Nonlinear Structural Systems Under Random Conditions: Colloquium Proceedings

The papers in this volume form a bridge between the mathematical and engineering theories in the application of stochastic differential equations. The engineering aspects are represented by a broad spectrum of potential applications and their heuristic or pragmatic approaches to a variety of problems. The mathematical aspects discuss the errors inherent in numerical procedures and provide appropriate theoretical frameworks. The 27 papers presented in this volume testify to the achievement of Euromech 250 in bringing engineers and mathematicians together in the successful dissemination of recent developments in nonlinear structural systems.

Table of Contents:
Sessions: I. Stability and Turbulence. The exact almost sure stability for a specific class of nonlinear Ito differential equations (F. Kozin, Z.Y. Zhang). Invariant measures and Lyapunov exponents for generalized parameter fluctuations (W.V. Wedig). II. Identification and Control. Maximum-likelihood approach in parametric identification of stochastic differential models of engineering systems (P. Kazimierczyk). Sequential parametric identification and response of hysteretic oscillators with random excitation (J.B. Roberts, A.H. Sadeghi). Feedback-feedforward control of structures under seismic excitation (J. Suhardjo et al.). III. Stochastic Computational Mechanics. Analysis of stochastic systems in continuum physics - Some developments of the stochastic adaptive interpolation method (R. Monaco et al.). Dynamics of a thin cylindrical shell under impact with limited deterministic information on its initial imperfections (I. Elishakoff, Y. Ben-Haim). Stochastic finite elements for crash problems (L. Faravelli, D. Bigi). Methods of distributions in the modelling of random vibrations (P. Kree). Romberg extrapolations for numerical schemes solving stochastic differential equations (D. Talay, L. Tubaro). IV. Random Vibrations. Approximation and generation of Gaussian and non-Gaussian stationary processes (D. Ammon). Simulation of wind loading and response of geometrically nonlinear structures with particular reference to large antennas (G. Augusti et al.). Dynamics of a single degree of freedom system with a unilateral obstacle (A. Baratta). Extreme distribution of mooring loads based on outcrossing methods (R. Cazzulo et al.). Random analysis of geometrically nonlinear FE modelled structures under seismic actions (M. Di Paola et al.). Dynamic response of nonlinear systems to Poisson distributed pulse trains: Markov approach (R. Iwankiewicz et al.). Special Sessions: Earthquake Engineering. A response surface technique for fuzzy-random evaluations of local seismic hazard (A. Corsanego, S. Lagomarsino). Structural rehabilitation - A semi-Markovian decision approach (E. Guagenti, C. Molina). Random excitation of a yielding cantilever: Approximate analysis versus simulations (H. Hayek et al.). Modeling of nonstationary ground motion and analysis of inelastic structural response (C.-H. Yeh, Y.K. Wen). Reliability. Slepian model: A new approach (P. Bernard). A probabilistic formulation of the damage evolution law (D. Breysse). Asymptotic first-passage time distributions in compound Poisson processes (O. Ditlevsen). Estimate of failure time of a nonlinear system with stochastic input (J. Grasman). Reliability of degrading dynamic systems (M. Grigoriu). Stochastic models of load effects for the primary ship structure (C. Guedes Soares). Reliability of hysteretic systems subjected to white noise excitation (S.R.K. Nielsen et al.). Nonlinear response analysis for reinforced concrete structures in China (Wei Lian). Author Index. Subject Index.