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中文摘要：
结构的地震反应危险性曲线体现了结构的地震反应与地震动强度之间的关系，采用随机延性需求谱可以很方便地建立结构的地震反应危险性曲线。非线性结构在随机地震作用下的位移反应分析属于非线性随机振动问题，采用随机延性需求谱可以简单而有效的获得非弹性单自由度体系的随机位移反应的统计量，结合非线性静力分析,还可以进行多自由度结构的随机地震反应分析。此外，随机延性需求谱还可以用于结构的抗震可靠度分析。
英文摘要：
Seismic response hazard curves of a structure represent the relationship between the seismic response of a structure and the intensity of earthquake. Using the probabihstic ductility demand spectrum, the seismic response hazard curves＇ of a structure can be established conveniently. Displacement response analysis of nonlinear structures under stochastic seismic is attributed to nonlinear stochastic vibration. The statistic of stochastic displacement response of nonlinear single-degree-of-freedom systems can be simply and effectively obtained by the probabilistic ductility demand spectrum. Combined with nonlinear static analysis, probabilistic ductility demand spectrum can be applied to the analysis of stochastic seismic response of multi-degree-of-freedom systems. Furthermore, probabilistic ductility demand spectrum can be utilized in seismic structural reliability analysis.
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