Probabilistic Engineering Mechanics

Papers
(The TQCC of Probabilistic Engineering Mechanics is 7. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-09-01 to 2025-09-01.)
ArticleCitations
Generation of realistic 3D concrete aggregate microstructures using multiscale multifractal evolutionary stochastic manifold and operator-split-genetic algorithm103
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment84
Analytical response and Markovianity of systems governed by fractional differential equations driven by 49
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty46
Reliability analysis method for multiple failure modes with overlapping failure domains40
On the parametric assessment of fatigue disparities40
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction38
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime37
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty37
Eigenvalue analysis of stochastic structural systems: A quantum computing approach28
Special Issue: Risk and Uncertainty in Engineering Computations26
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise26
Editorial Board25
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification23
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral23
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders22
Finite dimensional (FD) Slepian models for non-Gaussian processes22
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus21
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method21
Nonlinear random vibrations of micro-beams with fractional viscoelastic core20
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure20
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables20
Stochastic averaging in parametric regions near separatrices of integrability20
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models20
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations19
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling18
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications18
Fragility analysis of curtain walls based on wind-borne debris considering wind environment18
Time-dependent kinematic reliability of motion mechanisms with dynamic factors18
Koopman operator for time-dependent reliability analysis17
Random set solutions to elliptic and hyperbolic partial differential equations17
Neumann enriched polynomial chaos approach for stochastic finite element problems17
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis17
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle17
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel16
Bayesian-based model updating using natural frequency data for historic masonry towers16
Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts16
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration16
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields15
Reliability-based seismic retrofitting design methodology for non-ductile reinforced concrete frame structures15
Corrigendum to “Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method” [Probabilistic Engineering Mechanics 72 (2023) 103448]15
Estimation of small failure probabilities using the Accelerated Weight Histogram method15
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism15
A data-driven maximum entropy method for probability uncertainty analysis based on the B-spline theory14
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage14
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms14
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model14
A novel double-layer kriging model-based reliability analysis framework for time-dependent structural system with stochastic process14
Response moments of parametrically excited linear oscillators based on the Wiener path integral13
Topology optimization of bridges under random traffic loading using stochastic reduced-order models13
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges13
Finite Element Limit Analysis of Undrained Vertical Bearing Capacity of Skirted Foundations in Anisotropic Random Cohesive Soils13
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method13
Geometrical uncertainties influence on the failure load estimation of lattice structures13
Offshore renewable energy site correlated wind-wave statistics13
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems13
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model13
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials12
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations12
Machine learning based digital twin for stochastic nonlinear multi-degree of freedom dynamical system12
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response12
Mellin transform for the probabilistic characterization of random variables and stochastic processes12
A probabilistic performance-based analysis approach for a vibrator-ground interaction system12
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure12
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators12
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind12
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel11
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems11
A novel hybrid time-variant reliability analysis method through approximating bound-most-probable point trajectory11
Probabilistic characterization of the effect of transient stochastic loads on the fatigue-crack nucleation time11
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation11
A novel general method for simulating a one dimensional random field based on the active learning Kriging model11
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers11
Reliability-based design optimization of key components in a gantry machining center11
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria11
Karhunen-Loève expansion based on an analytical solution over a bounding box domain11
Reference prior for Bayesian estimation of seismic fragility curves11
Informational probabilistic sensitivity analysis and active learning surrogate modelling11
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD11
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes10
Editorial Board10
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries10
B-splines chaos and Kalman Filters for solving a stochastic differential equation10
Robust design optimization by spline dimensional decomposition10
Small failure probability analysis of stochastic structures based on a new hybrid approach10
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation10
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises10
Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions10
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach10
A two stage Kriging approach for Bayesian optimal experimental design10
Interval deep learning for computational mechanics problems under input uncertainty10
Synthesizing dual-track road elevation data9
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule9
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system9
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds9
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed9
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method9
Collocation method for stochastic delay differential equations9
Reliability Analysis of Subsea Control Systems based on FFTA and Bayesian Network9
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations9
Comparison of PDEM and MCS: Accuracy and efficiency9
Editorial Board9
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling9
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports9
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization9
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states9
A comparative analysis of intrusive and non-intrusive PCE methods for random mode computation8
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties8
Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis8
Distribution-free P-box processes based on translation theory: Definition and simulation8
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters8
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model8
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems8
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network8
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise8
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads8
High-speed rolling bearing lubrication reliability analysis based on probability box model7
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves7
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China7
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions7
Dynamic reliability analysis for non-stationary non-Gaussian response based on the bivariate vector translation process7
Data-driven modeling of high-speed maglev track irregularity7
Probability density evolution filter7
Interval and fuzzy physics-informed neural networks for uncertain fields7
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints7
Wind speed monitoring using entropy theory and a copula-based approach7
Random response of a viscoelastic dielectric elastomer spherical balloon7
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks7
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields7
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database7
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations7
Solution of ordinary differential equation with random parameters using Kronecker product7
Optimal load rating-based inspection planning of corroded steel girders using Markov decision process7
Influence of noise on First Passage Time maps and their use in damage detection7
Editorial Board7
A probabilistic, empirical model for permeability of mudstone7
Editorial Board7
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters7
Imprecise subset simulation7
Evolutionary power spectrum estimation of multi-variate nonstationary stochastic processes based on interpolation enhanced energy reckoning-based method7
Harnessing physics-informed operators for high-dimensional reliability analysis problems7
Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure7
Stochastic design optimization of nonlinear structures under random seismic excitations using incremental dynamic analysis7
The two-level probabilistic description of the compressive constitutive parameters of concrete7
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