大跨桥梁结构随机地震反应的概率密度演化分析
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摘要
采用非平稳地震动随机过程的正交展开模型,结合最新发展的概率密度演化方法,以南京长江第三大桥为工程背景,对大跨度斜拉桥在随机地震作用下的动力反应进行研究。重点研究在"顺桥向"、"横桥向"、"顺桥向+横桥向"及"顺桥向+横桥向+竖向"四种不同地震动输入模式下的斜拉桥结构的随机动力反应,从而获得在不同控制准则下结构反应的丰富概率信息,这为大跨桥梁结构的随机地震反应和抗震可靠度分析提供新的途径。
Based on the probability density evolution method,dynamic responses of the long-span cable-stayed bridge under random seismic excitations are investigated. Firstly,the non-stationary earthquake ground motion based on the orthogonal expansion method is represented,and the generalized probability density evolution equation of the stochastic dynamical system is elaborated,respectively. Meanwhile,probability density evolution analysis of seismic responses of the Nanjing Yangtze River No. 3 Bridge is implemented. The four different seismic input models,such as,along bridge direction,cross bridge direction,along bridge & cross bridge direction,along bridge & cross bridge & vertical direction,are carried out,respectively. The probability information of seismic responses of the long span cable-stayed bridge in different control rules is obtained. It provides a new approach to study random seismic response and seismic reliability analysis of long-span bridge structures.
引文
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