Probabilistic Engineering Mechanics

Article	Citations
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction	82
Generation of realistic 3D concrete aggregate microstructures using multiscale multifractal evolutionary stochastic manifold and operator-split-genetic algorithm	82
Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling treatment	48
Reliability analysis method for multiple failure modes with overlapping failure domains	45
On the parametric assessment of fatigue disparities	39
Analytical response and Markovianity of systems governed by fractional differential equations driven by 38
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty	37
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime	36
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise	30
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty	28
Special Issue: Risk and Uncertainty in Engineering Computations	27
Editorial Board	24
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral	23
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification	22
Finite dimensional (FD) Slepian models for non-Gaussian processes	21
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method	20
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus	20
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models	20
Stochastic averaging in parametric regions near separatrices of integrability	19
Nonlinear random vibrations of micro-beams with fractional viscoelastic core	19
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders	19
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables	19
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration	18
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure	18
Koopman operator for time-dependent reliability analysis	18

Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts	18
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations	17
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel	17
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications	16
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling	16
Time-dependent kinematic reliability of motion mechanisms with dynamic factors	16
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism	16
Random set solutions to elliptic and hyperbolic partial differential equations	15
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle	15
Neumann enriched polynomial chaos approach for stochastic finite element problems	15
Editorial Board	15
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis	15
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model	14
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms	14
Corrigendum to “Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method” [Probabilistic Engineering Mechanics 72 (2023) 103448]	14
Geometrical uncertainties influence on the failure load estimation of lattice structures	14
Estimation of small failure probabilities using the Accelerated Weight Histogram method	14
Fragility analysis of curtain walls based on wind-borne debris considering wind environment	14
Bayesian-based model updating using natural frequency data for historic masonry towers	14
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model	14
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields	14
Offshore renewable energy site correlated wind-wave statistics	13
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges	13
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage	13
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators	12
Robust design optimization of nonlinear energy sink under random system parameters	12
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems	12
A probabilistic performance-based analysis approach for a vibrator-ground interaction system	12
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method	12
A data-driven maximum entropy method for probability uncertainty analysis based on the B-spline theory	12
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations	12
Response moments of parametrically excited linear oscillators based on the Wiener path integral	12
Topology optimization of bridges under random traffic loading using stochastic reduced-order models	12
Machine learning based digital twin for stochastic nonlinear multi-degree of freedom dynamical system	11
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation	11
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response	11
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria	11
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure	11
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel	11
A novel general method for simulating a one dimensional random field based on the active learning Kriging model	11
Karhunen-Loève expansion based on an analytical solution over a bounding box domain	11
Mellin transform for the probabilistic characterization of random variables and stochastic processes	11
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials	11
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind	11
Reference prior for Bayesian estimation of seismic fragility curves	11
A novel hybrid time-variant reliability analysis method through approximating bound-most-probable point trajectory	10
Probabilistic characterization of the effect of transient stochastic loads on the fatigue-crack nucleation time	10
Interval deep learning for computational mechanics problems under input uncertainty	10
Reliability-based design optimization of key components in a gantry machining center	10
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers	10

Informational probabilistic sensitivity analysis and active learning surrogate modelling	10
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD	10
Small failure probability analysis of stochastic structures based on a new hybrid approach	10
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems	10
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach	10
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries	10
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes	10
Collocation method for stochastic delay differential equations	9
Editorial Board	9
Robust design optimization by spline dimensional decomposition	9
Editorial Board	9
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling	9
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports	9
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation	9
Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions	9
A two stage Kriging approach for Bayesian optimal experimental design	9
Synthesizing dual-track road elevation data	9
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization	9
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises	9
B-splines chaos and Kalman Filters for solving a stochastic differential equation	9
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states	8
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system	8
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations	8
Distribution-free P-box processes based on translation theory: Definition and simulation	8
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads	8
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method	8
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds	8
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters	8
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems	8
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule	8
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties	8
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed	8
Structural design optimization under dynamic reliability constraints based on the probability density evolution method and highly-efficient sensitivity analysis	8
Evolutionary power spectrum estimation of multi-variate nonstationary stochastic processes based on interpolation enhanced energy reckoning-based method	7
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China	7
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network	7
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model	7
Editorial Board	7
Random response of a viscoelastic dielectric elastomer spherical balloon	7
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints	7
Wind speed monitoring using entropy theory and a copula-based approach	7
A probabilistic, empirical model for permeability of mudstone	7
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters	7
Comparison of PDEM and MCS: Accuracy and efficiency	7
Imprecise subset simulation	7
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database	7
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields	7
Optimal load rating-based inspection planning of corroded steel girders using Markov decision process	7
Interval and fuzzy physics-informed neural networks for uncertain fields	7
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions	7
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations	7
Dynamic reliability analysis for non-stationary non-Gaussian response based on the bivariate vector translation process	7
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks	7
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves	7
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise	7
High-speed rolling bearing lubrication reliability analysis based on probability box model	7
The two-level probabilistic description of the compressive constitutive parameters of concrete	7
Editorial Board	7
Robust optimization of MTMD systems for the control of vibrations	6
Reliability-informed design table for optimizing tuned mass-damper-inerter systems to improve structural seismic performance	6
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems	6
Uncertainty and bias in fragility estimates by intensifying artificial accelerations	6
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction	6
Solution of ordinary differential equation with random parameters using Kronecker product	6
Revisiting the estimation of extreme wind speed considering directionality	6
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model	6
A new active learning method for reliability analysis based on local optimization and adaptive parallelization strategy	6
Performance analysis of an energy harvester with a nonlinear energy sink and time delay under narrow-band noise excitation	6
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices	6
Asymptotic Bayesian Optimization: A Markov sampling-based framework for design optimization	6
Probability density evolution filter	6
Stochastic design optimization of nonlinear structures under random seismic excitations using incremental dynamic analysis	6
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation	6
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems	6
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes	6
Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations	6
Editorial Board	6
Bayesian analysis for estimating statistical parameter distributions of elasto-viscoplastic material models	6
Determination of monopile offshore structure response to stochastic wave loads via analog filter approximation and GV-GDEE procedure	6
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects	6

Identification of missing input distributions with an inverse multi-modal Polynomial Chaos approach based on scarce data	6
The exact element stiffness matrices of stochastically parametered beams	5
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings	5
System identification and reliability assessment of hyperelastic materials via an efficient sparsity-promoting variational Bayesian approach	5
Recent advances in uncertainty quantification in structural response characterization and system identification	5
A nested hierarchy of second order upper bounds on system failure probability	5
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings	5
Static condensation based reduced order modelling of stochastically parametered large ordered systems	5
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method	5
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis	5
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters	5
Joint spatial modeling of significant wave height and wave period using the SPDE approach	5
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems	5
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments	5
Interplay between nonlinear Fokker–Planck equation and stochastic differential equation	5
An evolutive probability transformation method for the dynamic stochastic analysis of structures	5
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method	5
Editorial Board	5
Efficient Runge–Kutta solver for stochastic crack growth analysis	5
Random vibration analysis for train–track interaction from the aspect of uncertainty quantification	5
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind	5
Reliability analysis combining method of moments with control variates	5
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems	5
Book Review	5
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures	5
MDOF stochastic stability analysis and applications to a coupled rotating shaft system	5
Two-phase optimized experimental design for fatigue limit testing	4
Random vibrations of a structure modified by damped absorbers	4
Survival probability of structures under fatigue: A data-based approach	4
Application of particle filter variants to estimate the remaining useful life	4
Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification	4
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment	4
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution	4
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes	4
A long short-term memory based deep learning algorithm for seismic response uncertainty quantification	4
Editorial Board	4
Enhanced universal kriging for transformed input parameter spaces	4
Application of the Tail Equivalent Linearization Method to wave bending moment and comparison with experimental data	4
Stochastic dispersion behavior and optimal design of locally resonant metamaterial nanobeams using nonlocal strain gradient theory	4
Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model	4
Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model	4
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 moti	4
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods	4
Probabilistic analysis-based vibration characteristics of intentionally mistuned blisk	4
Probabilistic solution of a homogeneous linear second-order differential equation with randomized complex coefficients	4
Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method	4
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm	4
Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo	4
Research on control parameters of high-speed maglev train under stochastic track irregularities	4
Extreme riser experimental loads caused by sea currents in the Gulf of Eilat	4
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise	4
Uncertainty analysis of structural output with closed-form expression based on surrogate model	4
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation	4
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review	4
Confidence-based design optimization using multivariate kernel density estimation under insufficient input data	4
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields	4
Stochastic analysis and dynamic reliability of the heavy-haul train–bridge system based on direct probability integral method	3
Quantitative property of MF-discrepancy and efficient point-selection strategy for the nonlinear stochastic response analysis of structures with random parameters	3
Probabilistic stability analyses of active shallow trapdoor in spatially random sand	3
An extended two-scale random field model for stochastic response analysis and its application to RC Short-leg shear wall structure	3
Reliability assessment of civil structures with incomplete probability distribution information	3
Stochastic dynamical systems developed on Riemannian manifolds	3
Optimal design of cubic nonlinear energy harvester device for random vibrations	3
Dynamic stability simulation of micro-milling under the condition of multi-parameter uncertainty	3
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis	3
Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy	3
Editorial Board	3
Characterizing anisotropic spatial variations of uncertain mechanical parameters for clay layer using incomplete probability data	3
A database of installation monitoring and uplift load tests of round-shaft helical anchors in Brazil	3
Bayesian-based probabilistic models for the ultimate drift capacity of rectangular reinforced concrete columns failed in flexure mode	3
Response of Gaussian white noise excited oscillators with inertia nonlinearity based on the RBFNN method	3
Laplace and Mellin transform for reconstructing the probability distribution by a limited amount of information	3
Probabilistic machine learning approach for structural reliability analysis	3
Advances in dimension-reduction methods for simulating univariate and multivariate non-stationary stochastic processes via spectral representation	3
A Kriging-based adaptive adding point strategy for structural reliability analysis	3
Stochastic bifurcation and nonlinear dynamics analysis of stochastic wheelset system with double time delays	3
Statistical model calibration of correlated unknown model variables through identifiability improvement	3
A layer assigned probability space partition method for structural small failure probability problem	3
Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function	3
Effect of uncertain damping coefficient on the response of a SDOF system	3
Improved pseudo-force approach for Monte Carlo Simulation of non-linear fractional oscillators under stochastic excitation	3
Three-dimensional reliability stability analysis of earth-rock dam slopes reinforced with permeable polymer	3
Probability distribution estimation for harmonisable loads and responses of linear elastic structures	3
A perspective on conditional spectrum-based determination of response statistics of nonlinear systems	3
Using computer techniques for vibration damage estimation under stochastic loading using the Monte Carlo Method for aerospace applications	3
Maximum likelihood estimation of probabilistically described loads in beam structures	3
Partial safety factor calibration using surrogate models: An application for running safety of ballasted high-speed railway bridges	3
Self-similarity and response of fractional differential equations under white noise input	3
A practical approach for sampling the Longuet–Higgins distribution for engineering applications	3
The influence of slope geometric parameters on the reliability of slope reinforced by micro-piles in spatially variable soils	3
Dimensional reduction technique-based maximum entropy principle method for safety degree analysis under twofold random uncertainty	3
On the numerical solution of fractional differential equations under white noise processes	3
Error-based stopping criterion for the combined adaptive Kriging and importance sampling method for reliability analysis	3
Reliability evaluation of folding wing mechanism deployment performance based on improved active learning Kriging method	3
Probability density evolution method based stochastic simulation of near-fault pulse-like ground motions	3