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 2021-10-01 to 2025-10-01.)
ArticleCitations
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty116
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction86
Analytical response and Markovianity of systems governed by fractional differential equations driven by 51
On the parametric assessment of fatigue disparities46
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise42
Eigenvalue analysis of stochastic structural systems: A quantum computing approach41
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty41
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime38
Reliability analysis method for multiple failure modes with overlapping failure domains37
Generation of realistic 3D concrete aggregate microstructures using multiscale multifractal evolutionary stochastic manifold and operator-split-genetic algorithm28
Special Issue: Risk and Uncertainty in Engineering Computations27
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment27
Editorial Board26
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders24
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral24
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method23
Finite dimensional (FD) Slepian models for non-Gaussian processes23
Nonlinear random vibrations of micro-beams with fractional viscoelastic core22
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification21
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models21
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus21
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 excitations20
Improved conditional random field simulation method based on bootstrap- Bayesian inference and its application in identification of seafloor liquefaction20
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling20
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis19
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle19
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel18
Reliability-based seismic retrofitting design methodology for non-ductile reinforced concrete frame structures18
Stochastic averaging in parametric regions near separatrices of integrability18
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure18
Random set solutions to elliptic and hyperbolic partial differential equations18
Bayesian-based model updating using natural frequency data for historic masonry towers17
Koopman operator for time-dependent reliability analysis17
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration17
Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts17
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications16
Fragility analysis of curtain walls based on wind-borne debris considering wind environment16
Time-dependent kinematic reliability of motion mechanisms with dynamic factors16
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism16
Neumann enriched polynomial chaos approach for stochastic finite element problems16
Finite element limit analysis of undrained vertical bearing capacity of skirted foundations in anisotropic random cohesive soils15
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
Geometrical uncertainties influence on the failure load estimation of lattice structures15
A novel double-layer kriging model-based reliability analysis framework for time-dependent structural system with stochastic process15
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges15
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields14
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems14
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage14
A data-driven maximum entropy method for probability uncertainty analysis based on the B-spline theory14
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms14
Topology optimization of bridges under random traffic loading using stochastic reduced-order models14
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model14
Estimation of small failure probabilities using the Accelerated Weight Histogram method14
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation13
A probabilistic performance-based analysis approach for a vibrator-ground interaction system13
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model13
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response13
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind13
Response moments of parametrically excited linear oscillators based on the Wiener path integral13
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method13
Mellin transform for the probabilistic characterization of random variables and stochastic processes13
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials13
Offshore renewable energy site correlated wind-wave statistics13
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure12
Karhunen-Loève expansion based on an analytical solution over a bounding box domain12
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel12
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators12
A novel general method for simulating a one dimensional random field based on the active learning Kriging model12
Machine learning based digital twin for stochastic nonlinear multi-degree of freedom dynamical system12
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations12
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria11
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers11
Interval deep learning for computational mechanics problems under input uncertainty11
Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions11
Reference prior for Bayesian estimation of seismic fragility curves11
Informational probabilistic sensitivity analysis and active learning surrogate modelling11
Probabilistic characterization of the effect of transient stochastic loads on the fatigue-crack nucleation time11
B-splines chaos and Kalman Filters for solving a stochastic differential equation11
Robust design optimization by spline dimensional decomposition11
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
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises11
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries11
Small failure probability analysis of stochastic structures based on a new hybrid approach11
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD10
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation10
Editorial Board10
Reliability analysis of subsea control systems based on FFTA and Bayesian network10
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes10
A two stage Kriging approach for Bayesian optimal experimental design10
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method10
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule10
Reliability-based design optimization of key components in a gantry machining center10
Editorial Board10
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach10
Collocation method for stochastic delay differential equations10
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization10
Synthesizing dual-track road elevation data9
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system9
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations9
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems9
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states9
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports9
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed9
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters9
Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis9
A comparative analysis of intrusive and non-intrusive PCE methods for random mode computation9
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling9
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds9
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads9
Distribution-free P-box processes based on translation theory: Definition and simulation9
Comparison of PDEM and MCS: Accuracy and efficiency8
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves8
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks8
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model8
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties8
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China8
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database8
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters8
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields8
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise8
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network8
Dynamic reliability analysis for non-stationary non-Gaussian response based on the bivariate vector translation process8
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems7
Optimal load rating-based inspection planning of corroded steel girders using Markov decision process7
Reduced-order equivalent linearization based on explicit time-domain method for nonstationary random vibration analysis of nonlinear systems7
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions7
Wind speed monitoring using entropy theory and a copula-based approach7
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations7
Editorial Board7
Probability density evolution filter7
Asymptotic Bayesian Optimization: A Markov sampling-based framework for design optimization7
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model7
Performance analysis of an energy harvester with a nonlinear energy sink and time delay under narrow-band noise excitation7
A new active learning method for reliability analysis based on local optimization and adaptive parallelization strategy7
Stochastic design optimization of nonlinear structures under random seismic excitations using incremental dynamic analysis7
Evolutionary power spectrum estimation of multi-variate nonstationary stochastic processes based on interpolation enhanced energy reckoning-based method7
Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations7
Editorial Board7
Interval and fuzzy physics-informed neural networks for uncertain fields7
Imprecise subset simulation7
High-speed rolling bearing lubrication reliability analysis based on probability box model7
Data-driven modeling of high-speed maglev track irregularity7
The two-level probabilistic description of the compressive constitutive parameters of concrete7
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects7
Bayesian analysis for estimating statistical parameter distributions of elasto-viscoplastic material models7
Reliability-informed design table for optimizing tuned mass-damper-inerter systems to improve structural seismic performance7
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation7
Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure7
Solution of ordinary differential equation with random parameters using Kronecker product7
A probabilistic, empirical model for permeability of mudstone7
Influence of noise on First Passage Time maps and their use in damage detection7
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints7
Random response of a viscoelastic dielectric elastomer spherical balloon7
Harnessing physics-informed operators for high-dimensional reliability analysis problems7
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction7
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes7
Robust optimization of MTMD systems for the control of vibrations7
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems7
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method6
Efficient Runge–Kutta solver for stochastic crack growth analysis6
The exact element stiffness matrices of stochastically parametered beams6
Constraint interval model updating with Chebyshev inclusion functions6
Revisiting the estimation of extreme wind speed considering directionality6
An evolutive probability transformation method for the dynamic stochastic analysis of structures6
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods6
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis6
Joint spatial modeling of significant wave height and wave period using the SPDE approach6
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters6
Editorial Board6
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices6
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures6
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method6
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems6
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings6
System identification and reliability assessment of hyperelastic materials via an efficient sparsity-promoting variational Bayesian approach6
Random vibration analysis for train–track interaction from the aspect of uncertainty quantification6
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings6
Uncertainty and bias in fragility estimates by intensifying artificial accelerations6
Reliability analysis combining method of moments with control variates6
Static condensation based reduced order modelling of stochastically parametered large ordered systems6
Editorial Board6
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind6
Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model5
Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method5
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes5
MDOF stochastic stability analysis and applications to a coupled rotating shaft system5
Probabilistic analysis-based vibration characteristics of intentionally mistuned blisk5
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise5
Uncertainty analysis of structural output with closed-form expression based on surrogate model5
Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification5
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 moti5
A long short-term memory based deep learning algorithm for seismic response uncertainty quantification5
Interplay between nonlinear Fokker–Planck equation and stochastic differential equation5
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution5
A nested hierarchy of second order upper bounds on system failure probability5
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation5
A sequential metamodel-based importance sampling coupled with adaptive Kriging model method for efficiently estimating the global reliability sensitivity indices5
Probabilistic solution of a homogeneous linear second-order differential equation with randomized complex coefficients5
Recent advances in uncertainty quantification in structural response characterization and system identification5
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems5
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments5
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review5
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment5
Editorial Board4
Probabilistic method for wind speed prediction and statistics distribution inference based on SHM data-driven4
Reliability analysis of wind turbine subassemblies based on the 3-P Weibull model via an ergodic artificial bee colony algorithm4
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis4
Gaussian cross-entropy and organizing intelligence for design optimization of the outrigger system with inclined belt truss in real-size tall buildings4
Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function4
The influence of slope geometric parameters on the reliability of slope reinforced by micro-piles in spatially variable soils4
Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo4
Reliability assessment of civil structures with incomplete probability distribution information4
Survival probability of structures under fatigue: A data-based approach4
Random vibrations of a structure modified by damped absorbers4
Editorial Board4
Research on control parameters of high-speed maglev train under stochastic track irregularities4
An extended two-scale random field model for stochastic response analysis and its application to RC Short-leg shear wall structure4
Statistical model calibration of correlated unknown model variables through identifiability improvement4
Partial safety factor calibration using surrogate models: An application for running safety of ballasted high-speed railway bridges4
Reliability evaluation of folding wing mechanism deployment performance based on improved active learning Kriging method4
Stochastic dispersion behavior and optimal design of locally resonant metamaterial nanobeams using nonlocal strain gradient theory4
Optimal design of cubic nonlinear energy harvester device for random vibrations4
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm4
Dynamic stability simulation of micro-milling under the condition of multi-parameter uncertainty4
Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model4
Two-phase optimized experimental design for fatigue limit testing4
Application of the Tail Equivalent Linearization Method to wave bending moment and comparison with experimental data4
Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy4
A Kriging-based adaptive adding point strategy for structural reliability analysis4
Stochastic dynamical systems developed on Riemannian manifolds4
On the numerical solution of fractional differential equations under white noise processes4
Data-driven reliability assessment with scarce samples considering multidimensional dependence4
Application of particle filter variants to estimate the remaining useful life4
A practical approach for sampling the Longuet–Higgins distribution for engineering applications4
Moment Lyapunov exponents and stochastic stability of non-linear systems under white-noise excitation4
Probabilistic machine learning approach for structural reliability analysis4
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields4
A layer assigned probability space partition method for structural small failure probability problem4
Confidence-based design optimization using multivariate kernel density estimation under insufficient input data4
Enhanced universal kriging for transformed input parameter spaces4
Effect of uncertain damping coefficient on the response of a SDOF system4
Extreme riser experimental loads caused by sea currents in the Gulf of Eilat4
Dimensional reduction technique-based maximum entropy principle method for safety degree analysis under twofold random uncertainty4
Special collection on data-centric foundation engineering using statistics3
Model calibration: A hierarchical Bayesian approach3
Finite dimensional models for wind diffusion process3
Probabilistic data-driven framework for performance assessment of retaining walls against rockfalls3
Editorial Board3
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