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 2022-01-01 to 2026-01-01.)
ArticleCitations
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty143
Reliability analysis method for multiple failure modes with overlapping failure domains91
Analytical response and Markovianity of systems governed by fractional differential equations driven by 56
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty50
On the parametric assessment of fatigue disparities47
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction44
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment42
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise40
A novel Bayesian method for simultaneous identification of structural mass and stiffness parameters39
Practical enhancement of failure-probability estimation using probability density-driven active learning32
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime29
Eigenvalue analysis of stochastic structural systems: A quantum computing approach28
Editorial Board27
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus26
Finite dimensional (FD) Slepian models for non-Gaussian processes25
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models25
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral25
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method25
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders24
Improved conditional random field simulation method based on bootstrap- Bayesian inference and its application in identification of seafloor liquefaction24
Special Issue: Risk and Uncertainty in Engineering Computations24
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification23
Nonlinear random vibrations of micro-beams with fractional viscoelastic core23
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables23
Multidisciplinary uncertainty propagation method considering correlated field variables for rocket systems23
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis22
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure22
Random set solutions to elliptic and hyperbolic partial differential equations21
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations20
Reliability-based seismic retrofitting design methodology for non-ductile reinforced concrete frame structures19
Bayesian-based model updating using natural frequency data for historic masonry towers19
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration19
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle18
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism18
A sequential stratified importance sampling method for extremely small time-dependent failure probability with high-dimensional input vector18
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications18
Fragility analysis of curtain walls based on wind-borne debris considering wind environment18
Geometrical uncertainties influence on the failure load estimation of lattice structures17
Koopman operator for time-dependent reliability analysis17
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling17
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel17
Estimation of small failure probabilities using the Accelerated Weight Histogram method17
Time-dependent kinematic reliability of motion mechanisms with dynamic factors17
Corrigendum to “Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method” [Probabilistic Engineering Mechanics 72 (2023) 103448]16
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage16
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields16
Neural network-based probabilistic tracking control for levitation systems under stochastic track irregularities15
Topology optimization of bridges under random traffic loading using stochastic reduced-order models15
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges15
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method14
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
Finite element limit analysis of undrained vertical bearing capacity of skirted foundations in anisotropic random cohesive soils14
Data-driven identification of time-delayed hybrid energy harvesting system under non-Gaussian noise14
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model14
Hybrid-Surrogate-Based Prediction and Reliability-Based Optimization of Curling Strength for Bistable Cylindrical Shells14
Offshore renewable energy site correlated wind-wave statistics14
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model14
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems14
A probabilistic performance-based analysis approach for a vibrator-ground interaction system13
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators13
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind13
A novel double-layer kriging model-based reliability analysis framework for time-dependent structural system with stochastic process13
Karhunen-Loève expansion based on an analytical solution over a bounding box domain13
Mellin transform for the probabilistic characterization of random variables and stochastic processes13
Response moments of parametrically excited linear oscillators based on the Wiener path integral13
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations13
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response13
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials12
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel12
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure12
Informational probabilistic sensitivity analysis and active learning surrogate modelling12
An adaptive subinterval univariate dimension reduction method for uncertain problems with large interval parameters12
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation12
Reference prior for Bayesian estimation of seismic fragility curves12
First-passage analysis of nonlinear oscillators by leveraging information in the Wiener path integral most probable path12
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems12
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers11
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises11
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach11
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
Small failure probability analysis of stochastic structures based on a new hybrid approach11
A novel general method for simulating a one dimensional random field based on the active learning Kriging model11
Editorial Board11
B-splines chaos and Kalman Filters for solving a stochastic differential equation11
Reliability-based design optimization of key components in a gantry machining center11
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria11
Interval deep learning for computational mechanics problems under input uncertainty11
A novel hybrid time-variant reliability analysis method through approximating bound-most-probable point trajectory11
Robust design optimization by spline dimensional decomposition11
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD11
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries11
Collocation method for stochastic delay differential equations10
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization10
A two stage Kriging approach for Bayesian optimal experimental design10
Uncertainty quantification of neural network models of evolving processes via Langevin sampling10
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method10
Editorial Board10
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation10
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports10
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise9
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling9
Reliability analysis of subsea control systems based on FFTA and Bayesian network9
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties9
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed9
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds9
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems9
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields9
Imprecise subset simulation9
Stochastic dynamics in power systems excited by discrete-continuous random disturbances9
Plug-in adaptive sampling for structural reliability: Key region Voronoi partitioning with cross-validated failure probability9
Distribution-free P-box processes based on translation theory: Definition and simulation9
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system9
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
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China9
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads9
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule9
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations9
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states9
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters9
Comparison of PDEM and MCS: Accuracy and efficiency9
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves9
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters8
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database8
Editorial Board8
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks8
Interval and fuzzy physics-informed neural networks for uncertain fields8
Wind speed monitoring using entropy theory and a copula-based approach8
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model8
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network8
The two-level probabilistic description of the compressive constitutive parameters of concrete8
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model7
Stochastic design optimization of nonlinear structures under random seismic excitations using incremental dynamic analysis7
Reduced-order equivalent linearization based on explicit time-domain method for nonstationary random vibration analysis of nonlinear systems7
Harnessing physics-informed operators for high-dimensional reliability analysis problems7
A probabilistic, empirical model for permeability of mudstone7
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 new active learning method for reliability analysis based on local optimization and adaptive parallelization strategy7
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems7
Performance analysis of an energy harvester with a nonlinear energy sink and time delay under narrow-band noise excitation7
Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations7
The memory-dependent FPK equation for fractional Gaussian noise7
Asymptotic Bayesian Optimization: A Markov sampling-based framework for design optimization7
Editorial Board7
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
High-speed rolling bearing lubrication reliability analysis based on probability box model7
Uncertainty and bias in fragility estimates by intensifying artificial accelerations7
Reliability-informed design table for optimizing tuned mass-damper-inerter systems to improve structural seismic performance7
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects7
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes7
Revisiting the estimation of extreme wind speed considering directionality7
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction7
Probability density evolution filter7
Solution of ordinary differential equation with random parameters using Kronecker product7
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations7
Influence of noise on First Passage Time maps and their use in damage detection7
Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure7
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation7
Robust optimization of MTMD systems for the control of vibrations7
Nonstationary translation processes7
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems7
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters6
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures6
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
Momentum gradient based first order reliability method for efficient identification of the most probable failure point6
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution6
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices6
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method6
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings6
A nested hierarchy of second order upper bounds on system failure probability6
Interplay between nonlinear Fokker–Planck equation and stochastic differential equation6
Constraint interval model updating with Chebyshev inclusion functions6
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis6
Bayesian updating method considering the uncertainty of distribution parameters of random model inputs6
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems6
A probabilistic evaluation of fatigue crack growth in plain concrete using inverse reliability approach6
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems6
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings6
Reliability analysis combining method of moments with control variates6
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind6
Efficient Runge–Kutta solver for stochastic crack growth analysis6
System identification and reliability assessment of hyperelastic materials via an efficient sparsity-promoting variational Bayesian approach6
Probabilistic analysis-based vibration characteristics of intentionally mistuned blisk6
An evolutive probability transformation method for the dynamic stochastic analysis of structures6
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments6
The exact element stiffness matrices of stochastically parametered beams6
Editorial Board6
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
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods5
The Enhanced Analytical Spectral Moments method for probabilistic characterization of large DOF systems under seismic actions5
Application of the Tail Equivalent Linearization Method to wave bending moment and comparison with experimental data5
Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model5
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise5
Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification5
Multi-objective design optimization of structural systems based on probabilistic life-cycle criteria through a sequential decision process5
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review5
Online POD–Kriging surrogate for efficient uncertainty quantification of dynamical systems5
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation5
Confidence-based design optimization using multivariate kernel density estimation under insufficient input data5
Editorial Board5
Survival probability of structures under fatigue: A data-based approach5
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
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment5
MDOF stochastic stability analysis and applications to a coupled rotating shaft system5
Recent advances in uncertainty quantification in structural response characterization and system identification5
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes5
Uncertainty analysis of structural output with closed-form expression based on surrogate model5
Two-phase optimized experimental design for fatigue limit testing5
Application of particle filter variants to estimate the remaining useful life5
Probabilistic solution of a homogeneous linear second-order differential equation with randomized complex coefficients5
A sequential metamodel-based importance sampling coupled with adaptive Kriging model method for efficiently estimating the global reliability sensitivity indices5
Enhanced universal kriging for transformed input parameter spaces4
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields4
Moment Lyapunov exponents and stochastic stability of non-linear systems under white-noise excitation4
A practical approach for sampling the Longuet–Higgins distribution for engineering applications4
Reliability assessment of civil structures with incomplete probability distribution information4
Scale-dependent <4
Stochastic dynamical systems developed on Riemannian manifolds4
A Kriging-based adaptive adding point strategy for structural reliability analysis4
Dynamic stability simulation of micro-milling under the condition of multi-parameter uncertainty4
Partial safety factor calibration using surrogate models: An application for running safety of ballasted high-speed railway bridges4
Research on control parameters of high-speed maglev train under stochastic track irregularities4
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis4
Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy4
On the numerical solution of fractional differential equations under white noise processes4
Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function4
Reliability analysis of wind turbine subassemblies based on the 3-P Weibull model via an ergodic artificial bee colony algorithm4
Stochastic analysis model for metro vehicle-floating slab track coupled system considering shear hinges4
Maximum likelihood estimation of probabilistically described loads in beam structures4
Advances in dimension-reduction methods for simulating univariate and multivariate non-stationary stochastic processes via spectral representation4
Gaussian cross-entropy and organizing intelligence for design optimization of the outrigger system with inclined belt truss in real-size tall buildings4
Probabilistic method for wind speed prediction and statistics distribution inference based on SHM data-driven4
Effect of uncertain damping coefficient on the response of a SDOF system4
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm4
Stochastic dispersion behavior and optimal design of locally resonant metamaterial nanobeams using nonlocal strain gradient theory4
Extreme riser experimental loads caused by sea currents in the Gulf of Eilat4
Optimal design of cubic nonlinear energy harvester device for random vibrations4
An extended two-scale random field model for stochastic response analysis and its application to RC Short-leg shear wall structure4
Improved pseudo-force approach for Monte Carlo Simulation of non-linear fractional oscillators under stochastic excitation4
Editorial Board4
The influence of slope geometric parameters on the reliability of slope reinforced by micro-piles in spatially variable soils4
Probabilistic machine learning approach for structural reliability analysis4
Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo4
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