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Showing papers in "Probabilistic Engineering Mechanics in 2011"


Journal ArticleDOI
TL;DR: A new iterative methodology is developed that estimates a non-Gaussian PSDF that is compatible with the prescribed non- Gaussian PDF, and closely approximates the prescribed incompatible non- Gaia PSDF.

125 citations


Journal ArticleDOI
TL;DR: In this article, a reliability based optimization of TMD parameters in seismic vibration control under bounded uncertain system parameters is presented, where the first-passage probability of failure of the system is taken as the performance objective.

122 citations


Journal ArticleDOI
TL;DR: In this paper, a stochastic computational framework for the combined use of the individual bridge damage level due to extreme events and the bridge network performance evaluation is presented, where the correlation distance of the damage can strongly affect the network performance indicators.

107 citations


Journal ArticleDOI
TL;DR: A new decentralized data aggregation approach for system identification based on the Random Decrement Technique (RDT) is presented and shown to be suitable for implementation in the intrinsically decentralized computing environment found in wireless smart sensor networks (WSSNs).

77 citations


Journal ArticleDOI
TL;DR: In this article, the authors proposed a structural reliability analysis with equality information, which enables the use of any SRM, including those based on simulation, for reliability updating by solving a standard structural system reliability problem.

70 citations


Journal ArticleDOI
TL;DR: In this article, the adaptive directional importance sampling (ADIS) algorithm is presented, which is based on a directional simulation scheme in which the most important directions are sampled exact and the others by means of a response surface approach.

68 citations


Journal ArticleDOI
TL;DR: In this paper, the response in terms of probability density function of nonlinear systems under combined normal and Poisson white noise is considered via a Path Integral Solution (PIS) that may be considered as a step-by-step solution technique.

61 citations


Journal ArticleDOI
TL;DR: A comprehensive Bayesian approach for structural model updating which accounts for errors of different kinds, including measurement noise, nonlinear distortions stemming from the linearization of the model, and modeling errors due to the limited predictability of the latter is presented.

58 citations


Journal ArticleDOI
TL;DR: In this paper, the effects of spatially variable weathered rock properties on various tunnel behaviors, such as deformation, elastic-plastic interface, ground reaction curve, and failure mechanism were explored.

55 citations


Journal ArticleDOI
TL;DR: In this paper, an approach is proposed to establish a life-cycle optimum inspection plan under uncertainty, which leads to cost-effective maintenance interventions, considering uncertainties associated with damage occurrence/propagation and inspection methods.

55 citations


Journal ArticleDOI
TL;DR: This paper combines the ideas of MMH and MHDR and proposes a novel modification of the MH algorithm, called the Modified Metropolis–Hastings algorithm with delayed rejection (MMHDR), which can be used for computing small failure probabilities in high dimensions.

Journal ArticleDOI
TL;DR: In this article, the authors focus on conducting lifetime performance assessment and management of aging steel bridges under fatigue by integrating three prediction models: fatigue reliability model, crack growth model, and probability of detection (PoD) model.

Journal ArticleDOI
TL;DR: In this paper, a modified Metropolis-Hastings algorithm with reduced chain correlation is proposed for reliability estimation of Markov chain samples. But the modified algorithm differs from the original in terms of the transition probability.

Journal ArticleDOI
TL;DR: A general probabilistic life prediction methodology for accurate and efficient fatigue prognosis is proposed in this article, which is based on an inverse first-order reliability method (IFORM) to evaluate the fatigue life at an arbitrary reliability level.

Journal ArticleDOI
TL;DR: In this article, a modal assurance criterion was proposed for estimating the posterior uncertainty of the mode shape of a footbridge and a super-tall building in a Bayesian setting.

Journal ArticleDOI
TL;DR: In this paper, a combined method of the probability approach and support vector machine (SVM) to predict failure degradation based on simulated and experimental failure bearing data is presented, where the failure rate as a degradation parameter is calculated using the Cox-proportional hazard model and the reliability theory based on both simulated and test data.

Journal ArticleDOI
TL;DR: In this article, the authors combine finite element method (FEM) for structural analysis and particle filtering for dynamic state estimation to tackle the problem of structural system parameter identification based on a set of noisy measurements on static and dynamic structural responses.

Journal ArticleDOI
TL;DR: The method of CF-MLSM based RBDO has been shown to not only ensure constraint feasibility in a case where the meta-model-based RBDo process is employed, but also to require low expense, as compared with both conventional MLSM and non-approximate R BDO methods.

Journal ArticleDOI
TL;DR: In this paper, a simulation formula to generate stationary multivariate stochastic processes is derived from the Fourier-Stieltjes integral of spectral representation, which is proved that the proposed algorithm generates ergodic sample functions in the mean value and in the correlation when the sample length is equal to one period (the generated sample functions are periodic).

Journal ArticleDOI
TL;DR: In this article, the authors considered a first passage time reliability problem for systems subjected to multiplicative and additive white noises and used the path integration method for numerical calculations of the reliability function.

Journal ArticleDOI
TL;DR: In this paper, an analysis method on the bridge-vehicle interaction problem with uncertainties is proposed, where the bridge is modeled as a simply supported Euler-Bernoulli beam with non-Gaussian material parameters.

Journal ArticleDOI
TL;DR: In this paper, a general approach that relates microscopic models with those at the mesoscopic scale and then the macroscopic scale is reviewed, where the models at the micro-scale level are defined by a large number of interacting entities (particles, agents, cells, etc), and is in terms of a Markov jump process and related linear evolution equations.

Journal ArticleDOI
TL;DR: In this paper, the reliability index is used to estimate the mean out-crossing rate of a response level, which is defined as the standard deviation of the response in question.

Journal ArticleDOI
TL;DR: In this paper, the concept of a variability response function (VRF) for effective material properties is introduced based on the equivalence of elastic strain energy in the heterogeneous and equivalent homogeneous bodies.

Journal ArticleDOI
TL;DR: In this article, a perspective on the veracity of the conditional power spectral density (PSD) derivation is provided by utilizing spectral representations both for the excitation and for the response processes of the nonlinear system; this is done in conjunction with a stochastic averaging treatment of the problem.

Journal ArticleDOI
TL;DR: In this paper, a family of probabilistic criteria for stochastic optimal control is developed in the context of structural performance control, including single-objective criteria, of which the statistics and tail details of probability density of equivalent extreme-value vectors of interest are involved, and multiobjective metrics, such as the ensemble expectation and exceedance probability of equivalent processes in the sense of performance and energy trade-off are involved.

Journal ArticleDOI
Sharif Rahman1
TL;DR: In this article, it was shown that the referential dimensional decomposition (RDD) and cut-high-dimensional model representation (cut-HDMR) lead to identical function approximations.

Journal ArticleDOI
TL;DR: In this article, the authors proposed a method for computing the response of nonlinear structures in a very efficient manner by first separating the DOFs appearing in the nonlinear and/or stochastic terms from those DOFs that involve only linear deterministic operations.

Journal ArticleDOI
TL;DR: The failure probability of the wind turbine model is estimated down to very low values; this demonstrates the efficiency and power of the method on a realistic high-dimensional highly nonlinear system.

Journal ArticleDOI
TL;DR: In this paper, the first passage failure of single-degree-of-freedom (SDOF) nonlinear oscillator with lightly fractional derivative damping under real noise excitations is investigated.