Nonlinear Stochastic Dynamic Engineering Systems: Iutam Symposium Innsbruck/Igls, Austria, June 21-26, 1987

ISBN-13: 9783642833366 / Angielski / Miękka / 2011 / 541 str.

Franz Ziegler; Gerhard I. Schueller

Opis

This symposium is the fifth in a series of IUTAM Symposia on the application of stochastic methods in mechanics. The general theme of this symposium is nonlinear stochastic dynamics of engineering systems. This is believed to be of great importance in providing the tools for basic development and progress in various fields of mechanical, structural, and aeronautical engineering, particularly in the areas of vehicle dynamics, multi-storey structural dynamics, systems identification, offshore structural dynamics, nuclear structures under various stochastic loading conditions (wind, earthquake, parametric excitations, etc.). The contributions collected in this volume cover a wide spectrum ranging from more theoretical, analytical, and numerical treatment to practical application in various fields.

Spis treści

Equivalent Linearization and Linearization Techniques.- Accuracy and Limitations of the Method of  Equivalent Linearization for Hysteretic Multi-Storey Structures.- On Equivalent Harmonic and Stochastic Linearization for Nonlinear Shock-Absorbers.- Approximate Analysis of Limit Cycles in the Presence of Stochastic Excitations.- The Method of Statistical Linearization for Non-Linear Stochastic Vibrations.- Statistical Dynamics of Vibroimpact Systems.- Linearization Techniques.- Van der Pol’s Oscillator Under Combined Periodic and Random Excitations.- A Nonlinear System Identification in the Analysis of Offshore Structure Dynamics in Random Waves.- Nonstationary Random Vibrations of Continuous Inelastic Structures Taking into Account the Finite Spread of Plastic Zones.- Stability Problems.- Stochastic Stability of Modes at Rest in Coupled Nonlinear Systems.- Mean Square Stability and Spectrum Identification of Nonlinear Stochastic Systems.- Stability of Linear Differential Systems with Parametric Excitation.- Stochastically Perturbed Bifurcations.- Lyapunov Exponents of Nonlinear Stochastic Systems.- Chaotic Motions.- Random Loading by Large Displacement Chaotic Motions.- Chaos in Nonlinear Systems Subjected to Small Random Perturbations.- Earthquake and Wind Related Problems.- Nonlinear Seismic Response of Reinforced Concrete Frames.- Bounded Random Oscillations: Model and Numerical Resolution for an Airfoil.- Simulation Techniques.- Nonlinear Dynamic Response and System Stochasticity.- Structural Integrity under Stochastic Loading in the Area of Small Probabilities.- Special Problems.- An Exact Solution of the Fokker-Planck Equation for Nonlinear Random Vibration of a Two-Degree-of-Freedom System.- A Stochastic Model for the Interaction of Plasticity and Creep in Metals.- Stochastic Analysis of One-Dimensional Nonlinear Wave Processes.- Closure and Stochastic Averaging Techniques.- Exact and Approximate Solutions for Response of Nonlinear Systems under Parametric and External White Noise Excitations.- Non-Gaussian Response of Nonlinear Oscillators with Fourth-Order Internal Resonance.- Nonlinear Random Vibrations of Compliant Offshore Platforms.- Application of Averaging Methods to Randomly Excited Hysteretic Systems.- Stochastic Averaging of Energy Envelope of Bilinear Hysteretic Systems.- A Closed Form Solution for a Class of Non-Stationary Nonlinear Random Vibration Problems.- Hysteretic Systems.- Stochastic Seismic Damage and Reliability Analysis of Hysteretic Structures.- Mean-Square Response of Hysteretic Oscillators under Nonstationary Random Excitation.- Nonlinear and Nonstationary Random Vibration of Hysteretic Systems with Application to Vehicle Dynamics.- Modal Analysis of Nonlinear Hysteretic Structures for Seismic Motions.- The Stochastic Response of Strongly Nonlinear Systems with Coulomb Damping Elements.- Identification of the Hysteresis Parameters of a Nonlinear Vehicle Suspension under Random Excitation.- Reliability Problems.- On the Solution of Several First Passage Problems in Nonlinear Stochastic Dynamics.- Nonlinear Random Vibration in Structural Safety and Performance Evaluation.- Reliability of Nonlinear Infilled Frame Systems with Uncertain Properties under Random Seismic Loading.- Statistical Performance Analysis of Nonlinear Joints in Space Structures.- Address of the Secretary-General of Iutam at the Closing Ceremony.- Appendix A: Scientific Program.- Appendix B: List of Participants.