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 2021-11-01 to 2025-11-01.)
ArticleCitations
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty122
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty87
On the parametric assessment of fatigue disparities52
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime48
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction43
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment42
Reliability analysis method for multiple failure modes with overlapping failure domains41
Analytical response and Markovianity of systems governed by fractional differential equations driven by 39
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise37
Eigenvalue analysis of stochastic structural systems: A quantum computing approach29
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders28
Editorial Board28
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification26
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus25
Finite dimensional (FD) Slepian models for non-Gaussian processes24
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models24
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables23
Special Issue: Risk and Uncertainty in Engineering Computations23
Nonlinear random vibrations of micro-beams with fractional viscoelastic core23
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral22
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method22
Improved conditional random field simulation method based on bootstrap- Bayesian inference and its application in identification of seafloor liquefaction22
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis21
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure21
Multidisciplinary uncertainty propagation method considering correlated field variables for rocket systems21
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations19
Random set solutions to elliptic and hyperbolic partial differential equations19
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle19
Koopman operator for time-dependent reliability analysis18
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel18
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications18
Reliability-based seismic retrofitting design methodology for non-ductile reinforced concrete frame structures17
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
Fragility analysis of curtain walls based on wind-borne debris considering wind environment17
Bayesian-based model updating using natural frequency data for historic masonry towers16
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling16
Time-dependent kinematic reliability of motion mechanisms with dynamic factors16
A sequential stratified importance sampling method for extremely small time-dependent failure probability with high-dimensional input vector16
A novel double-layer kriging model-based reliability analysis framework for time-dependent structural system with stochastic process15
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method15
Estimation of small failure probabilities using the Accelerated Weight Histogram method15
Finite element limit analysis of undrained vertical bearing capacity of skirted foundations in anisotropic random cohesive soils15
Geometrical uncertainties influence on the failure load estimation of lattice structures15
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
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model14
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
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields14
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
Response moments of parametrically excited linear oscillators based on the Wiener path integral13
Karhunen-Loève expansion based on an analytical solution over a bounding box domain13
Topology optimization of bridges under random traffic loading using stochastic reduced-order models13
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model13
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations13
Mellin transform for the probabilistic characterization of random variables and stochastic processes13
Offshore renewable energy site correlated wind-wave statistics13
A probabilistic performance-based analysis approach for a vibrator-ground interaction system13
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation13
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials13
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges13
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure12
Reference prior for Bayesian estimation of seismic fragility curves12
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response12
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers12
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
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel12
A novel general method for simulating a one dimensional random field based on the active learning Kriging model11
B-splines chaos and Kalman Filters for solving a stochastic differential equation11
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach11
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
Interval deep learning for computational mechanics problems under input uncertainty11
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes11
Research on Adaptive Probabilistic Regularization (APR) method for damage parameter identification of laminated structures11
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria11
Informational probabilistic sensitivity analysis and active learning surrogate modelling11
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
Stochastic dynamics in power systems excited by discrete-continuous random disturbances10
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule10
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD10
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization10
Reliability analysis of subsea control systems based on FFTA and Bayesian network10
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling10
Robust design optimization by spline dimensional decomposition10
Editorial Board10
Reliability-based design optimization of key components in a gantry machining center10
Collocation method for stochastic delay differential equations10
Small failure probability analysis of stochastic structures based on a new hybrid approach10
Editorial Board10
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation9
Uncertainty quantification of neural network models of evolving processes via Langevin sampling9
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations9
A comparative analysis of intrusive and non-intrusive PCE methods for random mode computation9
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method9
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system9
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads9
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports9
A two stage Kriging approach for Bayesian optimal experimental design9
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed9
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties9
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields8
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model8
Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis8
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states8
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds8
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database8
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China8
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise8
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters8
Comparison of PDEM and MCS: Accuracy and efficiency8
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks8
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network8
Imprecise subset simulation8
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves8
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems8
Distribution-free P-box processes based on translation theory: Definition and simulation8
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters8
Editorial Board7
Influence of noise on First Passage Time maps and their use in damage detection7
Probability density evolution filter7
Robust optimization of MTMD systems for the control of vibrations7
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects7
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
A probabilistic, empirical model for permeability of mudstone7
Harnessing physics-informed operators for high-dimensional reliability analysis problems7
Interval and fuzzy physics-informed neural networks for uncertain fields7
Wind speed monitoring using entropy theory and a copula-based approach7
Solution of ordinary differential equation with random parameters using Kronecker product7
Asymptotic Bayesian Optimization: A Markov sampling-based framework for design optimization7
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model7
Uncertainty and bias in fragility estimates by intensifying artificial accelerations7
Editorial Board7
Reliability-informed design table for optimizing tuned mass-damper-inerter systems to improve structural seismic performance7
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints7
Evolutionary power spectrum estimation of multi-variate nonstationary stochastic processes based on interpolation enhanced energy reckoning-based method7
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations7
Data-driven modeling of high-speed maglev track irregularity7
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions7
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems7
A new active learning method for reliability analysis based on local optimization and adaptive parallelization strategy7
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation7
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction7
Reduced-order equivalent linearization based on explicit time-domain method for nonstationary random vibration analysis of nonlinear systems7
High-speed rolling bearing lubrication reliability analysis based on probability box model7
The two-level probabilistic description of the compressive constitutive parameters of concrete7
Revisiting the estimation of extreme wind speed considering directionality6
The memory-dependent FPK equation for fractional Gaussian noise6
Constraint interval model updating with Chebyshev inclusion functions6
A probabilistic evaluation of fatigue crack growth in plain concrete using inverse reliability approach6
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices6
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis6
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters6
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems6
Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations6
An evolutive probability transformation method for the dynamic stochastic analysis of structures6
Efficient Runge–Kutta solver for stochastic crack growth analysis6
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind6
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures6
Reliability analysis combining method of moments with control variates6
The exact element stiffness matrices of stochastically parametered beams6
Performance analysis of an energy harvester with a nonlinear energy sink and time delay under narrow-band noise excitation6
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes6
System identification and reliability assessment of hyperelastic materials via an efficient sparsity-promoting variational Bayesian approach6
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings6
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings6
Joint spatial modeling of significant wave height and wave period using the SPDE approach6
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method6
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems5
Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model5
MDOF stochastic stability analysis and applications to a coupled rotating shaft system5
Editorial Board5
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
Probabilistic solution of a homogeneous linear second-order differential equation with randomized complex coefficients5
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation5
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes5
Probabilistic analysis-based vibration characteristics of intentionally mistuned blisk5
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise5
A nested hierarchy of second order upper bounds on system failure probability5
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments5
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method5
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review5
Multi-objective design optimization of structural systems based on probabilistic life-cycle criteria through a sequential decision process5
Uncertainty analysis of structural output with closed-form expression based on surrogate model5
Interplay between nonlinear Fokker–Planck equation and stochastic differential equation5
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems5
A sequential metamodel-based importance sampling coupled with adaptive Kriging model method for efficiently estimating the global reliability sensitivity indices5
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution5
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods5
Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method5
Confidence-based design optimization using multivariate kernel density estimation under insufficient input data5
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment5
Recent advances in uncertainty quantification in structural response characterization and system identification5
Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification5
A long short-term memory based deep learning algorithm for seismic response uncertainty quantification5
Editorial Board4
Application of particle filter variants to estimate the remaining useful life4
Effect of uncertain damping coefficient on the response of a SDOF system4
Reliability assessment of civil structures with incomplete probability distribution information4
Statistical model calibration of correlated unknown model variables through identifiability improvement4
Reliability analysis of wind turbine subassemblies based on the 3-P Weibull model via an ergodic artificial bee colony algorithm4
Reliability evaluation of folding wing mechanism deployment performance based on improved active learning Kriging method4
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
Dimensional reduction technique-based maximum entropy principle method for safety degree analysis under twofold random uncertainty4
Stochastic dispersion behavior and optimal design of locally resonant metamaterial nanobeams using nonlocal strain gradient theory4
Enhanced universal kriging for transformed input parameter spaces4
Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model4
Two-phase optimized experimental design for fatigue limit testing4
Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy4
Research on control parameters of high-speed maglev train under stochastic track irregularities4
Advances in dimension-reduction methods for simulating univariate and multivariate non-stationary stochastic processes via spectral representation4
Probabilistic machine learning approach for structural reliability analysis4
Dynamic stability simulation of micro-milling under the condition of multi-parameter uncertainty4
A Kriging-based adaptive adding point strategy for structural reliability analysis4
Gaussian cross-entropy and organizing intelligence for design optimization of the outrigger system with inclined belt truss in real-size tall buildings4
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm4
Probabilistic method for wind speed prediction and statistics distribution inference based on SHM data-driven4
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis4
Extreme riser experimental loads caused by sea currents in the Gulf of Eilat4
Application of the Tail Equivalent Linearization Method to wave bending moment and comparison with experimental data4
Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo4
Survival probability of structures under fatigue: A data-based approach4
The influence of slope geometric parameters on the reliability of slope reinforced by micro-piles in spatially variable soils4
Editorial Board4
Partial safety factor calibration using surrogate models: An application for running safety of ballasted high-speed railway bridges4
Data-driven reliability assessment with scarce samples considering multidimensional dependence4
Optimal design of cubic nonlinear energy harvester device for random vibrations4
A layer assigned probability space partition method for structural small failure probability problem4
Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function4
On the numerical solution of fractional differential equations under white noise processes4
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields4
An improved AK-IS based on the adaptive radial-based importance sampling for reliability analysis3
Finite dimensional models for wind diffusion process3
Model calibration: A hierarchical Bayesian approach3
Response of Gaussian white noise excited oscillators with inertia nonlinearity based on the RBFNN method3
Gaussian processes-based Bayesian updating framework for time-dependent reliability assessment of aging bridges with limited inspection data3
Nonstationary response statistics of structures with hysteretic damping to evolutionary stochastic excitation3
Bayesian model updating of eight-storey CLT building using modal data3
Probability distribution estimation for harmonisable loads and responses of linear elastic structures3
Laplace and Mellin transform for reconstructing the probability distribution by a limited amount of information3
Reliability modeling of pre-stressed composite structures subject to interlayer slip failure under multi-axial random impact and vibration loads3
Editorial Board3
Probabilistic slope stability analysis: A novel distribution for soils exhibiting highly variable spatial properties3
Using computer techniques for vibration damage estimation under stochastic loading using the Monte Carlo Method for aerospace applications3
Translation models and extremes3
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