Nonlinear Stochastic Mechanics

1. Front Matter

   Pages I-XIII

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2. Statistical Linearization and Large Excitation of Nonlinear Stochastic Mechanical Systems

   • Dong Anh Nguyen, Ralf Krause, Werner Schiehlen

   Pages 1-12

3. On the Localization Phenomenon in Randomly Disordered Engineering Structures

   • S. T. Ariaratnam, Wei-Chau Xie

   Pages 13-24

4. Nonlinear Dynamic Analysis of Cooling Towers under Stochastic Wind Loading

   • G. Augusti, C. Borri, W. Zahlten

   Pages 25-34

5. An Application to the Solution of the Fokker-Planck-Kolmogorov Equation for Non Linear Oscillators under Stochastic Loading

   • A. Baratta, G. Zuccaro

   Pages 35-47

6. Robust Numerical Solution of the Transient Fokker-Planck Equation for Nonlinear Dynamical Systems

   • L. A. Bergman, B. F. Spencer Jr.

   Pages 49-60

7. About Stochastic Linearization

   • P. Bernard

   Pages 61-70

8. Fatigue Life Estimation under Non-Stationary Stochastic Processes

   • Matěj Bílý, Vladimir Kliman

   Pages 71-81

9. Application of Nonlinear Stochastic Mechanics in Offshore Engineering

   • Peter Bjerager, Ivar Langen, Steven R. Winterstein, Tom Marthinsen, Daniel Karunakaran

   Pages 83-101

10. Estimation of Structural Reliability of Nonlinear Systems under Seismic Action

    • V. V. Bolotin

    Pages 103-114

11. Engine Probabilistic Structural Analysis Methods Reliability/Certification

    • C. C. Chamis

    Pages 115-129

12. Seismic Reliability of Simple R/C Frames Designed According with the 1976 and 1987 Mexico City Codes

    • M. Chavez, D. Gonzalez

    Pages 131-142

13. Stochastic Finite Element Analysis of Uncertain Nonlinear Trusses under Random Loadings

    • Rwey-Hua Cherng, Yi-Kwei Wen

    Pages 143-153

14. Stochastic Response on Non-Linear Systems under Parametric Non-Gaussian Agencies

    • M. Di Paola, G. Falsone

    Pages 155-166

15. On the Cross-Correlation Method for Identification of Modal Restoring Force Nonlinearity from Random Vibration Data

    • M. F. Dimentberg, A. A. Sokolov

    Pages 167-170

16. Stochastic Growth of Fatigue Crack under Constant Amplitude Loading

    • Krzysztof Doliński

    Pages 171-184

17. Equivalent Statistical Quadratization for Multi-Degree-of Freedom Nonlinear Systems

    • M. G. Donley, P. D. Spanos

    Pages 185-200

18. Comparison of the New Energy-Based Versions of the Stochastic Linearization Technique

    • Isaac Elishakoff, Ruichong Zhang

    Pages 201-212

19. Structural Reliability via Response Surface

    • L. Faravelli

    Pages 213-223

20. Stochastic Analysis of a Beam on Random Foundation with Uncertain Damping Subjected to a Moving Load

    • L. Fryba, S. Nakagiri, N. Yoshikawa

    Pages 225-236

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.

• Nichtlineare Mechanik
• Random Vibrations
• Reliability Analysis
• Stochastic Methods
• Stochastik
• Technische Zuverlässigkeit
• dynamics
• finite elements
• mechanics
• nonlinear mechanics
• oscillation

• Dept. of Mathematics, Politecnico di Torino, Torino, Italy

  Nicola Bellomo

• Dept. of Structural Mechanics, University of Pavia, Pavia, Italy

  Fabio Casciati

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