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由于基于性能的单指标易损性方法在结构易损性分析中忽略了非承重构件及设备仪器破坏的影响,该文提出了基于多维性能极限状态的易损性分析方法,采用承重构件敏感的最大层间位移参数与非承重构件及设备仪器敏感的最大加速度参数作为性能量化指标,建立了基于多维性能极限状态的广义方程描述结构整体的极限破坏状态。根据超越概率的定义,并考虑量化指标间相关性及其阀值的随机性,推导得到了二维性能极限状态下超越概率的解析解;并利用matlab拟合得到了结构在正常使用、可以使用、生命安全、防止倒塌四个性能水平下的易损性曲线。
Because performance-based single-index vulnerability method ignores the impact of non-load-bearing components and equipment damage in structural vulnerability analysis, this paper presents a vulnerability analysis method based on multi-dimensional performance limit state, using load-bearing component-sensitive Maximum layer displacement parameters and maximum acceleration parameters sensitive to non-load-bearing components and equipment as performance quantification index, a generalized equation based on multi-dimensional performance limit state is established to describe the ultimate failure state of the whole structure. According to the definition of transcendental probability and considering the randomness of correlation between quantitative indexes and its threshold, the analytic solution of transcendental probability in two-dimensional performance limit state is deduced. And the structure can be used in normal condition by matlab fitting , Life safety, to prevent collapse under the four performance levels of the vulnerability curve.