Computational Stochastic Mechanics

Front Matter....Pages i-xv
Front Matter....Pages 1-1
On Excursions of Non-Homogeneous Vector-Valued Gaussian Random Fields....Pages 3-13
Fitting-Adaptive Importance Sampling in Reliability Analysis....Pages 15-26
Exceedance Probabilities Under Various Combinations of Rare Events....Pages 27-38
Skewness and Kurtosis of Safety Margin....Pages 39-46
A Curve-Fitting Method of Combined Distribution in Probabilistic Modeling of Random Variables....Pages 47-58
On Procedures to Calculate the Reliability of Structural Systems under Stochastic Loading....Pages 59-69
The Sensitivity Analysis of Stochastic Hysteretic Dynamic Systems....Pages 71-79
Solution of Random Eigenvalue Problem by Crossing Theory and Perturbation....Pages 81-88
SORM Analysis Using Quasi-Newton Optimization....Pages 89-99
Method of Stochastic Linearization Revised and Improved....Pages 101-111
Maximal Lyapunov Exponent for a Stochastically Perturbed Co-Dimension Two Bifurcation....Pages 113-124
Updating of a Model and its Uncertainties Utilizing Dynamic Test Data....Pages 125-136
Front Matter....Pages 137-137
Identification of Structural Dynamic Systems by Sequential Prediction Error Method....Pages 139-148
Computer and Test Aided Modelling and its Application to Identify Structural Damage....Pages 149-155
The Effect of Model Uncertainty on the Accuracy of Global Nondestructive Damage Detection in Structures....Pages 157-168
Evaluation of Maxium Softening as a Damage Indicator for Reinforced Concrete Under Seismic Excitation....Pages 169-184
Front Matter....Pages 185-185
Empirical Formulae to Presume the Resistance Performance of High Speed Craft Models....Pages 187-198
Computational Experience with Damage-Tolerant Optimization of Structural Systems....Pages 199-210
On the Effect of Stochastic Imperfections on the Buckling Strength of Certain Structures....Pages 211-222
Chaos, Stochasticity and Stability of a Nonlinear Oscillator with Control Part I: Analysis....Pages 223-237
Front Matter....Pages 185-185
Chaos, Stochasticity, and Stability of a Nonlinear Oscillator with Control Part II: Simulation....Pages 239-252
Front Matter....Pages 253-253
Stochastic Response of Nonlinear Multi-Degrees-of-Freedom Structures Subjected to Combined Random Loads....Pages 255-265
Moment Equations Approach to Nonstationary Responses of a Nonlinear System Subjected to Nonwhite Random Excitation....Pages 267-278
The Path Integral Solution Technique Applied to the Random Vibration of Hysteretic Systems....Pages 279-291
Non-Stationary Probabilistic Response of Linear Systems Under Non-Gaussian Input....Pages 293-302
Stochastic Linearization for the Response of MDOF Systems Subjected to External and Parametric Gaussian Excitations....Pages 303-314
Equivalent Linearization of a Newly Introduced General Hysteretic Model....Pages 315-326
A Method for Solving the Diffusion Equation with Random Coefficients....Pages 327-334
Response Statistics of Nonlinear Systems Under Variations of Excitation Bandwidth....Pages 335-348
Stochastic Equivalent Linearization of Nonlinear Complex Structures....Pages 349-358
Numerical Solution of the Fokker-Planck Equation for First Passage Probabilities....Pages 359-370
Approximate Analysis of Nonstationary Random Vibrations of MDOF Systems....Pages 371-382
Front Matter....Pages 383-383
First Order Reliability Analysis Using Stochastic Finite Element Methods....Pages 385-394
Analysis of Two-Dimensional Stochastic Systems by the Weighted Integral Method....Pages 395-406
Non Conservatively Loaded Stochastic Columns....Pages 407-418
Front Matter....Pages 419-419
Inspection Strategy for Deteriorating Structures Based on Cost Minimization Approach....Pages 421-432
Probabilistic Approach to Cumulative Damage of Car Components....Pages 433-444
Stochastic Two-Dimensional Fatigue Crack Growth Analysis Including the Effect of Crack Coalescence....Pages 445-459
Stochastic Fatigue Damage in Welded Cruciforms....Pages 461-472
Statistical Evaluation of the Distribution of Crack Propagation Fatigue Life by Simulating the Crack Growth Process....Pages 473-483
Front Matter....Pages 419-419
Filter Technique for Stochastic Crack Growth....Pages 485-496
Front Matter....Pages 497-497
Probabilistic Seismic Response Analysis of a Steel Frame Structure Using Monte Carlo Simulation....Pages 499-510
Galerkin Method to Analyze Systems with Stochastic Flexural Rigidity....Pages 511-522
Monte Carlo Simulation of Beams on Winkler Foundation....Pages 523-532
Simulation of Multi-Variate Stationary and Nonstationary Random Processes: A Recent Development....Pages 533-544
Optimality in the Estimation of a MA System from a Long AR Model....Pages 545-556
Random Fields. Digital Simulation and Applications in Structural Mechanics....Pages 557-568
Front Matter....Pages 569-569
Stochastic Estimation of Orientation Error in Buried Seismometers....Pages 571-582
Strains in Long Dams due to Spatially Correlated Random Ground Motions....Pages 583-594
Seismic Reliability Assessment of Redundant Structural Systems....Pages 595-602
Seismic Ground Strain Simulations for Pipeline Response Analysis....Pages 603-614
Parametric Study of the Stochastic Seismic Response of Simple Nonlinear Structures....Pages 615-626
Applications of Stochastic-Adaptive Filters in Earthquake Engineering....Pages 627-635
Study of the Propagation and Amplification of Seismic Waves in Caracas Valley with Reference to the July 29, 1967 Earthquake Response....Pages 637-648
Seismic Response of Stochastic Ground....Pages 649-660
An Efficient Treatment of Model Uncertainties for the Dynamic Response of Structures....Pages 661-672
Evaluation of Response Statistics of Moment Resisting Steel Frames under Seismic Excitation....Pages 673-684
Front Matter....Pages 685-685
On Wavefront Propagation in Random Nonlinear Media....Pages 687-698
A Stochastic Approach to the Rheology of Fibrous Systems....Pages 699-711
Stability of Composite Structures with Random Material Imperfections....Pages 713-724
Front Matter....Pages 725-725
Thermally Forced Random Vibrations of Thick Plates....Pages 727-739
Random Vibration of the Rigid Block....Pages 741-752
Response of Non-linear Trusses with Spatial Variability under Random Excitations....Pages 753-764
Nonlinear Effects on TLP Springing Response and Reliability....Pages 765-776
Disordered Periodic Structures....Pages 777-788
Response Statistics of a Nonlinear Coupled Oscillator Under Parametric Excitation....Pages 789-800
Random Field Interpolation Between Point by Point Measured Properties....Pages 801-812
Application of Dynamic Response Analysis in Calculation of Natural Frequencies....Pages 813-823
Front Matter....Pages 825-825
Stochastic Eigenvalue Analysis by SFEM Code “SAINT”....Pages 827-838
A Probabilistic Postbuckling Analysis of Composite Shells....Pages 839-850
An Efficient SFEM Algorithm for Nonlinear Structures....Pages 851-862
Stochastic Methods for Systems with Uncertain Properties under Plane Stress/Strain....Pages 863-874
Front Matter....Pages 875-875
Nonlinear Response and Sonic Fatigue of High Speed Aircraft....Pages 877-888
Necessary Condition for Homoclinic Chaos Induced by Additive Noise....Pages 889-896
Back Matter....Pages 897-898