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 2021-09-01 to 2025-09-01.)
ArticleCitations
Generation of realistic 3D concrete aggregate microstructures using multiscale multifractal evolutionary stochastic manifold and operator-split-genetic algorithm103
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment84
Analytical response and Markovianity of systems governed by fractional differential equations driven by 49
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty46
On the parametric assessment of fatigue disparities40
Reliability analysis method for multiple failure modes with overlapping failure domains40
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction38
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty37
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime37
Eigenvalue analysis of stochastic structural systems: A quantum computing approach28
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise26
Special Issue: Risk and Uncertainty in Engineering Computations26
Editorial Board25
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral23
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification23
Finite dimensional (FD) Slepian models for non-Gaussian processes22
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders22
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus21
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method21
Stochastic averaging in parametric regions near separatrices of integrability20
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models20
Nonlinear random vibrations of micro-beams with fractional viscoelastic core20
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure20
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables20
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations19
Fragility analysis of curtain walls based on wind-borne debris considering wind environment18
Time-dependent kinematic reliability of motion mechanisms with dynamic factors18
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling18
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications18
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis17
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle17
Koopman operator for time-dependent reliability analysis17
Random set solutions to elliptic and hyperbolic partial differential equations17
Neumann enriched polynomial chaos approach for stochastic finite element problems17
Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts16
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration16
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel16
Bayesian-based model updating using natural frequency data for historic masonry towers16
Estimation of small failure probabilities using the Accelerated Weight Histogram method15
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism15
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields15
Reliability-based seismic retrofitting design methodology for non-ductile reinforced concrete frame structures15
Corrigendum to “Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method” [Probabilistic Engineering Mechanics 72 (2023) 103448]15
A novel double-layer kriging model-based reliability analysis framework for time-dependent structural system with stochastic process14
A data-driven maximum entropy method for probability uncertainty analysis based on the B-spline theory14
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage14
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms14
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model14
Offshore renewable energy site correlated wind-wave statistics13
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems13
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model13
Response moments of parametrically excited linear oscillators based on the Wiener path integral13
Topology optimization of bridges under random traffic loading using stochastic reduced-order models13
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges13
Finite Element Limit Analysis of Undrained Vertical Bearing Capacity of Skirted Foundations in Anisotropic Random Cohesive Soils13
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method13
Geometrical uncertainties influence on the failure load estimation of lattice structures13
A probabilistic performance-based analysis approach for a vibrator-ground interaction system12
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure12
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators12
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind12
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials12
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations12
Machine learning based digital twin for stochastic nonlinear multi-degree of freedom dynamical system12
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response12
Mellin transform for the probabilistic characterization of random variables and stochastic processes12
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria11
Karhunen-Loève expansion based on an analytical solution over a bounding box domain11
Reference prior for Bayesian estimation of seismic fragility curves11
Informational probabilistic sensitivity analysis and active learning surrogate modelling11
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD11
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel11
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems11
A novel hybrid time-variant reliability analysis method through approximating bound-most-probable point trajectory11
Probabilistic characterization of the effect of transient stochastic loads on the fatigue-crack nucleation time11
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation11
A novel general method for simulating a one dimensional random field based on the active learning Kriging model11
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers11
Reliability-based design optimization of key components in a gantry machining center11
Interval deep learning for computational mechanics problems under input uncertainty10
Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions10
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach10
A two stage Kriging approach for Bayesian optimal experimental design10
B-splines chaos and Kalman Filters for solving a stochastic differential equation10
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes10
Editorial Board10
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries10
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises10
Robust design optimization by spline dimensional decomposition10
Small failure probability analysis of stochastic structures based on a new hybrid approach10
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation10
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states9
Synthesizing dual-track road elevation data9
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule9
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system9
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds9
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed9
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method9
Collocation method for stochastic delay differential equations9
Reliability Analysis of Subsea Control Systems based on FFTA and Bayesian Network9
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations9
Comparison of PDEM and MCS: Accuracy and efficiency9
Editorial Board9
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling9
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports9
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization9
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads8
A comparative analysis of intrusive and non-intrusive PCE methods for random mode computation8
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties8
Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis8
Distribution-free P-box processes based on translation theory: Definition and simulation8
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters8
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model8
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems8
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network8
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise8
Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure7
Stochastic design optimization of nonlinear structures under random seismic excitations using incremental dynamic analysis7
The two-level probabilistic description of the compressive constitutive parameters of concrete7
High-speed rolling bearing lubrication reliability analysis based on probability box model7
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves7
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China7
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions7
Dynamic reliability analysis for non-stationary non-Gaussian response based on the bivariate vector translation process7
Data-driven modeling of high-speed maglev track irregularity7
Probability density evolution filter7
Interval and fuzzy physics-informed neural networks for uncertain fields7
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints7
Wind speed monitoring using entropy theory and a copula-based approach7
Random response of a viscoelastic dielectric elastomer spherical balloon7
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks7
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields7
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database7
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations7
Solution of ordinary differential equation with random parameters using Kronecker product7
Optimal load rating-based inspection planning of corroded steel girders using Markov decision process7
Influence of noise on First Passage Time maps and their use in damage detection7
Editorial Board7
A probabilistic, empirical model for permeability of mudstone7
Editorial Board7
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters7
Imprecise subset simulation7
Evolutionary power spectrum estimation of multi-variate nonstationary stochastic processes based on interpolation enhanced energy reckoning-based method7
Harnessing physics-informed operators for high-dimensional reliability analysis problems7
Reliability-informed design table for optimizing tuned mass-damper-inerter systems to improve structural seismic performance6
Revisiting the estimation of extreme wind speed considering directionality6
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects6
The exact element stiffness matrices of stochastically parametered beams6
Uncertainty and bias in fragility estimates by intensifying artificial accelerations6
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems6
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation6
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems6
Robust optimization of MTMD systems for the control of vibrations6
A new active learning method for reliability analysis based on local optimization and adaptive parallelization strategy6
Editorial Board6
Reliability analysis combining method of moments with control variates6
Asymptotic Bayesian Optimization: A Markov sampling-based framework for design optimization6
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model6
Performance analysis of an energy harvester with a nonlinear energy sink and time delay under narrow-band noise excitation6
Bayesian analysis for estimating statistical parameter distributions of elasto-viscoplastic material models6
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes6
Random vibration analysis for train–track interaction from the aspect of uncertainty quantification6
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters6
Reduced-order equivalent linearization based on explicit time-domain method for nonstationary random vibration analysis of nonlinear systems6
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction6
Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations6
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings5
System identification and reliability assessment of hyperelastic materials via an efficient sparsity-promoting variational Bayesian approach5
Recent advances in uncertainty quantification in structural response characterization and system identification5
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures5
MDOF stochastic stability analysis and applications to a coupled rotating shaft system5
Constraint interval model updating with Chebyshev inclusion functions5
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems5
Efficient Runge–Kutta solver for stochastic crack growth analysis5
Editorial Board5
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices5
Joint spatial modeling of significant wave height and wave period using the SPDE approach5
Probabilistic analysis-based vibration characteristics of intentionally mistuned blisk5
Static condensation based reduced order modelling of stochastically parametered large ordered systems5
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems5
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis5
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments5
A long short-term memory based deep learning algorithm for seismic response uncertainty quantification5
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind5
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods5
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings5
Interplay between nonlinear Fokker–Planck equation and stochastic differential equation5
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method5
A nested hierarchy of second order upper bounds on system failure probability5
An evolutive probability transformation method for the dynamic stochastic analysis of structures5
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method5
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis4
Stochastic dispersion behavior and optimal design of locally resonant metamaterial nanobeams using nonlocal strain gradient theory4
Survival probability of structures under fatigue: A data-based approach4
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields4
Random vibrations of a structure modified by damped absorbers4
Editorial Board4
Probabilistic solution of a homogeneous linear second-order differential equation with randomized complex coefficients4
Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model4
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review4
Application of particle filter variants to estimate the remaining useful life4
Application of the Tail Equivalent Linearization Method to wave bending moment and comparison with experimental data4
On the numerical solution of fractional differential equations under white noise processes4
Moment Lyapunov exponents and stochastic stability of non-linear systems under white-noise excitation4
Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo4
Two-phase optimized experimental design for fatigue limit testing4
Confidence-based design optimization using multivariate kernel density estimation under insufficient input data4
Effect of uncertain damping coefficient on the response of a SDOF system4
Uncertainty analysis of structural output with closed-form expression based on surrogate model4
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise4
Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method4
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes4
Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification4
Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy4
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm4
Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function4
Dimensional reduction technique-based maximum entropy principle method for safety degree analysis under twofold random uncertainty4
Enhanced universal kriging for transformed input parameter spaces4
Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model4
Extreme riser experimental loads caused by sea currents in the Gulf of Eilat4
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
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment4
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation4
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution4
Research on control parameters of high-speed maglev train under stochastic track irregularities4
A layer assigned probability space partition method for structural small failure probability problem4
Stochastic bifurcation and nonlinear dynamics analysis of stochastic wheelset system with double time delays3
A perspective on conditional spectrum-based determination of response statistics of nonlinear systems3
Enhanced multi-fidelity modeling for digital twin and uncertainty quantification3
The influence of slope geometric parameters on the reliability of slope reinforced by micro-piles in spatially variable soils3
Using computer techniques for vibration damage estimation under stochastic loading using the Monte Carlo Method for aerospace applications3
Bayesian-based probabilistic models for the ultimate drift capacity of rectangular reinforced concrete columns failed in flexure mode3
Probabilistic slope stability analysis: A novel distribution for soils exhibiting highly variable spatial properties3
Characterizing anisotropic spatial variations of uncertain mechanical parameters for clay layer using incomplete probability data3
A database of installation monitoring and uplift load tests of round-shaft helical anchors in Brazil3
Probability distribution estimation for harmonisable loads and responses of linear elastic structures3
Three-dimensional reliability stability analysis of earth-rock dam slopes reinforced with permeable polymer3
An extended two-scale random field model for stochastic response analysis and its application to RC Short-leg shear wall structure3
Special collection on data-centric foundation engineering using statistics3
Quantitative property of MF-discrepancy and efficient point-selection strategy for the nonlinear stochastic response analysis of structures with random parameters3
Probability density evolution method based stochastic simulation of near-fault pulse-like ground motions3
Editorial Board3
Probabilistic stability analyses of active shallow trapdoor in spatially random sand3
Improved pseudo-force approach for Monte Carlo Simulation of non-linear fractional oscillators under stochastic excitation3
Probability density function of whole-body vibration in passenger car3
Stochastic analysis model for metro vehicle-floating slab track coupled system considering shear hinges3
Laplace and Mellin transform for reconstructing the probability distribution by a limited amount of information3
Stochastic analysis and dynamic reliability of the heavy-haul train–bridge system based on direct probability integral method3
Model calibration: A hierarchical Bayesian approach3
Response of Gaussian white noise excited oscillators with inertia nonlinearity based on the RBFNN method3
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