IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics

1. Front Matter

   Pages i-xiii

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2. Experimental Random Excitation of Nonlinear Systems with Multiple Internal Resonances

   • A. A. Afaneh, R. A. Ibrahim

   Pages 1-10

3. Stochastic Stability of Viscoelastic Systems Under Bounded Noise Excitation

   • S. T. Ariaratnam

   Pages 11-18

4. Fixed Points and Attractors for Random Dynamical Systems

   • L. Arnold, B. Schmalfuss

   Pages 19-28

5. Nonlinear Wave Propagation in Complex Structures Modelled by Random Media with Self-Stresses

   • A. K. Belyaev, H. Irschik, F. Ziegler

   Pages 29-38

6. Stochastic Linearization and Large Deviations

   • P. Bernard

   Pages 39-46

7. Meandering Propagation of Fatigue Cracks through Solids with Randomly Distributed Properties

   • V. V. Bolotin

   Pages 47-58

8. The Study Of Bifurcations Through The Solution Of The Fokker-Planck Equation

   • F. Bontempi, L. Faravelli

   Pages 59-68

9. Spectral Response of a Beam-Stop System Under Random Excitation

   • R. Bouc, M. Defilippi

   Pages 69-78

10. Higher Order Approximations For Maxima Of Random Fields

    • K. Breitung

    Pages 79-88

11. Extension of The Stochastic Differential Calculus To Complex Processes

    • S. Caddemi, G. Muscolino

    Pages 89-98

12. Response of a Hysteretic System Under Non-Stationary Earthquake Excitations

    • G. Q. Cai, Y. K. Lin

    Pages 99-108

13. Nonlinear Active Control and Stochastic Excitation

    • F. Casciati

    Pages 109-116

14. Viscoplastic Responses With Stochastic Q-Damping Or Soil

    • G. Dasgupta

    Pages 117-126

15. Gaussian White Noise Excited Elasto-Plastic Oscillator of Several Degrees of Freedom

    • Ove Ditlevsen, Søren Randrup-Thomsen

    Pages 127-142

16. Fatigue Crack Growth Under Stochastic Loading

    • K. Doliński, P. Colombi

    Pages 143-152

17. Small Noise Expansion of Moment Lyapunov Exponents for Two-Dimensional Systems

    • M. M. Doyle, N. Sri Namachchivaya, L. Arnold

    Pages 153-168

18. Non-Perturbative Fem for Deterministic and Stochastic Beams Through Inverse of Stiffness Matrix

    • I. Elishakoff, Y. J. Ren, M. Shinozuka

    Pages 169-178

19. Strength and Serviceability Requirements in Seismic Design Using Nonlinear Sfem

    • L. Gao, A. Haldar, N. Shome

    Pages 179-188

20. Parametric Models And Stochastic Integrals

    • M. Grigoriu

    Pages 189-212

The IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics, held in Trondheim July 3-7, 1995, was the eighth of a series of IUTAM sponsored symposia which focus on the application of stochastic methods in mechanics. The previous meetings took place in Coventry, UK (1972), Sout'hampton, UK (1976), FrankfurtjOder, Germany (1982), Stockholm, Sweden (1984), Innsbruckjlgls, Austria (1987), Turin, Italy (1991) and San Antonio, Texas (1993). The symposium provided an extraordinary opportunity for scholars to meet and discuss recent advances in stochastic mechanics. The participants represented a wide range of expertise, from pure theoreticians to people primarily oriented toward applications. A significant achievement of the symposium was the very extensive discussions taking place over the whole range from highly theoretical questions to practical engineering applications. Several presentations also clearly demonstrated the substantial progress that has been achieved in recent years in terms of developing and implement­ ing stochastic analysis techniques for mechanical engineering systems. This aspect was further underpinned by specially invited extended lectures on computational stochastic mechanics, engineering applications of stochastic mechanics, and nonlinear active control. The symposium also reflected the very active and high-quality research taking place in the field of stochastic stability. Ten presentations were given on this topic ofa total of47 papers. A main conclusion that can be drawn from the proceedings of this symposium is that stochastic mechanics as a subject has reached great depth and width in both methodology and applicability.

• Degrees of freedom
• Fokker-Planck equation
• Gaussian process
• Maxima
• Optimal control
• algorithms
• correlation
• fatigue
• mechanics
• random dynamical system
• resonance
• simulation
• stability
• vibration
• wind

• Department of Structural Engineering, Norwegian University of Science and Technology, Trondheim, Norway

  A. Naess

• Division of Mechanics, Lund Institute of Technology, Lund University, Sweden

  S. Krenk

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