Probabilistic Engineering Mechanics

Papers
(The median citation count of Probabilistic Engineering Mechanics is 4. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
Eigenvalue analysis of stochastic structural systems: A quantum computing approach178
Reliability analysis method for multiple failure modes with overlapping failure domains61
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction56
Analytical response and Markovianity of systems governed by fractional differential equations driven by 48
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise46
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty46
On the parametric assessment of fatigue disparities41
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime40
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty31
A novel Bayesian method for simultaneous identification of structural mass and stiffness parameters31
Practical enhancement of failure-probability estimation using probability density-driven active learning30
Improved conditional random field simulation method based on bootstrap- Bayesian inference and its application in identification of seafloor liquefaction29
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models29
Editorial Board29
Finite dimensional (FD) Slepian models for non-Gaussian processes27
Special Issue: Risk and Uncertainty in Engineering Computations26
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral26
Nonlinear random vibrations of micro-beams with fractional viscoelastic core25
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders24
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification23
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method22
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus22
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables22
Multidisciplinary uncertainty propagation method considering correlated field variables for rocket systems22
Random set solutions to elliptic and hyperbolic partial differential equations21
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis21
Koopman operator for time-dependent reliability analysis20
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle20
Bayesian-based model updating using natural frequency data for historic masonry towers20
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure20
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling20
A sequential stratified importance sampling method for extremely small time-dependent failure probability with high-dimensional input vector19
Fragility analysis of curtain walls based on wind-borne debris considering wind environment19
Local reliability sensitivity analysis with directional sampling framework in complex failure domain19
Time-dependent kinematic reliability of motion mechanisms with dynamic factors19
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel19
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations19
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration18
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism18
Reliability-based seismic retrofitting design methodology for non-ductile reinforced concrete frame structures18
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications17
Seismic Fragility of Pile Groups with Batter Piles in Slope: A Three-Dimensional Finite Element Investigation17
Estimation of small failure probabilities using the Accelerated Weight Histogram method17
Neural network-based probabilistic tracking control for levitation systems under stochastic track irregularities16
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method16
Finite element limit analysis of undrained vertical bearing capacity of skirted foundations in anisotropic random cohesive soils16
Data-driven identification of time-delayed hybrid energy harvesting system under non-Gaussian noise15
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms15
A novel double-layer kriging model-based reliability analysis framework for time-dependent structural system with stochastic process15
A data-driven maximum entropy method for probability uncertainty analysis based on the B-spline theory15
Topology optimization of bridges under random traffic loading using stochastic reduced-order models15
Hybrid-surrogate-based prediction and reliability-based optimization of curling strength for bistable cylindrical shells15
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model15
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 fields15
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage15
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model15
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
Response moments of parametrically excited linear oscillators based on the Wiener path integral14
A probabilistic performance-based analysis approach for a vibrator-ground interaction system14
Mellin transform for the probabilistic characterization of random variables and stochastic processes14
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems14
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations14
Geometrical uncertainties influence on the failure load estimation of lattice structures14
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators14
Karhunen-Loève expansion based on an analytical solution over a bounding box domain13
An efficient algorithm for global searching of representative points in reliability evaluation with adaptive Kriging model and direct probability integral method13
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers13
A novel general method for simulating a one dimensional random field based on the active learning Kriging model13
Higher-order analysis for random vibration of stochastic structures under multi-point stationary Gaussian excitations13
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials13
First-passage analysis of nonlinear oscillators by leveraging information in the Wiener path integral most probable path13
A novel hybrid time-variant reliability analysis method through approximating bound-most-probable point trajectory13
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria13
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel13
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation13
An adaptive subinterval univariate dimension reduction method for uncertain problems with large interval parameters13
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind13
Informational probabilistic sensitivity analysis and active learning surrogate modelling13
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response13
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure13
Reference prior for Bayesian estimation of seismic fragility curves12
Small failure probability analysis of stochastic structures based on a new hybrid approach12
Interval deep learning for computational mechanics problems under input uncertainty12
Editorial Board12
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach12
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD12
B-splines chaos and Kalman Filters for solving a stochastic differential equation12
A pragmatic two-stage design optimization framework for seismic RC structures under uncertainties incorporating two-level reliability constraints12
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes12
Editorial Board12
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems12
Reliability-based design optimization of key components in a gantry machining center12
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries12
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises12
Research on Adaptive Probabilistic Regularization (APR) method for damage parameter identification of laminated structures12
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization11
Collocation method for stochastic delay differential equations11
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation11
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method11
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports11
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule11
Plug-in adaptive sampling for structural reliability: Key region Voronoi partitioning with cross-validated failure probability11
Reliability analysis of subsea control systems based on FFTA and Bayesian network11
Uncertainty quantification of neural network models of evolving processes via Langevin sampling11
A two stage Kriging approach for Bayesian optimal experimental design10
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system10
Description of the linear elastic material parameters of short fiber composites using random fields. A comparison of Gaussian and non-Gaussian random fields10
Stochastic dynamics in power systems excited by discrete-continuous random disturbances10
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed10
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states10
A comparative analysis of intrusive and non-intrusive PCE methods for random mode computation10
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling10
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds10
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters10
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems10
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties9
Distribution-free P-box processes based on translation theory: Definition and simulation9
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters9
Seismic fragility analysis of deep sliding stability in gravity dams via vector-valued intensity measures9
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China9
A new MFk-discrepancy for improving point selection in high-dimensional stochastic system analysis involving uncertain parameters9
Comparison of PDEM and MCS: Accuracy and efficiency9
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields9
Imprecise subset simulation9
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks9
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads9
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations9
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise9
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network9
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database9
Stochastic design optimization of nonlinear structures under random seismic excitations using incremental dynamic analysis8
Reduced-order equivalent linearization based on explicit time-domain method for nonstationary random vibration analysis of nonlinear systems8
Evolutionary power spectrum estimation of multi-variate nonstationary stochastic processes based on interpolation enhanced energy reckoning-based method8
Influence of noise on First Passage Time maps and their use in damage detection8
A probabilistic, empirical model for permeability of mudstone8
Data-driven dimensionally decomposed generalized polynomial chaos expansion for forward uncertainty quantification8
Probability density evolution filter8
A multi-directional extreme wind speeds model based on multi-site temporal correlations8
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems8
Editorial Board8
High-speed rolling bearing lubrication reliability analysis based on probability box model8
The two-level probabilistic description of the compressive constitutive parameters of concrete8
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model8
Wind speed monitoring using entropy theory and a copula-based approach8
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions8
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems8
Consideration of time-frequency non-stationary irregularity excitation induced by variable vehicle speed in random vibration analysis of train-bridge system8
Data-driven modeling of high-speed maglev track irregularity8
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction8
Harnessing physics-informed operators for high-dimensional reliability analysis problems8
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints8
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations8
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves8
Robust optimization of MTMD systems for the control of vibrations8
Solution of ordinary differential equation with random parameters using Kronecker product8
Step-stress likelihood inference for the modified Lindley distribution8
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes7
Reliability analysis combining method of moments with control variates7
An evolutive probability transformation method for the dynamic stochastic analysis of structures7
A probabilistic evaluation of fatigue crack growth in plain concrete using inverse reliability approach7
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model7
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
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings7
The memory-dependent FPK equation for fractional Gaussian noise7
Constraint interval model updating with Chebyshev inclusion functions7
System identification and reliability assessment of hyperelastic materials via an efficient sparsity-promoting variational Bayesian approach7
Revisiting the estimation of extreme wind speed considering directionality7
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation7
Nonstationary translation processes7
The exact element stiffness matrices of stochastically parametered beams7
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures7
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method7
Uncertainty and bias in fragility estimates by intensifying artificial accelerations7
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
Online POD–Kriging surrogate for efficient uncertainty quantification of dynamical systems6
Stochastic response and stability of a hybrid energy harvester with Coulomb friction6
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters6
Momentum gradient based first order reliability method for efficient identification of the most probable failure point6
Efficient Runge–Kutta solver for stochastic crack growth analysis6
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems6
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review6
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods6
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes6
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices6
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings6
Editorial Board6
A nested hierarchy of second order upper bounds on system failure probability6
Recent advances in uncertainty quantification in structural response characterization and system identification6
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments6
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method6
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind6
Bayesian updating method considering the uncertainty of distribution parameters of random model inputs6
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis6
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution6
MDOF stochastic stability analysis and applications to a coupled rotating shaft system6
Probabilistic machine learning approach for structural reliability analysis5
Optimal design of cubic nonlinear energy harvester device for random vibrations5
Reliability analysis of wind turbine subassemblies based on the 3-P Weibull model via an ergodic artificial bee colony algorithm5
On the numerical solution of fractional differential equations under white noise processes5
Research on control parameters of high-speed maglev train under stochastic track irregularities5
Enhanced universal kriging for transformed input parameter spaces5
Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy5
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise5
Confidence-based design optimization using multivariate kernel density estimation under insufficient input data5
Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model5
Uncertainty analysis of structural output with closed-form expression based on surrogate model5
Two-phase optimized experimental design for fatigue limit testing5
Dynamic stability simulation of micro-milling under the condition of multi-parameter uncertainty5
Scale-dependent <5
Gaussian cross-entropy and organizing intelligence for design optimization of the outrigger system with inclined belt truss in real-size tall buildings5
Moment Lyapunov exponents and stochastic stability of non-linear systems under white-noise excitation5
Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo5
Editorial Board5
Survival probability of structures under fatigue: A data-based approach5
Application of particle filter variants to estimate the remaining useful life5
A sequential metamodel-based importance sampling coupled with adaptive Kriging model method for efficiently estimating the global reliability sensitivity indices5
Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method5
Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification5
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems5
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm5
Reliability assessment of civil structures with incomplete probability distribution information5
Dimensional reduction technique-based maximum entropy principle method for safety degree analysis under twofold random uncertainty5
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields5
The Enhanced Analytical Spectral Moments method for probabilistic characterization of large DOF systems under seismic actions5
Spatial variation of parallel to grain tensile strength in sawn lumber5
Dimension-reduction simulation of near-fault pulse-like stochastic ground motion processes5
Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function5
Stochastic dispersion behavior and optimal design of locally resonant metamaterial nanobeams using nonlocal strain gradient theory5
Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model5
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
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation5
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment5
Multi-objective design optimization of structural systems based on probabilistic life-cycle criteria through a sequential decision process5
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis5
Probabilistic stability analyses of active shallow trapdoor in spatially random sand4
Advances in dimension-reduction methods for simulating univariate and multivariate non-stationary stochastic processes via spectral representation4
Random vibrations of two phase shear deformable pieozoelectric nanobeams based on Gaussian local/nonlocal integral model4
Reliability evaluation of folding wing mechanism deployment performance based on improved active learning Kriging method4
Response of Gaussian white noise excited oscillators with inertia nonlinearity based on the RBFNN method4
Probability density function of whole-body vibration in passenger car4
Self-similarity and response of fractional differential equations under white noise input4
Probabilistic slope stability analysis: A novel distribution for soils exhibiting highly variable spatial properties4
A database of installation monitoring and uplift load tests of round-shaft helical anchors in Brazil4
Model calibration: A hierarchical Bayesian approach4
A perspective on conditional spectrum-based determination of response statistics of nonlinear systems4
Stochastic analysis model for metro vehicle-floating slab track coupled system considering shear hinges4
An extended two-scale random field model for stochastic response analysis and its application to RC Short-leg shear wall structure4
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