Maintaining high accuracy and efficiency is a challenging issue in time-dependent reliability analysis. In this work, an accurate and efficient method is proposed for limit-state functions with the following features: The limit-state function is implicit with respect to time. There is only one stochastic process in the input to the limit-sate function. The stochastic process could be either a g...

This paper proposes a non-intrusive stochastic analysis procedure for reliability analysis of the serviceability performance of an underground cavern with an implicit limit state function. This procedure is formulated on the basis of the stochastic response surface method (SRSM) and the deterministic finite element method. First, the SRSM is briefly introduced and implemented through a MATLAB c...

kiarostami’s unfinished cinema emphasizes the importance of audiences’ involvement in a movie by using postmodern images. some essential points of critically reading his, so-called half-created cinema, could be summarized as self-reflexive style, diagrammatical perspectives, in-between narratives,and individual minimalism. the main postmodern achievement of this cinema is focusing on the proces...

With the continual rise of sea levels and deterioration of flood defence structures over time, it is no longer appropriate to define a design level of flood protection, but rather, it is necessary to estimate the reliability of flood defences under varying and uncertain conditions. For complex geotechnical failure mechanisms, it is often necessary to employ computationally expensive finite elem...

We give a general construction for the classical limit of a quantum system defined in terms of generators of an arbitrary compact semisimple Lie algebra, generalizing known results for the su2 and su3 cases. The classical limit depends on the physical problem in question and is determined by the sequence of representations by which it is reached. Only in the simplest cases it is unique. We pres...

In this paper, available standard procedures for the evaluation of failure probabilities are compared and critically discussed in view of their applications in high dimensions, multiple failure domains and implicit performance function (FE-analyses). Approximate FORM/SORM and Importance Sampling are compared with Line Sampling. It is shown that FORM lacks robustness in high dimensions and SORM ...

In application to numerical analysis of geotechnical problems, the limit-state surface is usually not known in any closed form. The probability of failure can be assessed via the so-called reliability index. A minimization problem can naturally be formed with an implicit equality constraint defined as the limit-state function and optimization methods can be used for such problems. In this paper...

A continuous-time anti-integrable limit is considered in the context of time-dependent Lagrangian systems on the torus. The anti-integrable limit is the singular (or adiabatic) limit in the singularly (adiabatically, resp.) perturbed problems. This paper presents an implicit function theorem version of the results of Bolotin and MacKay (1997 Nonlinearity 1