Computational methods for accounting of structural uncertainties, applications to dynamic behavior prediction of piping systems

Approximating Reliability of a System with Doubly Bounded Performance Functions

“…For the numerical integration methods the reader can refer to [7], for the second class refer to [3,4,5,11], and for the third class to [1,2,8,10,12].…”

Flutter reliability analysis of suspension bridges

“…As indicated in [29], these methods have a significant disadvantage: the accuracy of the results is unable to be validated. To circumvent the disadvantage of these methods, Hohenbichler and Rackwitz [30] developed an importance sampling updating method to improve the SORM estimate.…”

“…MCS is not appropriate for a value of n ¼ 30 since it takes an enormous amount of time. Therefore, the exact values for n ¼ 30 are obtained from [29]. From Table 2 one can see that when the number of random variables is large (e.g.…”

Non‐parametric–parametric model for random uncertainties in non‐linear structural dynamics: application to earthquake engineering

“…For the problem under consideration, data uncertainties concern the local parameters of the ÿnite element model and the parameters of the non-linear forces. Usually, parametric approaches are used to model data uncertainties [1][2][3][4][5][6][7] for evaluating and analyzing the response of structures with uncertain parameters under seismic loads, like piping and equipment, power plant installations and industrial structures (for instance, see References [8][9][10][11][12]). Nevertheless, such approaches do not allow model uncertainties to be taken into account.…”