the seismic damage curve for confidence level is determined by the Q following expression: , (7.2) where and direct and inverse standard normal distribution functions; Ф(∙) Ф-1(∙) confidence level. Q The median curve is obtained from the expression (7.2) by substituting Q=0.5 in (7.2), taking into account that (or assuming that is without =0, Ф-1(0.5)=0 account of the epistemic uncertainty parameter ). The curve for the 95% level of confidence is obtained by substituting Q=0.95 in (7.2). In addition to that, the damage rate can be considered as the mean curve: , (7.3) where determines the total spread. Mean (composite) curve is determined by the following relation: , (7.4) where combined uncertainty. Fig. 7.2 gives an example of the seismic damage rate curves for various fractiles. The representative points of the curves are: median corresponding to the Am conditional probability of 0.5 on the median and mean curves, and the point on the horizontal axis corresponding to the element seismic margin (HCLPF). The 0.05 probability value on the 0.95 confidence level curve or the 0,01 value on the mean (composite) curve corresponds to the HCLPF acceleration.
the seismic damage curve for confidence level Q is determined by the following expression: , (7.2) where Ф(∙) and Ф-1(∙) direct and inverse standard normal distribution functions; Q confidence level. The median curve is obtained from the expression (7.2) by substituting Q=0.5 in (7.2), taking into account that Ф-1(0.5)=0 (or assuming =0, that is without account of the epistemic uncertainty parameter ). The curve for the 95% level of confidence is obtained by substituting Q=0.95 in (7.2). In addition to that, the damage rate can be considered as the mean curve: , (7.3) where determines the total spread. Mean (composite) curve is determined by the following relation: , (7.4) where combined uncertainty. Fig. 7.2 gives an example of the seismic damage rate curves for various fractiles. The representative points of the curves are: median Am corresponding to the conditional probability of 0.5 on the median and mean curves, and the point on the horizontal axis corresponding to the element seismic margin (HCLPF). The 0.05 probability value on the 0.95 confidence level curve or the 0,01 value on the mean (composite) curve corresponds to the HCLPF acceleration.
RB-123-17%20ENG.docx