Probabilistic Engineering Mechanics

Article	Citations
Offshore renewable energy site correlated wind-wave statistics	63
Probabilistic method for wind speed prediction and statistics distribution inference based on SHM data-driven	30
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review	30
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states	29
Probabilistic reconstruction for spatiotemporal sensor data integrated with Gaussian process regression	28
A long short-term memory based deep learning algorithm for seismic response uncertainty quantification	27
First-passage reliability of high-dimensional nonlinear systems under additive excitation by the ensemble-evolving-based generalized density evolution equation	26
Extreme riser experimental loads caused by sea currents in the Gulf of Eilat	25
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel	25
Copula-based JPDF of wind speed, wind direction, wind angle, and temperature with SHM data	25
Error-based stopping criterion for the combined adaptive Kriging and importance sampling method for reliability analysis	22
Comparison of PDEM and MCS: Accuracy and efficiency	22
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes	21
Robust optimization of MTMD systems for the control of vibrations	17
Topology optimization of buildings subjected to stochastic wind loads	16
Reliability of dynamical systems with combined Gaussian and Poisson white noise via path integral method	16
Multilevel Monte Carlo simulations of composite structures with uncertain manufacturing defects	15
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration	14
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method	14
Dynamic reliability analysis for non-stationary non-Gaussian response based on the bivariate vector translation process	14
Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts	13
Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis	13
Bayesian-based model updating using natural frequency data for historic masonry towers	13
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries	12
Reliability-based optimization of structural topologies using artificial neural networks	12

Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model	12
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment	12
Interval and fuzzy physics-informed neural networks for uncertain fields	12
Moment capacity of H-section steel beam with randomly located pitting corrosion	12
Efficient subset simulation with active learning Kriging model for low failure probability prediction	12
An RKPM-based formulation of the generalized probability density evolution equation for stochastic dynamic systems	12
Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure	11
Stochastic resonance of a multi-stable system and its application in bearing fault diagnosis	11
Machine learning based digital twin for stochastic nonlinear multi-degree of freedom dynamical system	11
Investigations on the restrictions of stochastic collocation methods for high dimensional and nonlinear engineering applications	11
Time-variant reliability global sensitivity analysis with single-loop Kriging model combined with importance sampling	11
Physics-based stochastic aging corrosion analysis assisted by machine learning	10
Survival probability determination of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation	10
An orthogonal normal transformation of correlated non-normal random variables for structural reliability	10
Effects of uncertain suspension parameters on dynamic responses of the railway vehicle system	10
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach	10
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems	9
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms	9
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model	9
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind	9
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems	9
Probabilistic analysis of blast–obstacle interaction in a crowded internal environment	9
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model	9
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods	9
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling	9
A new extension of the modified Weibull distribution with applications for engineering data	9
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters	9
Robust design optimization of nonlinear energy sink under random system parameters	9
Distribution-free P-box processes based on translation theory: Definition and simulation	9
Nonlinear random vibrations of micro-beams with fractional viscoelastic core	9
Influence of interfaces roughness on elastic properties of layered media	8
A deep learning based surrogate model for stochastic simulators	8
Data-driven probabilistic quantification and assessment of the prediction error model in damage detection applications	8
Recent advances in uncertainty quantification in structural response characterization and system identification	8
A RBFNN based active learning surrogate model for evaluating low failure probability in reliability analysis	8
Are seismic fragility curves fragile?	7
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method	7
A univariate Chebyshev polynomials method for structural systems with interval uncertainty	7
Reliability assessment of MR fluid dampers in passive and semi-active seismic control of structures	7
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures	7
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes	7
Nonlinear random vibration analysis: A Bayesian nonparametric approach	7
Using computer techniques for vibration damage estimation under stochastic loading using the Monte Carlo Method for aerospace applications	7
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure	6
Continuous random field representation of stochastic moving loads	6
Reliability analysis of wind turbine subassemblies based on the 3-P Weibull model via an ergodic artificial bee colony algorithm	6
A novel approach to improve accuracy in seismic fragility analysis: The modified intensity measure method	6
Asymptotic Bayesian Optimization: A Markov sampling-based framework for design optimization	6
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems	6
Neumann enriched polynomial chaos approach for stochastic finite element problems	6

Random vibration analysis for train–track interaction from the aspect of uncertainty quantification	6
Bayesian analysis of hierarchical random fields for material modeling	6
Hyperstatic and redundancy thresholds in truss topology optimization considering progressive collapse due to aleatory and epistemic uncertainties	6
Simulation of stationary non-Gaussian multivariate wind pressures based on moment-based piecewise Johnson transformation model	6
A novel analysis method for vibration systems under time-varying uncertainties based on interval process model	6
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database	6
Importance sampling for reliability assessment of dynamic systems under general random process excitation	6
Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements	6
Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions	6
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields	6
Nonstationary random vibration analysis of fractionally-damped systems by numerical explicit time-domain method	6
Finite dimensional models for extremes of Gaussian and non-Gaussian processes	6
3rd-order Spectral Representation Method: Simulation of multi-dimensional random fields and ergodic multi-variate random processes with fast Fourier transform implementation	6
A reliability analysis method based on adaptive Kriging and partial least squares	6
Bifurcation and stability analysis of a hybrid energy harvester with fractional-order proportional–integral–derivative controller and Gaussian white noise excitations	6
Two-scale random field model for quasi-brittle materials	6
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters	6
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD	6
An efficient simulation algorithm for non-Gaussian nonstationary processes	5
Robust design optimization by spline dimensional decomposition	5
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction	5
Optimal load rating-based inspection planning of corroded steel girders using Markov decision process	5
Seismic fragility analysis using stochastic polynomial chaos expansions	5
Implementation of Karhunen–Loève expansion using discontinuous Legendre polynomial based Galerkin approach	5
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes	5
Three-dimensional reliability stability analysis of earth-rock dam slopes reinforced with permeable polymer	5
Model calibration: A hierarchical Bayesian approach	5
Adaptive radial importance sampling under directional stratification	5
Improved pseudo-force approach for Monte Carlo Simulation of non-linear fractional oscillators under stochastic excitation	5
A Kriging-based adaptive adding point strategy for structural reliability analysis	5
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm	5
Dynamic response of a beam to a train of moving forces driven by a translated Poisson process	5
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism	5
On the optimal design of radial basis function neural networks for the analysis of nonlinear stochastic systems	5
Probability distribution estimation for harmonisable loads and responses of linear elastic structures	5
Synthesizing dual-track road elevation data	5
Bayesian analysis for estimating statistical parameter distributions of elasto-viscoplastic material models	5
Data-driven reliability assessment with scarce samples considering multidimensional dependence	5
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions	5
Data-driven modal surrogate model for frequency response uncertainty propagation	5
Adaptive surrogate model coupled with stochastic configuration network strategies for time-dependent reliability assessment	5
Assessment of multi-dimensional joint probability distribution for uncertain mechanical strength parameters under small sample test data	5
Reliability and hybrid maintenance modeling for competing failure systems with multistage periods	4
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters	4
A Chebyshev collocation based sequential matrix exponential method for the generalized density evolution equation	4
An evolutive probability transformation method for the dynamic stochastic analysis of structures	4
Markov chain based non-linear fatigue damage accumulation model	4
Probabilistic machine learning approach for structural reliability analysis	4
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems	4
Informational probabilistic sensitivity analysis and active learning surrogate modelling	4
Dynamic response of a beam to the train of moving forces driven by an Erlang renewal process	4
A probabilistic, empirical model for permeability of mudstone	4
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation	4
Uncertainty analysis of structural output with closed-form expression based on surrogate model	4
On information fusion for reliability estimation with multifidelity models	4
Sample regeneration algorithm for structural failure probability function estimation	4
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings	4
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method	4
Database classification for LRFD of spread foundations under uplift loading in cohesionless soils	4
Dynamic stability simulation of micro-milling under the condition of multi-parameter uncertainty	4
Efficient structural reliability analysis via a weak-intrusive stochastic finite element method	4
Enhanced universal kriging for transformed input parameter spaces	4
Random vibrations of a structure modified by damped absorbers	4
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment	4
Imprecise subset simulation	4
A direct analytical derivation of the multi-dimensional fragility spaces of structures under nonstationary mainshock-multi-aftershock sequences	4
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems	4
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports	4
A database of installation monitoring and uplift load tests of round-shaft helical anchors in Brazil	4
Probabilistic formulation of Miner’s rule and application to structural fatigue	4
Uncertainty and bias in fragility estimates by intensifying artificial accelerations	4
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria	4
Simulation of random fields on random domains	4
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators	4
Variability response function approach for foundation reliability	4
Data-driven identification for approximate analytical solution of first-passage problem	4
The generalized EPC method for the non-stationary probabilistic response of nonlinear dynamical system	3
Collocation method for stochastic delay differential equations	3
Static condensation based reduced order modelling of stochastically parametered large ordered systems	3
Interval model validation for rotor support system using Kmeans Bayesian method	3

Probabilistic characterization of the effect of transient stochastic loads on the fatigue-crack nucleation time	3
Karhunen-Loève expansion based on an analytical solution over a bounding box domain	3
Iterative Polynomial Dimensional Decomposition approach towards solution of structural mechanics problems with material randomness	3
Random response of a viscoelastic dielectric elastomer spherical balloon	3
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields	3
P-AK-MCS: Parallel AK-MCS method for structural reliability analysis	3
Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model	3
Seismic collaborative reliability analysis for a slope considering spatial variability base on optimized subset simulation	3
Probabilistic data-driven framework for performance assessment of retaining walls against rockfalls	3
The exact element stiffness matrices of stochastically parametered beams	3
Partial safety factor calibration using surrogate models: An application for running safety of ballasted high-speed railway bridges	3
Robust model agnostic predictive control algorithm for randomly excited dynamical systems	3
The Melnikov criterion of instability for a fractionally damped rigid block with noise-induced response enhancement	3
Statistical properties of the model parameters in the continuum approach to high-cycle fatigue	3
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind	3
A double-loop relevant vector machine-based system reliability analysis method with Meta-IS idea and active learning strategy	3
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges	3
Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method	3
Efficient conditional probability theorem and importance sampling-based methods for global reliability sensitivity analysis	3
Adaptive Kriging Adopting PSO with Hollow-Hypersphere space in structural reliability assessment	3
Non-stationary probabilistic analysis of non-linear ship roll motion due to modulated periodic and random excitations	3
Fragility analysis of curtain walls based on wind-borne debris considering wind environment	3
Modeling Gaussian and Gamma random fields for layered material properties with transitional zones	3
Stochastic harmonic function-based traffic load simulation method for fatigue damage assessment of concrete bridges	3
Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations	3
Random vibration analysis of nonlinear structure with pounding tuned mass damper	3
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects	3
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials	3
Effects of limit state data on constructing accurate surrogate models for structural reliability analyses	3
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network	3
Data-driven polynomial chaos-interval metamodel for dynamics and reliability analysis under hybrid uncertainty	3
Simulation of non-Gaussian stochastic processes with prescribed rainflow cycle count using short-time Fourier transform	2
Probabilistic slope stability analysis: A novel distribution for soils exhibiting highly variable spatial properties	2
Stochastic analysis of small-scale beams with internal and external damping	2
Reliability evaluation of folding wing mechanism deployment performance based on improved active learning Kriging method	2
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations	2
Self-similarity and response of fractional differential equations under white noise input	2
A copula-based quantified airworthiness modelling for civil aircraft engines	2
A non-parametric evaluation method in staircase test for improving fatigue limit assessment	2
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution	2
Interplay between nonlinear Fokker–Planck equation and stochastic differential equation	2
Field simulation of settlement analysis for shallow foundation using cone penetration data	2
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems	2
Bayesian inference of pit corrosion in prestressing strands using Markov Chain Monte Carlo method	2
The tempered space-fractional Cattaneo equation	2
A novel non-intrusive ROM for randomly excited linear dynamical systems with high stochastic dimension using ANN	2
Variability response functions for statically indeterminate structures	2
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables	2
Panamax cargo-vessel excessive-roll dynamics based on novel deconvolution method	2
Identification of missing input distributions with an inverse multi-modal Polynomial Chaos approach based on scarce data	2
The two-level probabilistic description of the compressive constitutive parameters of concrete	2
Optimization-oriented exponential-polynomial-closure approach for analyzing nonlinear stochastic oscillators	2
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields	2
Special collection on data-centric foundation engineering using statistics	2
Koopman operator for time-dependent reliability analysis	2
Probabilistic analysis-based vibration characteristics of intentionally mistuned blisk	2
A polynomial chaos efficient global optimization approach for Bayesian optimal experimental design	2
Reliability analysis framework for shallow foundations resting on reinforced cohesionless soils	2
A comparative study of various metamodeling approaches in tunnel reliability analysis	2
Characterizing anisotropic spatial variations of uncertain mechanical parameters for clay layer using incomplete probability data	2
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints	2
Regional reliability sensitivity analysis based on dimension reduction technique	2
On the numerical solution of fractional differential equations under white noise processes	2
A dimension-reduction based maximum entropy method for probabilistic ultimate load prediction in composite corrugated sandwich panels	2
High-speed rolling bearing lubrication reliability analysis based on probability box model	2
A novel reliability updating based method for efficient estimation of failure-probability global sensitivity	2
Stochastic stiffness identification and response estimation of Timoshenko beams via physics-informed Gaussian processes	2
Developed triangular charts; deltaic CPTu-based soil behavior classification using AUT:CPTu-Geo-Marine Database	2
Design by adaptive infill sampling with multi-objective optimization for exploitation and exploration	2
Bayesian model updating of eight-storey CLT building using modal data	2
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties	2
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction	2
Stochastic analysis and dynamic reliability of the heavy-haul train–bridge system based on direct probability integral method	2