Probabilistic Engineering Mechanics

Article	Citations
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise	179
On the parametric assessment of fatigue disparities	64
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime	57
Analytical response and Markovianity of systems governed by fractional differential equations driven by 49
A novel Bayesian method for simultaneous identification of structural mass and stiffness parameters	47
Eigenvalue analysis of stochastic structural systems: A quantum computing approach	47
Practical enhancement of failure-probability estimation using probability density-driven active learning	41
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty	41
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty	32
Graph-theory-driven configuration synthesis and evidence-based reliability optimization for lightweight morphing wings	31
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction	31
Reliability analysis method for multiple failure modes with overlapping failure domains	31
Editorial Board	30
Finite dimensional (FD) Slepian models for non-Gaussian processes	29
Special Issue: Risk and Uncertainty in Engineering Computations	27
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method	27
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral	27
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables	25
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification	24
Multidisciplinary uncertainty propagation method considering correlated field variables for rocket systems	23
Improved conditional random field simulation method based on bootstrap- Bayesian inference and its application in identification of seafloor liquefaction	22
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders	22
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models	22
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus	22
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis	22

Nonlinear random vibrations of micro-beams with fractional viscoelastic core	22
A sequential stratified importance sampling method for extremely small time-dependent failure probability with high-dimensional input vector	20
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications	20
Local reliability sensitivity analysis with directional sampling framework in complex failure domain	20
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure	20
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel	20
Random set solutions to elliptic and hyperbolic partial differential equations	20
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling	20
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations	20
Fragility analysis of curtain walls based on wind-borne debris considering wind environment	19
Koopman operator for time-dependent reliability analysis	19
Reliability-based seismic retrofitting design methodology for non-ductile reinforced concrete frame structures	19
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism	18
Seismic fragility of pile groups with batter piles in slope: A three-dimensional finite element investigation	18
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration	18
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle	18
Time-dependent kinematic reliability of motion mechanisms with dynamic factors	18
Estimation of small failure probabilities using the Accelerated Weight Histogram method	17
Bayesian-based model updating using natural frequency data for historic masonry towers	17
Finite element limit analysis of undrained vertical bearing capacity of skirted foundations in anisotropic random cohesive soils	17
A Fused OCEM-DER-Bayesian Framework for Quantitative FMEA: Dynamic Risk Assessment of HPCR Fuel Injection Failures in Low-Speed Engines	17
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model	16
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage	16
Neural network-based probabilistic tracking control for levitation systems under stochastic track irregularities	16
Corrigendum to “Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method” [Probabilistic Engineering Mechanics 72 (2023) 103448]	16
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model	16
A data-driven maximum entropy method for probability uncertainty analysis based on the B-spline theory	16
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms	16
Response moments of parametrically excited linear oscillators based on the Wiener path integral	15
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges	15
Topology optimization of bridges under random traffic loading using stochastic reduced-order models	15
Hybrid-surrogate-based prediction and reliability-based optimization of curling strength for bistable cylindrical shells	15
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields	15
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method	15
Geometrical uncertainties influence on the failure load estimation of lattice structures	15
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems	15
A novel double-layer kriging model-based reliability analysis framework for time-dependent structural system with stochastic process	15
Data-driven identification of time-delayed hybrid energy harvesting system under non-Gaussian noise	15
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations	14
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials	14
First-passage analysis of nonlinear oscillators by leveraging information in the Wiener path integral most probable path	14
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind	14
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators	14
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation	14
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel	14
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure	13
A probabilistic performance-based analysis approach for a vibrator-ground interaction system	13
Informational probabilistic sensitivity analysis and active learning surrogate modelling	13
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems	13
Interval deep learning for computational mechanics problems under input uncertainty	13

Reference prior for Bayesian estimation of seismic fragility curves	13
Karhunen-Loève expansion based on an analytical solution over a bounding box domain	13
Mellin transform for the probabilistic characterization of random variables and stochastic processes	13
An efficient algorithm for global searching of representative points in reliability evaluation with adaptive Kriging model and direct probability integral method	13
A novel hybrid time-variant reliability analysis method through approximating bound-most-probable point trajectory	13
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria	13
Small failure probability analysis of stochastic structures based on a new hybrid approach	13
A pragmatic two-stage design optimization framework for seismic RC structures under uncertainties incorporating two-level reliability constraints	13
Higher-order analysis for random vibration of stochastic structures under multi-point stationary Gaussian excitations	13
An adaptive subinterval univariate dimension reduction method for uncertain problems with large interval parameters	13
A novel general method for simulating a one dimensional random field based on the active learning Kriging model	13
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers	13
Reliability-based design optimization of key components in a gantry machining center	13
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD	13
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response	13
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes	12
Research on Adaptive Probabilistic Regularization (APR) method for damage parameter identification of laminated structures	12
Editorial Board	12
Stochastic dynamics in power systems excited by discrete-continuous random disturbances	12
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries	12
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach	12
Editorial Board	12
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports	12
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises	12
B-splines chaos and Kalman Filters for solving a stochastic differential equation	12
Plug-in adaptive sampling for structural reliability: Key region Voronoi partitioning with cross-validated failure probability	12
A two stage Kriging approach for Bayesian optimal experimental design	12
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule	11
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation	11
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling	11
Reliability analysis of subsea control systems based on FFTA and Bayesian network	11
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method	11
Uncertainty quantification of neural network models of evolving processes via Langevin sampling	11
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system	11
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization	11
Collocation method for stochastic delay differential equations	11
Description of the linear elastic material parameters of short fiber composites using random fields. A comparison of Gaussian and non-Gaussian random fields	11
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds	11
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters	10
A comparative analysis of intrusive and non-intrusive PCE methods for random mode computation	10
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads	10
Distribution-free P-box processes based on translation theory: Definition and simulation	10
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states	10
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems	10
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties	10
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations	10
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed	10
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters	10
A new MFk-discrepancy for improving point selection in high-dimensional stochastic system analysis involving uncertain parameters	10
Uncertainty quantification of a short-term thermal aging model of a peroxide-cured EPDM rubber: Standard Bayesian inference versus multilevel Bayesian inference	10
Comparison of PDEM and MCS: Accuracy and efficiency	10
A single-loop active learning framework for rare-event time-dependent reliability analysis under hybrid uncertainties	9
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network	9
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China	9
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves	9
Seismic fragility analysis of deep sliding stability in gravity dams via vector-valued intensity measures	9
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database	9
Wind speed monitoring using entropy theory and a copula-based approach	9
Imprecise subset simulation	9
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks	9
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model	9
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise	9
A novel GRU-SCN ensemble learning approach for time-varying reliability evaluation	9
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields	9
Step-stress likelihood inference for the modified Lindley distribution	8
Probabilistic modeling for reliability analysis of buried pipelines subjected to spatiotemporal earthquakes	8
Data-driven modeling of high-speed maglev track irregularity	8
A probabilistic, empirical model for permeability of mudstone	8
Hybrid mechanical and data-driven probabilistic model for shear strength of RC beam-column joints	8
Evolutionary power spectrum estimation of multi-variate nonstationary stochastic processes based on interpolation enhanced energy reckoning-based method	8
Solution of ordinary differential equation with random parameters using Kronecker product	8
Nonstationary translation processes	8
Probability density evolution filter	8
Consideration of time-frequency non-stationary irregularity excitation induced by variable vehicle speed in random vibration analysis of train-bridge system	8
A multi-directional extreme wind speeds model based on multi-site temporal correlations	8
Model order reduction for enhanced uncertainty quantification of nonlinear frequency response functions	8
High-speed rolling bearing lubrication reliability analysis based on probability box model	8
Data-driven dimensionally decomposed generalized polynomial chaos expansion for forward uncertainty quantification	8
Influence of noise on First Passage Time maps and their use in damage detection	8
Radial basis function neural networks solution for stationary probability density function of nonlinear stochastic systems	8

Editorial Board	8
Structural reliability analysis based on probability density evolution method and stepwise truncated variance reduction	8
Reduced-order equivalent linearization based on explicit time-domain method for nonstationary random vibration analysis of nonlinear systems	8
Dynamical responses for a vertical vibration model of a four-roller cold rolling mill under combined stochastic and harmonic excitations	8
The two-level probabilistic description of the compressive constitutive parameters of concrete	8
Probabilistic analysis of high-speed train safety on bridges under stochastic near-fault pulse-type ground motions	8
Harnessing physics-informed operators for high-dimensional reliability analysis problems	8
Stochastic design optimization of nonlinear structures under random seismic excitations using incremental dynamic analysis	8
Assessment of random dynamic behavior for EMUs high-speed train based on Monte Carlo simulation	7
Robust optimization of MTMD systems for the control of vibrations	7
A hybrid approach of modified bootstrap and physics-based methods for probabilistic fatigue life prediction considering overload effects	7
Uncertainty and bias in fragility estimates by intensifying artificial accelerations	7
The exact element stiffness matrices of stochastically parametered beams	7
Identification of probabilistic distribution parameters for the mesoscopic stochastic fracture model	7
A new active learning method for reliability analysis based on local optimization and adaptive parallelization strategy	7
Revisiting the estimation of extreme wind speed considering directionality	7
The memory-dependent FPK equation for fractional Gaussian noise	7
A probabilistic evaluation of fatigue crack growth in plain concrete using inverse reliability approach	7
Research on the stochastic dynamic response and reliability of asphalt concrete core dams considering the spatial nonstationary characteristics of material parameters	7
Performance analysis of an energy harvester with a nonlinear energy sink and time delay under narrow-band noise excitation	7
A procedure to estimate the Minimum Observable Damage in truss structures using vibration-based Structural Health Monitoring systems	7
Reliability-informed design table for optimizing tuned mass-damper-inerter systems to improve structural seismic performance	7
Propagation of material uncertainty in modal parameters and its influence in damage quantification of shear buildings	7
Bayesian updating method considering the uncertainty of distribution parameters of random model inputs	6
Efficient Runge–Kutta solver for stochastic crack growth analysis	6
Efficient optimization-based method for simultaneous calibration of load and resistance factors considering multiple target reliability indices	6
An evolutive probability transformation method for the dynamic stochastic analysis of structures	6
A nested hierarchy of second order upper bounds on system failure probability	6
An adaptive non-uniform discretization scheme in the frequency–wavenumber spectrum for efficient simulation of random fluctuating wind fields enhanced with NUFFT	6
A quadratic Wiener path integral approximation for stochastic response determination of multi-degree-of-freedom nonlinear systems	6
Recent advances in uncertainty quantification in structural response characterization and system identification	6
Physics-integrated deep learning for uncertainty quantification and reliability estimation of nonlinear dynamical systems	6
System identification and reliability assessment of hyperelastic materials via an efficient sparsity-promoting variational Bayesian approach	6
Modeling tensile failure of concrete considering multivariate correlated random fields of material parameters	6
Momentum gradient based first order reliability method for efficient identification of the most probable failure point	6
Augmented weighted low-discrepancy simulation with hyper-spherical ring for general reliability analysis	6
Modified replica exchange-based MCMC algorithm for estimation of structural reliability based on particle splitting method	6
Pattern-moving-based dynamic description for a class of nonlinear systems using the generalized probability density evolution	6
Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods	6
Stochastic response and stability of a hybrid energy harvester with Coulomb friction	6
Contribution to efficient structural safety assessments: A comparative analysis of computational schemes	6
Editorial Board	6
Improved state augmentation method for buffeting analysis of structures subjected to non-stationary wind	6
Constraint interval model updating with Chebyshev inclusion functions	6
Special mathematical transformation-based fatigue damage estimation under narrowband non-Gaussian random loadings	6
On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures	6
Reliability analysis combining method of moments with control variates	6
Multi-source data-driven conjugate Bayesian inference of the distributions of soil shear strength parameter moments	6
Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review	6
MDOF stochastic stability analysis and applications to a coupled rotating shaft system	6
Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method	6
Online POD–Kriging surrogate for efficient uncertainty quantification of dynamical systems	6
The Enhanced Analytical Spectral Moments method for probabilistic characterization of large DOF systems under seismic actions	5
A multi-mode failure boundary exploration and exploitation framework using adaptive kriging model for system reliability assessment	5
Time-domain dimension-reduction representation for stochastic ground motion utilizing filtered white noise	5
Stochastic dispersion behavior and optimal design of locally resonant metamaterial nanobeams using nonlocal strain gradient theory	5
Editorial Board	5
Data-driven reliability assessment with scarce samples considering multidimensional dependence	5
Meta model-based and cross entropy-based importance sampling algorithms for efficiently solving system failure probability function	5
A PDF discretization scheme in wavenumber–frequency joint spectrum for simulating multivariate random fluctuating wind fields	5
Enhanced universal kriging for transformed input parameter spaces	5
Confidence-based design optimization using multivariate kernel density estimation under insufficient input data	5
Two-phase optimized experimental design for fatigue limit testing	5
Application of particle filter variants to estimate the remaining useful life	5
A sequential metamodel-based importance sampling coupled with adaptive Kriging model method for efficiently estimating the global reliability sensitivity indices	5
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	5
Multivariate non-Gaussian process simulation based on HPM-JTM hybrid model	5
Estimation of failure probability-based-global-sensitivity using the theorem of Bayes and subset simulation	5
On the numerical solution of fractional differential equations under white noise processes	5
Optimal design of cubic nonlinear energy harvester device for random vibrations	5
Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo	5
Gaussian cross-entropy and organizing intelligence for design optimization of the outrigger system with inclined belt truss in real-size tall buildings	5
Survival probability of structures under fatigue: A data-based approach	5
Moment Lyapunov exponents and stochastic stability of non-linear systems under white-noise excitation	5
Conditional simulation of stationary non-Gaussian processes based on unified hermite polynomial model	5
Uncertainty analysis of structural output with closed-form expression based on surrogate model	5
Structural reliability analysis with extremely small failure probabilities: A quasi-Bayesian active learning method	5
Gated Linear Model induced U-net for surrogate modeling and uncertainty quantification	5
Multi-objective design optimization of structural systems based on probabilistic life-cycle criteria through a sequential decision process	5
Stochastic dynamic response analysis via dimension-reduced probability density evolution equation (DR-PDEE) with enhanced tail-accuracy	5
Probabilistic machine learning approach for structural reliability analysis	5
Scale-dependent <	5
Structural design optimization under dynamic reliability constraints based on probability density evolution method and quantum-inspired optimization algorithm	5
Dimension-reduction simulation of near-fault pulse-like stochastic ground motion processes	5
Multi-fidelity wavelet neural operator surrogate model for time-independent and time-dependent reliability analysis	5
Spatial variation of parallel to grain tensile strength in sawn lumber	5
Research on control parameters of high-speed maglev train under stochastic track irregularities	5
Characterizing anisotropic spatial variations of uncertain mechanical parameters for clay layer using incomplete probability data	4
An extended two-scale random field model for stochastic response analysis and its application to RC Short-leg shear wall structure	4
Probability density function of whole-body vibration in passenger car	4
A novel multidimensional parallelepiped model for structural uncertainty quantification and propagation analysis	4
Self-similarity and response of fractional differential equations under white noise input	4
Probabilistic slope stability analysis: A novel distribution for soils exhibiting highly variable spatial properties	4
Random vibrations of two phase shear deformable pieozoelectric nanobeams based on Gaussian local/nonlocal integral model	4
Three-dimensional reliability stability analysis of earth-rock dam slopes reinforced with permeable polymer	4