Probabilistic Engineering Mechanics

Papers
(The median citation count of Probabilistic Engineering Mechanics is 2. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
B-splines chaos and Kalman Filters for solving a stochastic differential equation77
Full probability conversion model for predicting concrete compressive strength using the rebound method62
Reliability analysis method for multiple failure modes with overlapping failure domains41
Improved pseudo-force approach for Monte Carlo Simulation of non-linear fractional oscillators under stochastic excitation37
Advances in dimension-reduction methods for simulating univariate and multivariate non-stationary stochastic processes via spectral representation37
A Bayesian framework for uncertainty quantification of perturbed gamma process based on simulated likelihood35
Computing exit location distribution of stochastic dynamical systems with noncharacteristic boundary based on deep learning34
Analytical response and Markovianity of systems governed by fractional differential equations driven by 30
Stochastic dynamical systems developed on Riemannian manifolds29
Self-similarity and response of fractional differential equations under white noise input26
Iterative Polynomial Dimensional Decomposition approach towards solution of structural mechanics problems with material randomness25
Generation of realistic 3D concrete aggregate microstructures using multiscale multifractal evolutionary stochastic manifold and operator-split-genetic algorithm21
Residence time in one-dimensional random walks in presence of moving defects18
Reliability of dynamical systems with combined Gaussian and Poisson white noise via path integral method18
Robust model agnostic predictive control algorithm for randomly excited dynamical systems18
Maximum likelihood estimation of probabilistically described loads in beam structures16
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes16
Higher-order analysis for random vibration of stochastic structures under Gaussian stationary excitation16
Stochastic resonance of a multi-stable system and its application in bearing fault diagnosis16
Investigations on the restrictions of stochastic collocation methods for high dimensional and nonlinear engineering applications16
Probabilistic characterization of the effect of transient stochastic loads on the fatigue-crack nucleation time16
Bayesian analysis for estimating statistical parameter distributions of elasto-viscoplastic material models16
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach15
Identification of missing input distributions with an inverse multi-modal Polynomial Chaos approach based on scarce data15
Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions15
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment14
A dimension-reduction based maximum entropy method for probabilistic ultimate load prediction in composite corrugated sandwich panels14
Adaptive radial importance sampling under directional stratification14
Robust design optimization by spline dimensional decomposition14
A double-loop relevant vector machine-based system reliability analysis method with Meta-IS idea and active learning strategy14
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects14
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems14
Reliability evaluation of folding wing mechanism deployment performance based on improved active learning Kriging method13
Extended harmonic input method for response spectrum determination of vehicle–bridge systems13
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model12
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD12
Interval deep learning for computational mechanics problems under input uncertainty12
Uncertainty and bias in fragility estimates by intensifying artificial accelerations12
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction12
An extended two-scale random field model for stochastic response analysis and its application to RC Short-leg shear wall structure12
Back analysis of the shear strength parameters of 3D landslides with Bayesian approach and reliability theory12
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes12
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises12
Wavelet packets-based simulation of non-stationary multivariate ground motions12
A joint time–space extrapolation approach within the Wiener path integral technique for efficient stochastic response determination of nonlinear systems11
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation11
On the parametric assessment of fatigue disparities11
Revisiting the estimation of extreme wind speed considering directionality11
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime11
Statistical model calibration of correlated unknown model variables through identifiability improvement11
Quantified active learning Kriging model for structural reliability analysis10
Modal–based uncertainty quantification for deterministically estimated structural parameters in low-fidelity model updating of complex connections10
Uncertainties quantification for damage localization in concrete based on Bayesian method10
Quantile-based sequential optimization and reliability assessment method under random and interval hybrid uncertainty10
Numerical investigation of turbulence effect on flight trajectory of spherical windborne debris: A multi-layered approach10
A new active learning method for reliability analysis based on local optimization and adaptive parallelization strategy10
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty10
Probability distributions for dynamic and extreme responses of linear elastic structures under quasi-stationary harmonizable loads10
Robust optimization of MTMD systems for the control of vibrations9
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty9
Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations9
Expected damage assessment of RC half-joints under traffic load9
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries9
Fractional-order filter approximations for efficient stochastic response determination of wind-excited linear structural systems9
Copula-based JPDF of wind speed, wind direction, wind angle, and temperature with SHM data9
Editorial Board9
Data-driven probabilistic quantification and assessment of the prediction error model in damage detection applications9
Small failure probability analysis of stochastic structures based on a new hybrid approach9
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems9
Reliability assessment of stochastic dynamical systems based on physics-informed gaussian process regression9
Regional reliability sensitivity analysis based on dimension reduction technique9
Editorial Board8
Performance-based target reliability analysis of offshore wind turbine mooring lines subjected to the wind and wave8
Special Issue: Risk and Uncertainty in Engineering Computations8
A novel mean square formulation of stochastic nonlinear dynamic systems based on Adomian decomposition8
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise8
Moment capacity of H-section steel beam with randomly located pitting corrosion8
Random vibration of the point-driven portal and multi-bay planar frames8
Response of Gaussian white noise excited oscillators with inertia nonlinearity based on the RBFNN method8
Editorial Board8
Probabilistic identification method for seismic failure modes of reinforced concrete beam-column joints using Gaussian process with deep kernel8
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis7
Synthesizing dual-track road elevation data7
Static condensation based reduced order modelling of stochastically parametered large ordered systems7
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables7
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule7
Meta-model based sequential importance sampling method for structural reliability analysis under high dimensional small failure probability7
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method7
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation7
Model calibration: A hierarchical Bayesian approach7
An efficient strategy for information reuse in probability density evolution method considering large shift of distributions with multiple random variables7
Bayesian-based probabilistic models for the ultimate drift capacity of rectangular reinforced concrete columns failed in flexure mode7
Probability distribution estimation for harmonisable loads and responses of linear elastic structures7
Editorial Board7
A two stage Kriging approach for Bayesian optimal experimental design7
Nonlinear random vibrations of micro-beams with fractional viscoelastic core7
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling7
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices7
Simulation of multivariate ergodic stochastic processes using adaptive spectral sampling and non-uniform fast Fourier transform6
A perspective on conditional spectrum-based determination of response statistics of nonlinear systems6
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification6
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization6
A novel non-intrusive ROM for randomly excited linear dynamical systems with high stochastic dimension using ANN6
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports6
Efficient Runge–Kutta solver for stochastic crack growth analysis6
An improved interval prediction method for recurrence period wind speed6
Editorial Board6
Assessment of multi-dimensional joint probability distribution for uncertain mechanical strength parameters under small sample test data6
Quantitative property of MF-discrepancy and efficient point-selection strategy for the nonlinear stochastic response analysis of structures with random parameters6
Stochastic bifurcation and nonlinear dynamics analysis of stochastic wheelset system with double time delays6
Three-dimensional reliability stability analysis of earth-rock dam slopes reinforced with permeable polymer6
Characterizing anisotropic spatial variations of uncertain mechanical parameters for clay layer using incomplete probability data6
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind6
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method6
Stochastic analysis and dynamic reliability of the heavy-haul train–bridge system based on direct probability integral method6
An evolutive probability transformation method for the dynamic stochastic analysis of structures6
Reliability analysis framework for shallow foundations resting on reinforced cohesionless soils6
Probabilistic slope stability analysis: A novel distribution for soils exhibiting highly variable spatial properties6
A univariate Chebyshev polynomials method for structural systems with interval uncertainty5
Finite dimensional (FD) Slepian models for non-Gaussian processes5
Joint spatial modeling of significant wave height and wave period using the SPDE approach5
Inference on the high-reliability lifetime estimation based on the three-parameter Weibull distribution5
Database classification for LRFD of spread foundations under uplift loading in cohesionless soils5
Uncertainty quantification for viscoelastic composite materials using time-separated stochastic mechanics5
Probability density evolution method based stochastic simulation of near-fault pulse-like ground motions5
Enhanced multi-fidelity modeling for digital twin and uncertainty quantification5
Structural reliability analysis under stochastic seismic excitations and multidimensional limit state based on gamma mixture model and copula function5
Using computer techniques for vibration damage estimation under stochastic loading using the Monte Carlo Method for aerospace applications5
Error propagation for quantile estimation via combining Polynomial Chaos expansions and metalog distributions5
Application of Variability Response Function to Cross Laminated Timber5
Modeling Gaussian and Gamma random fields for layered material properties with transitional zones5
The exact element stiffness matrices of stochastically parametered beams5
Probability density function of whole-body vibration in passenger car5
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings5
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings5
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters5
Counter-checking uncertainty calculations in Bayesian operational modal analysis with EM techniques5
Random vibration analysis for train–track interaction from the aspect of uncertainty quantification5
Markov chain based non-linear fatigue damage accumulation model5
A database of installation monitoring and uplift load tests of round-shaft helical anchors in Brazil5
An orthogonal normal transformation of correlated non-normal random variables for structural reliability5
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method5
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures5
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral5
Bayesian inference of pit corrosion in prestressing strands using Markov Chain Monte Carlo method5
Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements5
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders5
Collocation method for stochastic delay differential equations5
A simple and efficient stochastic meshfree method for linear eigenvalue problems in structural mechanics4
Physics-based stochastic aging corrosion analysis assisted by machine learning4
Developed triangular charts; deltaic CPTu-based soil behavior classification using AUT:CPTu-Geo-Marine Database4
A nested hierarchy of second order upper bounds on system failure probability4
Two-scale random field model for quasi-brittle materials4
Koopman operator for time-dependent reliability analysis4
Field simulation of settlement analysis for shallow foundation using cone penetration data4
Time-variant reliability global sensitivity analysis with single-loop Kriging model combined with importance sampling4
Influence of interfaces roughness on elastic properties of layered media4
Random walks and moving boundaries: Estimating the penetration of diffusants into dense rubbers4
Editorial Board4
Laplace and Mellin transform for reconstructing the probability distribution by a limited amount of information4
Book Review4
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle4
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters4
Neumann enriched polynomial chaos approach for stochastic finite element problems4
Probabilistic analysis-based vibration characteristics of intentionally mistuned blisk4
Editorial Board4
Editorial Board4
Editorial Board4
Special collection on data-centric foundation engineering using statistics4
Sparse Identification of Conditional relationships in Structural Causal Models (SICrSCM) for counterfactual inference4
Nonprobabilistic time-dependent reliability analysis for uncertain structures under interval process loads4
Editorial Board4
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes4
Recent advances in uncertainty quantification in structural response characterization and system identification4
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties4
Stochastic averaging in parametric regions near separatrices of integrability3
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system3
Adaptive surrogate model coupled with stochastic configuration network strategies for time-dependent reliability assessment3
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems3
On the optimal design of radial basis function neural networks for the analysis of nonlinear stochastic systems3
Probabilistic data-driven framework for performance assessment of retaining walls against rockfalls3
Random set solutions to elliptic and hyperbolic partial differential equations3
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications3
Reliability modeling of pre-stressed composite structures subject to interlayer slip failure under multi-axial random impact and vibration loads3
Finite dimensional models for wind diffusion process3
Comparison of PDEM and MCS: Accuracy and efficiency3
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations3
Seismic collaborative reliability analysis for a slope considering spatial variability base on optimized subset simulation3
The generalized EPC method for the non-stationary probabilistic response of nonlinear dynamical system3
System reliability analysis for independent and nonidentical components based on survival signature3
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems3
Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis3
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method3
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds3
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis3
An analytical solution to traffic loads on long span bridges3
Data-driven polynomial chaos-interval metamodel for dynamics and reliability analysis under hybrid uncertainty3
A polynomial chaos efficient global optimization approach for Bayesian optimal experimental design3
Importance sampling for reliability assessment of dynamic systems under general random process excitation3
Design by adaptive infill sampling with multi-objective optimization for exploitation and exploration3
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems3
The modified mesoscopic stochastic fracture model incorporating the random field of Young's modulus for the uniaxial constitutive law of concrete3
Interplay between nonlinear Fokker–Planck equation and stochastic differential equation3
Robust scalable initialization for Bayesian variational inference with multi-modal Laplace approximations3
Data-driven statistical nonlinearization technique based on information entropy2
Efficient metamodeling and uncertainty propagation for rotor systems by sparse polynomial chaos expansion2
A novel approach to improve accuracy in seismic fragility analysis: The modified intensity measure method2
Stochastic stiffness identification and response estimation of Timoshenko beams via physics-informed Gaussian processes2
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database2
Optimizing site investigations for gassy soils: A Bi-objective approach using value of information and cost of boreholes2
Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts2
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods2
Non-stationary probabilistic analysis of non-linear ship roll motion due to modulated periodic and random excitations2
Fragility analysis of curtain walls based on wind-borne debris considering wind environment2
Effect of interface roughness on the elastic properties of 3D layered media2
A direct analytical derivation of the multi-dimensional fragility spaces of structures under nonstationary mainshock-multi-aftershock sequences2
Bayesian model updating of eight-storey CLT building using modal data2
Robust design optimization of nonlinear energy sink under random system parameters2
Reliability and hybrid maintenance modeling for competing failure systems with multistage periods2
Translation models and extremes2
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model2
A long short-term memory based deep learning algorithm for seismic response uncertainty quantification2
Nonlinear random vibration analysis: A Bayesian nonparametric approach2
Bayesian-based model updating using natural frequency data for historic masonry towers2
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments2
Distribution-free P-box processes based on translation theory: Definition and simulation2
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution2
MDOF stochastic stability analysis and applications to a coupled rotating shaft system2
Sample regeneration algorithm for structural failure probability function estimation2
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads2
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations2
Adaptive Kriging Adopting PSO with Hollow-Hypersphere space in structural reliability assessment2
Bifurcation and stability analysis of a hybrid energy harvester with fractional-order proportional–integral–derivative controller and Gaussian white noise excitations2
Efficient conditional probability theorem and importance sampling-based methods for global reliability sensitivity analysis2
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise2
Vibration fatigue analysis of structures under non-stationary and non-Gaussian random excitation2
Stochastic response analysis of uncertain train–bridge interaction system by stochastic pseudo excitation method2
Time-dependent kinematic reliability of motion mechanisms with dynamic factors2
A physics-informed neural network enhanced importance sampling (PINN-IS) for data-free reliability analysis2
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states2
On information fusion for reliability estimation with multifidelity models2
Nonstationary response statistics of structures with hysteretic damping to evolutionary stochastic excitation2
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism2
An attention-based deep learning method for safety of uncertain vehicle-bridge system with random near fault earthquakes2
Approximate Bayesian Computation for structural identification of ancient tie-rods using noisy modal data2
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling2
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration2
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review2
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method2
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation2
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