Probabilistic Engineering Mechanics

Papers
(The TQCC of Probabilistic Engineering Mechanics is 9. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-06-01 to 2026-06-01.)
ArticleCitations
An efficient method for solving high-dimension stationary FPK equation of strongly nonlinear systems under additive and/or multiplicative white noise179
On the parametric assessment of fatigue disparities64
Quantitative review of probabilistic approaches to fatigue design in the medium cycle fatigue regime57
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 parameters47
Eigenvalue analysis of stochastic structural systems: A quantum computing approach47
Novel Bayesian updating based interpolation method for estimating failure probability function in the presence of random-interval uncertainty41
Practical enhancement of failure-probability estimation using probability density-driven active learning41
Novel symmetric divergence based importance measures for engineering simulation models under uncertainty32
Probabilistic modeling of threshold stress intensity factor for fatigue endurance reliability prediction31
Reliability analysis method for multiple failure modes with overlapping failure domains31
Graph-theory-driven configuration synthesis and evidence-based reliability optimization for lightweight morphing wings31
Editorial Board30
Finite dimensional (FD) Slepian models for non-Gaussian processes29
Nonstationary time-varying extreme value of downburst-induced wind loads based on transformed stationary method27
A novel method for global reliability sensitivity analysis by adaptive bivariate multiplicative dimensional reduction integral27
Special Issue: Risk and Uncertainty in Engineering Computations27
A time-dependent reliability analysis method based on multi-level meta-models for problems involving interval variables25
Reliability-based design optimization incorporating extended Optimal Uncertainty Quantification24
Multidisciplinary uncertainty propagation method considering correlated field variables for rocket systems23
Efficient metamodel-based importance sampling coupled with single-loop estimation method for parameter global reliability sensitivity analysis22
Nonlinear random vibrations of micro-beams with fractional viscoelastic core22
Improved conditional random field simulation method based on bootstrap- Bayesian inference and its application in identification of seafloor liquefaction22
Hybrid machine learning with Bayesian optimization methods for prediction of patch load resistance of unstiffened plate girders22
Research on the non-probabilistic convex modeling method based on the potential connection between probabilistic and convex models22
Probabilistic volume element model of 2D woven C/SiC composites considering copula dependence between strength and modulus22
Random set solutions to elliptic and hyperbolic partial differential equations20
Failure probability estimation of dynamic systems employing relaxed power spectral density functions with dependent frequency modeling and sampling20
Influence of uncertainties on dynamic properties and responses of human-structure coupled system under bouncing excitations20
A sequential stratified importance sampling method for extremely small time-dependent failure probability with high-dimensional input vector20
Wind pressure field reconstruction using a variance-extended KSI method: Both deterministic and probabilistic applications20
Local reliability sensitivity analysis with directional sampling framework in complex failure domain20
Detecting and quantifying stochastic resonance in a coupled fractional-order bistable system driven by Lévy noises via statistical complexity measure20
A DPIM-based probability analysis framework to obtain railway vehicle vibration characteristics considering the randomness of OOR wheel20
Koopman operator for time-dependent reliability analysis19
Reliability-based seismic retrofitting design methodology for non-ductile reinforced concrete frame structures19
Fragility analysis of curtain walls based on wind-borne debris considering wind environment19
Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration18
Compilation of wheel-rail comprehensive irregularity spectrum for subway vehicle18
Time-dependent kinematic reliability of motion mechanisms with dynamic factors18
An improved modified Weibull distribution applied to predict the reliability evolution of an aircraft lock mechanism18
Seismic fragility of pile groups with batter piles in slope: A three-dimensional finite element investigation18
Bayesian-based model updating using natural frequency data for historic masonry towers17
Finite element limit analysis of undrained vertical bearing capacity of skirted foundations in anisotropic random cohesive soils17
A Fused OCEM-DER-Bayesian Framework for Quantitative FMEA: Dynamic Risk Assessment of HPCR Fuel Injection Failures in Low-Speed Engines17
Estimation of small failure probabilities using the Accelerated Weight Histogram method17
Uncertainty analysis and reliability improvement of planetary roller screw mechanism using active learning Kriging model16
A data-driven maximum entropy method for probability uncertainty analysis based on the B-spline theory16
Effects of stochastic generation on the elastic and inelastic spectra of fully non-stationary accelerograms16
Simulating multivariate stationary non-Gaussian process based on wavenumber–frequency spectrum and unified Hermite polynomial model16
Probabilistic evaluation of the Step-Stress fatigue testing method considering cumulative damage16
Neural network-based probabilistic tracking control for levitation systems under stochastic track irregularities16
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
A state-of-the-art review of Bayesian finite element model updating techniques for structural systems15
A novel double-layer kriging model-based reliability analysis framework for time-dependent structural system with stochastic process15
Data-driven identification of time-delayed hybrid energy harvesting system under non-Gaussian noise15
Response moments of parametrically excited linear oscillators based on the Wiener path integral15
Surrogate-assisted investigation on influence of epistemic uncertainties on running safety of high-speed trains on bridges15
Topology optimization of bridges under random traffic loading using stochastic reduced-order models15
Hybrid-surrogate-based prediction and reliability-based optimization of curling strength for bistable cylindrical shells15
Higher-order spectral representation method: New algorithmic framework for simulating multi-dimensional non-Gaussian random physical fields15
Transient response of Bouc–Wen hysteretic system under random excitation via RBFNN method15
Geometrical uncertainties influence on the failure load estimation of lattice structures15
First-passage analysis of nonlinear oscillators by leveraging information in the Wiener path integral most probable path14
Time-varying up-crossing theory-based non-stationary extreme estimation of gust-loading on rectangular cylinder due to thunderstorm-like wind14
A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators14
Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation14
Elucidating appealing features of differentiable auto-correlation functions: A study on the modified exponential kernel14
Feedback stabilization of quasi nonintegrable Hamiltonian systems under combined Gaussian and Poisson white noise excitations14
A robust probabilistic fatigue crack growth model based on walker’s crack growth rate equation for metallic materials14
A novel hybrid time-variant reliability analysis method through approximating bound-most-probable point trajectory13
Variable Friction Dampers (VFD) for a modulated mitigation of the seismic response of framed structures: Characteristics and design criteria13
Small failure probability analysis of stochastic structures based on a new hybrid approach13
Higher-order analysis for random vibration of stochastic structures under multi-point stationary Gaussian excitations13
An adaptive subinterval univariate dimension reduction method for uncertain problems with large interval parameters13
A novel general method for simulating a one dimensional random field based on the active learning Kriging model13
Reliability sensitivity analysis of frame structures controlled by external fractional viscoelastic dampers13
Reliability-based design optimization of key components in a gantry machining center13
Simulation of a non-Gaussian stochastic process based on a combined distribution of the UHPM and the GBD13
A pragmatic two-stage design optimization framework for seismic RC structures under uncertainties incorporating two-level reliability constraints13
Developing region-specific fragility function for predicting probability of liquefaction induced ground failure13
A probabilistic performance-based analysis approach for a vibrator-ground interaction system13
Informational probabilistic sensitivity analysis and active learning surrogate modelling13
Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems13
Interval deep learning for computational mechanics problems under input uncertainty13
Reference prior for Bayesian estimation of seismic fragility curves13
An amplitude probability density function model under broadband multimodal stochastic vibration fatigue response13
Karhunen-Loève expansion based on an analytical solution over a bounding box domain13
Mellin transform for the probabilistic characterization of random variables and stochastic processes13
An efficient algorithm for global searching of representative points in reliability evaluation with adaptive Kriging model and direct probability integral method13
Research on Adaptive Probabilistic Regularization (APR) method for damage parameter identification of laminated structures12
Editorial Board12
Stochastic dynamics in power systems excited by discrete-continuous random disturbances12
A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries12
Reliability analysis of underground tunnel by a novel adaptive Kriging based metamodeling approach12
Editorial Board12
Stochastic nonlinear eigenvibrations of thin elastic plates resting on time-fractional viscoelastic supports12
Reliability of quasi-integrable Hamiltonian systems with coupled viscoelastic dampings driven by wideband noises12
B-splines chaos and Kalman Filters for solving a stochastic differential equation12
Plug-in adaptive sampling for structural reliability: Key region Voronoi partitioning with cross-validated failure probability12
A two stage Kriging approach for Bayesian optimal experimental design12
Application of sensitivity analysis in extension, inflation, and torsion of residually stressed circular cylindrical tubes12
An efficient approach for statistical moments estimation of structural response based on a novel adaptive hybrid dimension-reduction method11
Uncertainty quantification of neural network models of evolving processes via Langevin sampling11
Correlated non-Gaussian and Gaussian noises induced transition and mean first-passage time in a fractional-order bistable system11
Nonlinear coupled asymmetric stochastic resonance for weak signal detection based on intelligent algorithm optimization11
Collocation method for stochastic delay differential equations11
Description of the linear elastic material parameters of short fiber composites using random fields. A comparison of Gaussian and non-Gaussian random fields11
A wavelet transform based stationary transformation method for estimating the extreme value of the non-stationary wind speeds11
A novel self-adaptive step size first-order method for structural reliability analysis based on modified Sigmoid function and Armijo rule11
Quantification of data and production uncertainties for tire design parameters in the frame of robustness evaluation11
Stochastic simulation of velocity pulses of near-fault ground motions based on multivariate copula modeling11
Reliability analysis of subsea control systems based on FFTA and Bayesian network11
A comparative analysis of intrusive and non-intrusive PCE methods for random mode computation10
Hybrid Bayesian-Copula-based damage probability estimation for steel-concrete composite tall buildings under concurrent seismic and wind loads10
Distribution-free P-box processes based on translation theory: Definition and simulation10
An enhanced PDEM-based framework for reliability analysis of structures considering multiple failure modes and limit states10
Separable Gaussian neural networks for high-dimensional nonlinear stochastic systems10
Gaussian process metamodel and Markov chain Monte Carlo-based Bayesian inference framework for stochastic nonlinear model updating with uncertainties10
Extending the analysis of the Euler–Bernoulli model for a stochastic static cantilever beam: Theory and simulations10
Unidirectional and multi-directional wave estimation from ship motions using an Adaptive Kalman Filter with the inclusion of varying forward speed10
Development of a model for stochastic analysis of vehicle–track interaction considering spatial variability of track parameters10
A new MFk-discrepancy for improving point selection in high-dimensional stochastic system analysis involving uncertain parameters10
Uncertainty quantification of a short-term thermal aging model of a peroxide-cured EPDM rubber: Standard Bayesian inference versus multilevel Bayesian inference10
Comparison of PDEM and MCS: Accuracy and efficiency10
Construction of adaptive Kriging metamodel for failure probability estimation considering the uncertainties of distribution parameters10
Probabilistic analysis of the instantaneous center of rotation of a floating structure under regular and irregular beam waves9
Seismic fragility analysis of deep sliding stability in gravity dams via vector-valued intensity measures9
Generic compressive strength prediction model applicable to multiple lithologies based on a broad global database9
Wind speed monitoring using entropy theory and a copula-based approach9
Imprecise subset simulation9
Data-driven analysis of probability density for nonlinear stochastic Duffing-van der Pol systems using BP neural networks9
Characterization, propagation, and sensitivity analysis of uncertainties in the directed energy deposition process using a deep learning-based surrogate model9
The transient characteristics of an underdamped periodic potential system excited by two different kinds of noise9
A novel GRU-SCN ensemble learning approach for time-varying reliability evaluation9
Two dimension-reduction probabilistic models for simulating nonstationary turbulent wind fields9
A single-loop active learning framework for rare-event time-dependent reliability analysis under hybrid uncertainties9
A mechanism motion error sensitivity analysis method based on principal component analysis and artificial neural network9
Statistical analysis of wind load probabilistic models considering wind direction and calculation of reference wind pressure values in Liaoning Province, China9
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