A contribution to the SFE-based reliability assessment of nonlinear structures under dynamic loading

Dynamic response and reliability analysis of structures with uncertain parameters

“…The similar methodology, to directly employ the level crossing theory after gaining the statistical quantities with the random perturbation, is widely used as well, say, in References [12,13]. In Reference [14], the stochastic finite element method is embedded in the reliability analysis procedure. Despite the above investigations, however, the joint probability density function of the response and its velocity required in the Rice formula is usually unavailable and can only be assumed, say, to be normal or Rayleigh distribution, with the acquired mean and the standard deviation.…”

Nonlinear dynamic analysis of frames with stochastic non-Gaussian material properties

“…The material law considered is bilinear with pure kinematic hardening, where the properties of each integration section differ according to the stochastic fields of Eqs. (9) and (10). The frame section properties belong to five groups: two for the columns (interior and exterior), and three for the beams (one for each storey).…”

“…Alternatively, applications of the response surface method have been proposed [10,11], while studies can be found on the statistical equivalent linearization (EQL) method for the response variability and the reliability estimation of discrete nonlinear systems [4]. In [12], the EQL technique has been combined with a spectral approach using Hermite polynomial chaos representation of the random response quantities of the equivalent linear system.…”

Probabilistic Analysis of a Rock Salt Cavern with Application to Energy Storage Systems

“…The Shape Function method introduced by Liu & Kiureghian (1986), and the Optimal Linear Estimation method developed by Li & Kiureghian (1993) also can be classified in this category. The other members of this group are integration point method which is presented in Brenner & Bucher (1995).…”