Ebook: Nonlinear Stochastic Mechanics: IUTAM Symposium, Turin, 1991

The Symposium, held in Torino (lSI, Villa Gualino) July 1-5, 1991 is the sixth of a series of IUTAM-Symposia on the application of stochastic analysis to continuum and discrete mechanics. The previous one, held in Innsbruck (1987), was mainly concentrated on qual­ itative and quantitative analysis of stochastic dynamical systems as well as on bifurcation and transition to chaos of deterministic systems. This Symposium concentrated on fundamental aspects (stochastic analysis and mathe­ matical methods), on specific applications in various branches of mechanics, engineering and applied sciences as well as on related fields as analysis of large systems, system identifica­ tion, earthquake prediction. Numerical methods suitable to provide quantitative results, say stochastic finite elements, approximation of probability distribution and direct integration of differential equations have also been the object of interesting presentations. Specific topics of the sessions have been: Engineering Applications, Equivalent Lineariza­ tion of Discrete Stochastic Systems, Fatigue and Life Estimation, Fluid Dynamics, Numerical Methods, Random Vibration, Reliability Analysis, Stochastic Differential Equations, System Identification, Stochastic Control. We are indebted to the IUTAM Bureau for having promoted and sponsored this Sympo­ sium and the Scientific Committee for having collaborated to the selection of participants and lecturers as well as to a prompt reviewing of the papers submitted for publication into these proceedings. A special thank is due to Frank Kozin: the organization of this meeting was for him ';ery important; he missed the meeting but his organizer ability was present.

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This volume contains papers presented at the IUTAM Symposium on Nonlinear Stochastic Mechanics held in Turin in July 1991. The symposium concentrated on fundamental aspects (stochastic analysis and mathematical methods), on specific applications in various branches of mechanics, engineering and applied sciences as well as on related fields such as analysis of large systems, system identification and earthquake prediction. Numerical methods suitable to provide quantitative results, e.g.stochastic finite elements, approximation of probability distribution and direct integration of differential equations are also presented. The topics of the session include Engineering Applications, Equivalent Linearization of Discrete Stochastic Systems, Fatigue and Life Estimation, Fluid Dynamics, Numerical Methods, Random Vibration, Reliability Analysis, Stochastic Differential Equations, System Identification and Stochastic Control.

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This volume contains papers presented at the IUTAM Symposium on Nonlinear Stochastic Mechanics held in Turin in July 1991. The symposium concentrated on fundamental aspects (stochastic analysis and mathematical methods), on specific applications in various branches of mechanics, engineering and applied sciences as well as on related fields such as analysis of large systems, system identification and earthquake prediction. Numerical methods suitable to provide quantitative results, e.g.stochastic finite elements, approximation of probability distribution and direct integration of differential equations are also presented. The topics of the session include Engineering Applications, Equivalent Linearization of Discrete Stochastic Systems, Fatigue and Life Estimation, Fluid Dynamics, Numerical Methods, Random Vibration, Reliability Analysis, Stochastic Differential Equations, System Identification and Stochastic Control.
Content:
Front Matter....Pages I-XIII
Statistical Linearization and Large Excitation of Nonlinear Stochastic Mechanical Systems....Pages 1-12
On the Localization Phenomenon in Randomly Disordered Engineering Structures....Pages 13-24
Nonlinear Dynamic Analysis of Cooling Towers under Stochastic Wind Loading....Pages 25-34
An Application to the Solution of the Fokker-Planck-Kolmogorov Equation for Non Linear Oscillators under Stochastic Loading....Pages 35-47
Robust Numerical Solution of the Transient Fokker-Planck Equation for Nonlinear Dynamical Systems....Pages 49-60
About Stochastic Linearization....Pages 61-70
Fatigue Life Estimation under Non-Stationary Stochastic Processes....Pages 71-81
Application of Nonlinear Stochastic Mechanics in Offshore Engineering....Pages 83-101
Estimation of Structural Reliability of Nonlinear Systems under Seismic Action....Pages 103-114
Engine Probabilistic Structural Analysis Methods Reliability/Certification....Pages 115-129
Seismic Reliability of Simple R/C Frames Designed According with the 1976 and 1987 Mexico City Codes....Pages 131-142
Stochastic Finite Element Analysis of Uncertain Nonlinear Trusses under Random Loadings....Pages 143-153
Stochastic Response on Non-Linear Systems under Parametric Non-Gaussian Agencies....Pages 155-166
On the Cross-Correlation Method for Identification of Modal Restoring Force Nonlinearity from Random Vibration Data....Pages 167-170
Stochastic Growth of Fatigue Crack under Constant Amplitude Loading....Pages 171-184
Equivalent Statistical Quadratization for Multi-Degree-of Freedom Nonlinear Systems....Pages 185-200
Comparison of the New Energy-Based Versions of the Stochastic Linearization Technique....Pages 201-212
Structural Reliability via Response Surface....Pages 213-223
Stochastic Analysis of a Beam on Random Foundation with Uncertain Damping Subjected to a Moving Load....Pages 225-236
Stochastic Aspects in Nonlinear Discrete Kinetic Theory....Pages 237-245
Random Motion of Particles in a Flow with Application to Groundwater Pollution....Pages 247-253
A Probability Consistent Closure Method....Pages 255-265
Probabilistic Methods to Waves in Heterogeneous Media....Pages 267-272
Solutions of Random Initial Value Problems....Pages 273-283
Large Amplitude Random Vibration of Polygonal Plates....Pages 285-296
Structural Model Bifurcation under Random Excitation....Pages 297-308
Approximate Analysis of Nonlinear Systems under Narrow Band Random Inputs....Pages 309-319
Maximum-Likelihood Parametric Identification Technique for Objects of Randomly Varying Structure....Pages 321-332
Controlling the Dynamics of a Random System....Pages 333-346
Structural Safety Control and Stochastic Aspects....Pages 347-354
Stochastic Computational Mechanics in Brittle Fracture and Fatigue....Pages 355-366
Flow of a Thin Liquid Film over a Rough Rotating Disk....Pages 367-378
Evaluation of a Stochastic Approach for Reliability Centered Maintenance Airframes....Pages 379-388
Random Flow-Induced Oscillations with Impacts of a Set of Coupled Pendulums....Pages 389-399
Response Statistics of Nonlinear Dynamic Systems by Path Integration....Pages 401-414
A Comprehensive Stationary Non-Gaussian Analysis of BWB Hysteresis....Pages 415-425
A Practical Approach to Predict the Stochastic Response on Many-DOF-Systems Modeled by Finite Elements....Pages 427-437
Distribution of the Response of Hysteretic Oscillators with Wide-Band Random Excitation....Pages 439-452
First Passage and Wave Density Analysis by Means of the Computer Package CROSSREG....Pages 453-463
Stochastic Stabilization by Multiplicative Noise....Pages 465-474
Random Seismic Response of Equipment on Hysteretic Structures....Pages 475-484
Analysis of Stochastic Systems Via Maximum Entropy Principle....Pages 485-497
System Identification of Nonlinear Dynamic Structures Based on Stochastic Time Series Model Fitting....Pages 499-509
Nonlinear Stochastic Mechanics in Structural Safety and Reliability Monitoring of Gas Lifelines....Pages 511-522
Simulation and Analysis of Mechanical Systems with Parameter Fluctuation....Pages 523-529
Optimal Aseismic Hybrid Control of Nonlinear and Hysteretic Structures using Velocity and Acceleration Feedbacks....Pages 531-541
Stochastic Excited Hamiltonian Systems....Pages 543-552

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This volume contains papers presented at the IUTAM Symposium on Nonlinear Stochastic Mechanics held in Turin in July 1991. The symposium concentrated on fundamental aspects (stochastic analysis and mathematical methods), on specific applications in various branches of mechanics, engineering and applied sciences as well as on related fields such as analysis of large systems, system identification and earthquake prediction. Numerical methods suitable to provide quantitative results, e.g.stochastic finite elements, approximation of probability distribution and direct integration of differential equations are also presented. The topics of the session include Engineering Applications, Equivalent Linearization of Discrete Stochastic Systems, Fatigue and Life Estimation, Fluid Dynamics, Numerical Methods, Random Vibration, Reliability Analysis, Stochastic Differential Equations, System Identification and Stochastic Control.
Content:
Front Matter....Pages I-XIII
Statistical Linearization and Large Excitation of Nonlinear Stochastic Mechanical Systems....Pages 1-12
On the Localization Phenomenon in Randomly Disordered Engineering Structures....Pages 13-24
Nonlinear Dynamic Analysis of Cooling Towers under Stochastic Wind Loading....Pages 25-34
An Application to the Solution of the Fokker-Planck-Kolmogorov Equation for Non Linear Oscillators under Stochastic Loading....Pages 35-47
Robust Numerical Solution of the Transient Fokker-Planck Equation for Nonlinear Dynamical Systems....Pages 49-60
About Stochastic Linearization....Pages 61-70
Fatigue Life Estimation under Non-Stationary Stochastic Processes....Pages 71-81
Application of Nonlinear Stochastic Mechanics in Offshore Engineering....Pages 83-101
Estimation of Structural Reliability of Nonlinear Systems under Seismic Action....Pages 103-114
Engine Probabilistic Structural Analysis Methods Reliability/Certification....Pages 115-129
Seismic Reliability of Simple R/C Frames Designed According with the 1976 and 1987 Mexico City Codes....Pages 131-142
Stochastic Finite Element Analysis of Uncertain Nonlinear Trusses under Random Loadings....Pages 143-153
Stochastic Response on Non-Linear Systems under Parametric Non-Gaussian Agencies....Pages 155-166
On the Cross-Correlation Method for Identification of Modal Restoring Force Nonlinearity from Random Vibration Data....Pages 167-170
Stochastic Growth of Fatigue Crack under Constant Amplitude Loading....Pages 171-184
Equivalent Statistical Quadratization for Multi-Degree-of Freedom Nonlinear Systems....Pages 185-200
Comparison of the New Energy-Based Versions of the Stochastic Linearization Technique....Pages 201-212
Structural Reliability via Response Surface....Pages 213-223
Stochastic Analysis of a Beam on Random Foundation with Uncertain Damping Subjected to a Moving Load....Pages 225-236
Stochastic Aspects in Nonlinear Discrete Kinetic Theory....Pages 237-245
Random Motion of Particles in a Flow with Application to Groundwater Pollution....Pages 247-253
A Probability Consistent Closure Method....Pages 255-265
Probabilistic Methods to Waves in Heterogeneous Media....Pages 267-272
Solutions of Random Initial Value Problems....Pages 273-283
Large Amplitude Random Vibration of Polygonal Plates....Pages 285-296
Structural Model Bifurcation under Random Excitation....Pages 297-308
Approximate Analysis of Nonlinear Systems under Narrow Band Random Inputs....Pages 309-319
Maximum-Likelihood Parametric Identification Technique for Objects of Randomly Varying Structure....Pages 321-332
Controlling the Dynamics of a Random System....Pages 333-346
Structural Safety Control and Stochastic Aspects....Pages 347-354
Stochastic Computational Mechanics in Brittle Fracture and Fatigue....Pages 355-366
Flow of a Thin Liquid Film over a Rough Rotating Disk....Pages 367-378
Evaluation of a Stochastic Approach for Reliability Centered Maintenance Airframes....Pages 379-388
Random Flow-Induced Oscillations with Impacts of a Set of Coupled Pendulums....Pages 389-399
Response Statistics of Nonlinear Dynamic Systems by Path Integration....Pages 401-414
A Comprehensive Stationary Non-Gaussian Analysis of BWB Hysteresis....Pages 415-425
A Practical Approach to Predict the Stochastic Response on Many-DOF-Systems Modeled by Finite Elements....Pages 427-437
Distribution of the Response of Hysteretic Oscillators with Wide-Band Random Excitation....Pages 439-452
First Passage and Wave Density Analysis by Means of the Computer Package CROSSREG....Pages 453-463
Stochastic Stabilization by Multiplicative Noise....Pages 465-474
Random Seismic Response of Equipment on Hysteretic Structures....Pages 475-484
Analysis of Stochastic Systems Via Maximum Entropy Principle....Pages 485-497
System Identification of Nonlinear Dynamic Structures Based on Stochastic Time Series Model Fitting....Pages 499-509
Nonlinear Stochastic Mechanics in Structural Safety and Reliability Monitoring of Gas Lifelines....Pages 511-522
Simulation and Analysis of Mechanical Systems with Parameter Fluctuation....Pages 523-529
Optimal Aseismic Hybrid Control of Nonlinear and Hysteretic Structures using Velocity and Acceleration Feedbacks....Pages 531-541
Stochastic Excited Hamiltonian Systems....Pages 543-552
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