Probabilistic Engineering Mechanics

Papers
(The median citation count of Probabilistic Engineering Mechanics is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)
ArticleCitations
Generation of realistic 3D concrete aggregate microstructures using multiscale multifractal evolutionary stochastic manifold and operator-split-genetic algorithm81
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty72
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction45
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment40
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty38
Reliability analysis method for multiple failure modes with overlapping failure domains37
Analytical response and Markovianity of systems governed by fractional differential equations driven by 35
On the parametric assessment of fatigue disparities33
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise30
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime28
Special Issue: Risk and Uncertainty in Engineering Computations26
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification23
Editorial Board23
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral21
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders21
Finite dimensional (FD) Slepian models for non-Gaussian processes20
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables19
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method19
Time-dependent kinematic reliability of motion mechanisms with dynamic factors19
Nonlinear random vibrations of micro-beams with fractional viscoelastic core19
Koopman operator for time-dependent reliability analysis18
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications18
Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts18
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism17
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration17
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure17
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling17
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle16
Bayesian-based model updating using natural frequency data for historic masonry towers16
Editorial Board16
Random set solutions to elliptic and hyperbolic partial differential equations15
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis15
Neumann enriched polynomial chaos approach for stochastic finite element problems15
Stochastic averaging in parametric regions near separatrices of integrability15
Fragility analysis of curtain walls based on wind-borne debris considering wind environment14
Corrigendum to “Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method” [Probabilistic Engineering Mechanics 72 (2023) 103448]14
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel14
A data-driven maximum entropy method for probability uncertainty analysis based on the B-spline theory14
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations14
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields13
Robust design optimization of nonlinear energy sink under random system parameters13
Estimation of small failure probabilities using the Accelerated Weight Histogram method13
Geometrical uncertainties influence on the failure load estimation of lattice structures13
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems13
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage13
A probabilistic performance-based analysis approach for a vibrator-ground interaction system12
Offshore renewable energy site correlated wind-wave statistics12
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model12
Response moments of parametrically excited linear oscillators based on the Wiener path integral12
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model12
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges12
Topology optimization of bridges under random traffic loading using stochastic reduced-order models12
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms12
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method12
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations11
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure11
Karhunen-Loève expansion based on an analytical solution over a bounding box domain11
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind11
Mellin transform for the probabilistic characterization of random variables and stochastic processes11
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response11
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators11
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel11
Machine learning based digital twin for stochastic nonlinear multi-degree of freedom dynamical system11
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria10
Informational probabilistic sensitivity analysis and active learning surrogate modelling10
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation10
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers10
Reference prior for Bayesian estimation of seismic fragility curves10
A novel general method for simulating a one dimensional random field based on the active learning Kriging model10
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems10
A novel hybrid time-variant reliability analysis method through approximating bound-most-probable point trajectory10
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials10
B-splines chaos and Kalman Filters for solving a stochastic differential equation9
Probabilistic characterization of the effect of transient stochastic loads on the fatigue-crack nucleation time9
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes9
Robust design optimization by spline dimensional decomposition9
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach9
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries9
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises9
Small failure probability analysis of stochastic structures based on a new hybrid approach9
Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions9
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD9
Interval deep learning for computational mechanics problems under input uncertainty9
Synthesizing dual-track road elevation data8
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule8
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports8
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization8
Distribution-free P-box processes based on translation theory: Definition and simulation8
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties8
Editorial Board8
A two stage Kriging approach for Bayesian optimal experimental design8
Collocation method for stochastic delay differential equations8
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations8
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system8
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states8
Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis8
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation8
Editorial Board8
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method8
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters8
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds8
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling8
Editorial Board7
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems7
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise7
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads7
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves7
Interval and fuzzy physics-informed neural networks for uncertain fields7
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China7
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database7
Imprecise subset simulation7
Dynamic reliability analysis for non-stationary non-Gaussian response based on the bivariate vector translation process7
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed7
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network7
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks7
A probabilistic, empirical model for permeability of mudstone7
Random response of a viscoelastic dielectric elastomer spherical balloon7
High-speed rolling bearing lubrication reliability analysis based on probability box model7
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters7
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model7
Comparison of PDEM and MCS: Accuracy and efficiency7
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields7
The two-level probabilistic description of the compressive constitutive parameters of concrete7
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions7
Revisiting the estimation of extreme wind speed considering directionality6
Robust optimization of MTMD systems for the control of vibrations6
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model6
Reliability-informed design table for optimizing tuned mass-damper-inerter systems to improve structural seismic performance6
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation6
Probability density evolution filter6
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations6
Wind speed monitoring using entropy theory and a copula-based approach6
Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations6
Bayesian analysis for estimating statistical parameter distributions of elasto-viscoplastic material models6
Uncertainty and bias in fragility estimates by intensifying artificial accelerations6
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes6
Stochastic design optimization of nonlinear structures under random seismic excitations using incremental dynamic analysis6
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction6
Editorial Board6
Optimal load rating-based inspection planning of corroded steel girders using Markov decision process6
Identification of missing input distributions with an inverse multi-modal Polynomial Chaos approach based on scarce data6
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems6
A new active learning method for reliability analysis based on local optimization and adaptive parallelization strategy6
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects6
Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure6
Asymptotic Bayesian Optimization: A Markov sampling-based framework for design optimization6
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints6
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis5
Editorial Board5
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method5
Editorial Board5
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters5
Reliability analysis combining method of moments with control variates5
Static condensation based reduced order modelling of stochastically parametered large ordered systems5
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind5
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings5
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices5
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings5
The exact element stiffness matrices of stochastically parametered beams5
System identification and reliability assessment of hyperelastic materials via an efficient sparsity-promoting variational Bayesian approach5
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method5
Efficient Runge–Kutta solver for stochastic crack growth analysis5
Random vibration analysis for train–track interaction from the aspect of uncertainty quantification5
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems5
An evolutive probability transformation method for the dynamic stochastic analysis of structures5
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures5
Joint spatial modeling of significant wave height and wave period using the SPDE approach5
Interplay between nonlinear Fokker–Planck equation and stochastic differential equation5
Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model4
Application of particle filter variants to estimate the remaining useful life4
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment4
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes4
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems4
A nested hierarchy of second order upper bounds on system failure probability4
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments4
Explicit closed-form solution for the evolutionary power spectral density function of the stochastic response of structures subjected to artificial accelerograms consistent with pulse-like ground moti4
Editorial Board4
Application of the Tail Equivalent Linearization Method to wave bending moment and comparison with experimental data4
Confidence-based design optimization using multivariate kernel density estimation under insufficient input data4
Research on control parameters of high-speed maglev train under stochastic track irregularities4
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review4
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems4
MDOF stochastic stability analysis and applications to a coupled rotating shaft system4
Book Review4
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation4
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields4
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise4
Probabilistic solution of a homogeneous linear second-order differential equation with randomized complex coefficients4
Extreme riser experimental loads caused by sea currents in the Gulf of Eilat4
Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification4
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis4
A long short-term memory based deep learning algorithm for seismic response uncertainty quantification4
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods4
Probabilistic analysis-based vibration characteristics of intentionally mistuned blisk4
Recent advances in uncertainty quantification in structural response characterization and system identification4
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution4
On the numerical solution of fractional differential equations under white noise processes4
Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model4
Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method4
Uncertainty analysis of structural output with closed-form expression based on surrogate model4
Probabilistic slope stability analysis: A novel distribution for soils exhibiting highly variable spatial properties3
The influence of slope geometric parameters on the reliability of slope reinforced by micro-piles in spatially variable soils3
Editorial Board3
Reliability assessment of civil structures with incomplete probability distribution information3
Probabilistic method for wind speed prediction and statistics distribution inference based on SHM data-driven3
A layer assigned probability space partition method for structural small failure probability problem3
Enhanced universal kriging for transformed input parameter spaces3
Two-phase optimized experimental design for fatigue limit testing3
Random vibrations of a structure modified by damped absorbers3
Error-based stopping criterion for the combined adaptive Kriging and importance sampling method for reliability analysis3
Bayesian-based probabilistic models for the ultimate drift capacity of rectangular reinforced concrete columns failed in flexure mode3
Stochastic bifurcation and nonlinear dynamics analysis of stochastic wheelset system with double time delays3
Self-similarity and response of fractional differential equations under white noise input3
An extended two-scale random field model for stochastic response analysis and its application to RC Short-leg shear wall structure3
Gaussian cross-entropy and organizing intelligence for design optimization of the outrigger system with inclined belt truss in real-size tall buildings3
Statistical model calibration of correlated unknown model variables through identifiability improvement3
Dynamic stability simulation of micro-milling under the condition of multi-parameter uncertainty3
A Kriging-based adaptive adding point strategy for structural reliability analysis3
Dimensional reduction technique-based maximum entropy principle method for safety degree analysis under twofold random uncertainty3
Effect of uncertain damping coefficient on the response of a SDOF system3
Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo3
A practical approach for sampling the Longuet–Higgins distribution for engineering applications3
Reliability evaluation of folding wing mechanism deployment performance based on improved active learning Kriging method3
A perspective on conditional spectrum-based determination of response statistics of nonlinear systems3
Improved pseudo-force approach for Monte Carlo Simulation of non-linear fractional oscillators under stochastic excitation3
Stochastic dynamical systems developed on Riemannian manifolds3
Advances in dimension-reduction methods for simulating univariate and multivariate non-stationary stochastic processes via spectral representation3
Optimal design of cubic nonlinear energy harvester device for random vibrations3
Reliability analysis of wind turbine subassemblies based on the 3-P Weibull model via an ergodic artificial bee colony algorithm3
Partial safety factor calibration using surrogate models: An application for running safety of ballasted high-speed railway bridges3
Data-driven reliability assessment with scarce samples considering multidimensional dependence3
Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function3
Survival probability of structures under fatigue: A data-based approach3
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm3
Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy3
Probabilistic machine learning approach for structural reliability analysis3
Probability density function of whole-body vibration in passenger car3
Maximum likelihood estimation of probabilistically described loads in beam structures3
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