimensional PLS formula is constructed.The two-dimensional performance limit state band is proposed to determine the structural failure domain.The upper and lower bound of the band area is identified based on the interval estimation.The correlation coefficient is introduced to describe the PLS dependence level.Multi-dimensional probabilistic seismic demand model(PSDM) is obtained through nonlinear dynamic time history analysis.An RC-bridge is used as an example to illustrate the methodology,and the multi-dimensional fragility confidence interval is calculated.The sensitivity of the fragility is carried out.Results show that limit state band can better solve the PLS uncertainty problem.The fragility confidence interval length becomes narrow with the decrease of confidence level.As the PLS correlation coefficient increases,the PLS dependence reduces.Non-conservative fragility estimation will be generated,which is adverse for risk control.%同时考虑性能极限状态随机性