Riassunto
The International Union of Theoretical and Applied Mechanics (IUTAM) initiated and sponsored an International Symposium on Nonlinear Dynamics in Engineering Systems held in 1989 in Stuttgart, FRG. The Symposium was intended to bring together scientists working in different fields of dynamics to exchange ideas and to discuss new trends with special emphasis on nonlinear dynamics in engineering systems. A Scientific Committee was appointed by the Bureau of IUTAM with the following members: S. Arimoto (Japan), F.L. Chernousko (USSR), P.J. Holmes (USA), C.S. Hsu (USA), G. looss (France), F.C. Moon (USA), W. Schiehlen (FRG), Chairman, G. Schmidt (GDR), W. Szemplinska-Stupnicka (Poland), J.M.T. Thompson (UK), H. Troger (Austria). This committee selected the participants to be invited and the papers to be presented at the Symposium. As a result of this procedure 78 active scientific participants from 22 countries followed the invitation, and 44 papers were presented in lecture and poster sessions. They are collected in this volume. At the Symposium an exhibition with experiments took place and the movie "An Introduction to the Analysis of Chaotic Dynamics" by E.J. Kreuzer et.al. was presented. The scientific lectures were devoted to the following topics: o Dynamic Structural Engineering Problems, o Analysis of Nonlinear Dynamic Systems, o Bifurcation Problems, o Chaotic Dynamics and Control Problems, o Miscellaneous Problems, o Experimental and Theoretical Investigations, o Chaotic Oscillations of Engineering Systems, o Characterization of Nonlinear Dynamic Systems, o Nonlinear Stochastic Systems.
Contenuti
Lyapunov Exponents and Stochastic Bifurcations.- Liapunov Stability Analysis for Control of Flexible Manipulators.- Nonlinear Effects in Dynamics of Controlled Two-legged Walking.- 1/2 Subharmonic Resonance and Chaotic Motions in a Model of Elastic Cable.- Nonlinear Dynamics of the Journal Bearing.- Extended Results of Subharmonic Resonance Bifurcation of Nonlinear Mathieu Equation and Some Experimental Results.- Evolution of Rigid Body Motions due to Dissipative Torques.- Low Dimensional Behavior in Chaotic Nonplanar Motions of a Forced Elastic Rod: Experiment and Theory.- Localized Buckling as Statical Homoclinic Soliton and Spacial Complexity.- Dynamic Plasticity: Structural Drift and Modal Projections.- Nonlinear Vibrations of Carbon Brushes Sustained by Thermoelastic Effects of the Slipring.- Analysis of Dynamical Systems by Truncated Point Mappings and Cell Mapping.- Effect of Constant Transverse Force on Chaotic Oscillations of Sinusoidally Excited Buckled Beam.- Coexistence of Periodic Points and Chaos in a Nonlinear Discrete-Time System.- Experimental and Analytical Investigation of Nonlinear Coupled Oscillators under Random Excitation...- Fractal Properties of the Bouncing-Ball Dynamics.- Analysis of Nonlinear Structural Vibrations by Normal Transform Theory.- Crises in Mechanical Systems.- New Instability Aspects for Nonlinear Nonconservative Systems with Precritical Deformation.- The Exact Almost Sure Stability for a Specific Class of Non-Linear Ito Differential Equations.- Some Aspects of the Analysis of Systems with Local Nonlinearities.- Stochastic Model for Rattling in Gear-Boxes.- Hopf Bifurcation in the Dynamics of a Rotor/Bearing System.- Random Vibration of Hysteretic Systems.- Spacial and Temporal Chaos in Elastic Continua.- Indirect Measurement of Nonlinear Effects by State Observers.- Chaotic Motion in Nonlinear System with Coulomb Damping.- A Theoretical and Experimental Investigation of the Influence of Modal Interactions on the Nonlinear Response of Structures.- Nonlinear Oscillations of Structures Induced by Dry Friction.- Characterisation of Chaotic Regimes and Transitions in a Thermally-Driven, Rotating Stratified Fluid.- Periodic Solutions of Nonlinear Dynamical Systems with Discontinuities.- Integrated System for Numerical Analysis of Nonlinear Dynamics.- Self-Similar Basin Boundary in a Continuous System.- Global Nonlinear Oscillations and Onset of Chaos.- On Symmetry Breaking Bifurcations: Local and Global Phenomena.- The Supression of Chaos in Periodically Forced Oscillators.- Dynamics of Dot-Matrix Printers.- The Approximate Criteria for Chaos in Multi-well Potential Vibrating Systems.- Loss of Engineering Integrity due to the Erosion of Absolute and Transient Basin Boundaries.- Calculation of Stability Characteristics through Interpolated Mapping.- Decay and Resonance of Coherent States.- Analysis and Simulation of Nonlinear Stochastic Systems.- Global Analysis of the Loss of Stability of a Special Railway Bogy.- Bifurcations in a Hard Spring Duffing Oscillator.
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