The bonded structural probability distribution functions (PDFs) and non-bonded pair correlation function (PCF) of the CG beads were obtained from the atomistic simulation results.
The latter was used in a Monte Carlo simulation of 10,000 prototype unit sheets, whose ensemble average conformed with the distribution and averages of structural probability density functions.
Probability and fuzzy set theory is used to estimate structural failure probabilities and to ad dress the ambiguity of the boundaries of the performance levels.
A Monte Carlo sampling method based on both first- and second-order approximations to the failure region is proposed for the calculation of structural failure probabilities.
The failure-probability-based global sensitivity measure can detect the effect of input variables on the structural failure probability, which can provide useful information in reliability-based design.
Structural failure probability is calculated by combining structural fragility curves with the random variability of wind speed and direction, depending on local wind climate.
These fragility curves can then be used within the context of the engineering analysis design cycle, so as to minimize structural failure probability under both man-made hazards such as blasts and natural hazards such as earthquake-induced transient loads.
Instead of computing the probability of a complete structure, the probabilities of atomic structural elements, i.e. base pairs, are computed.
Instead of computing the probability of a complete structure, the probabilities of atomic structural elements, i.e. base pairs, are computed by what has become known and widely used as the McCaskill algorithm.
The analytical seismic fragility, as an amount of probability of damage, is calculated in this appear based on seismic hazard analysis, selection of typical structures, structural analysis, damage criteria, and probability distribution function.
