Computational Stochastic Mechanics

Section 1: Theoretical Reliability Analysis.- On Excursions of Non-Homogeneous Vector-Valued Gaussian Random Fields.- Fitting-Adaptive Importance Sampling in Reliability Analysis.- Exceedance Probabilities Under Various Combinations of Rare Events.- Skewness and Kurtosis of Safety Margin.- A Curve-Fitting Method of Combined Distribution in Probabilistic Modeling of Random Variables.- On Procedures to Calculate the Reliability of Structural Systems under Stochastic Loading.- The Sensitivity Analysis of Stochastic Hysteretic Dynamic Systems.- Solution of Random Eigenvalue Problem by Crossing Theory and Perturbation.- SORM Analysis Using Quasi-Newton Optimization.- Method of Stochastic Linearization Revised and Improved.- Maximal Lyapunov Exponent for a Stochastically Perturbed Co-Dimension Two Bifurcation.- Updating of a Model and its Uncertainties Utilizing Dynamic Test Data.- Section 2: Damage Analysis.- Identification of Structural Dynamic Systems by Sequential Prediction Error Method.- Computer and Test Aided Modelling and its Application to Identify Structural Damage.- The Effect of Model Uncertainty on the Accuracy of Global Nondestructive Damage Detection in Structures.- Evaluation of Maxium Softening as a Damage Indicator for Reinforced Concrete Under Seismic Excitation.- Section 3: Applied Reliability Analysis.- Empirical Formulae to Presume the Resistance Performance of High Speed Craft Models.- Computational Experience with Damage-Tolerant Optimization of Structural Systems.- On the Effect of Stochastic Imperfections on the Buckling Strength of Certain Structures.- Chaos, Stochasticity and Stability of a Nonlinear Oscillator with Control Part I: Analysis.- Chaos, Stochasticity, and Stability of a Nonlinear Oscillator with Control Part II: Simulation.- Section 4: Theoretical Random Vibrations.- Stochastic Response of Nonlinear Multi-Degrees-of-Freedom Structures Subjected to Combined Random Loads.- Moment Equations Approach to Nonstationary Responses of a Nonlinear System Subjected to Nonwhite Random Excitation.- The Path Integral Solution Technique Applied to the Random Vibration of Hysteretic Systems.- Non-Stationary Probabilistic Response of Linear Systems Under Non-Gaussian Input.- Stochastic Linearization for the Response of MDOF Systems Subjected to External and Parametric Gaussian Excitations.- Equivalent Linearization of a Newly Introduced General Hysteretic Model.- A Method for Solving the Diffusion Equation with Random Coefficients.- Response Statistics of Nonlinear Systems Under Variations of Excitation Bandwidth.- Stochastic Equivalent Linearization of Nonlinear Complex Structures.- Numerical Solution of the Fokker-Planck Equation for First Passage Probabilities.- Approximate Analysis of Nonstationary Random Vibrations of MDOF Systems.- Section 5: Stochastic Finite Element Concept.- First Order Reliability Analysis Using Stochastic Finite Element Methods.- Analysis of Two-Dimensional Stochastic Systems by the Weighted Integral Method.- Non Conservatively Loaded Stochastic Columns.- Section 6: Fatigue/Fracture.- Inspection Strategy for Deteriorating Structures Based on Cost Minimization Approach.- Probabilistic Approach to Cumulative Damage of Car Components.- Stochastic Two-Dimensional Fatigue Crack Growth Analysis Including the Effect of Crack Coalescence.- Stochastic Fatigue Damage in Welded Cruciforms.- Statistical Evaluation of the Distribution of Crack Propagation Fatigue Life by Simulating the Crack Growth Process.- Filter Technique for Stochastic Crack Growth.- Section 7: Monte Carlo Simulations.- Probabilistic Seismic Response Analysis of a Steel Frame Structure Using Monte Carlo Simulation.- Galerkin Method to Analyze Systems with Stochastic Flexural Rigidity.- Monte Carlo Simulation of Beams on Winkler Foundation.- Simulation of Multi-Variate Stationary and Nonstationary Random Processes: A Recent Development.- Optimality in the Estimation of a MA System from a Long AR Model.- Random Fields. Digital Simulation and Applications in Structural Mechanics.- Section 8: Earthquake Engineering Applications.- Stochastic Estimation of Orientation Error in Buried Seismometers.- Strains in Long Dams due to Spatially Correlated Random Ground Motions.- Seismic Reliability Assessment of Redundant Structural Systems.- Seismic Ground Strain Simulations for Pipeline Response Analysis.- Parametric Study of the Stochastic Seismic Response of Simple Nonlinear Structures.- Applications of Stochastic-Adaptive Filters in Earthquake Engineering.- Study of the Propagation and Amplification of Seismic Waves in Caracas Valley with Reference to the July 29, 1967 Earthquake Response.- Seismic Response of Stochastic Ground.- An Efficient Treatment of Model Uncertainties for the Dynamic Response of Structures.- Evaluation of Response Statistics of Moment Resisting Steel Frames under Seismic Excitation.- Section 9: Materials.- On Wavefront Propagation in Random Nonlinear Media.- A Stochastic Approach to the Rheology of Fibrous Systems.- Stability of Composite Structures with Random Material Imperfections.- Section 10: Applied Random Vibrations.- Thermally Forced Random Vibrations of Thick Plates.- Random Vibration of the Rigid Block.- Response of Non-linear Trusses with Spatial Variability under Random Excitations.- Nonlinear Effects on TLP Springing Response and Reliability.- Disordered Periodic Structures.- Response Statistics of a Nonlinear Coupled Oscillator Under Parametric Excitation.- Random Field Interpolation Between Point by Point Measured Properties.- Application of Dynamic Response Analysis in Calculation of Natural Frequencies.- Section 11: Applied Stochastic Finite Element Analysis.- Stochastic Eigenvalue Analysis by SFEM Code “SAINT”.- A Probabilistic Postbuckling Analysis of Composite Shells.- An Efficient SFEM Algorithm for Nonlinear Structures.- Stochastic Methods for Systems with Uncertain Properties under Plane Stress/Strain.- Section 12: Flow Related Applications and Chaotic Dynamics.- Nonlinear Response and Sonic Fatigue of High Speed Aircraft.- Necessary Condition for Homoclinic Chaos Induced by Additive Noise.- Authors’ Index.