Nonlinear Dynamics in Engineering Systems: IUTAM Symposium, Stuttgart, Germany, August 21–25, 1989

✍ Scribed by S. T. Ariaratnam, Wei Chau Xie (auth.), Prof. Dr.-Ing. W. Schiehlen (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1990
• Tongue: English
• Leaves: 371
• Series: International Union of Theoretical and Applied Mechanics
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-XVIII
Lyapunov Exponents and Stochastic Bifurcations....Pages 1-8
Liapunov Stability Analysis for Control of Flexible Manipulators....Pages 9-16
Nonlinear Effects in Dynamics of Controlled Two-legged Walking....Pages 17-26
1/2 Subharmonic Resonance and Chaotic Motions in a Model of Elastic Cable....Pages 27-34
Nonlinear Dynamics of the Journal Bearing....Pages 35-42
Extended Results of Subharmonic Resonance Bifurcation of Nonlinear Mathieu Equation and Some Experimental Results....Pages 43-50
Evolution of Rigid Body Motions due to Dissipative Torques....Pages 51-57
Low Dimensional Behavior in Chaotic Nonplanar Motions of a Forced Elastic Rod: Experiment and Theory....Pages 59-66
Localized Buckling as Statical Homoclinic Soliton and Spacial Complexity....Pages 67-74
Dynamic Plasticity: Structural Drift and Modal Projections....Pages 75-82
Nonlinear Vibrations of Carbon Brushes Sustained by Thermoelastic Effects of the Slipring....Pages 83-90
Analysis of Dynamical Systems by Truncated Point Mappings and Cell Mapping....Pages 91-98
Effect of Constant Transverse Force on Chaotic Oscillations of Sinusoidally Excited Buckled Beam....Pages 99-106
Coexistence of Periodic Points and Chaos in a Nonlinear Discrete-Time System....Pages 107-116
Experimental and Analytical Investigation of Nonlinear Coupled Oscillators under Random Excitation....Pages 117-124
Fractal Properties of the Bouncing-Ball Dynamics....Pages 125-131
Analysis of Nonlinear Structural Vibrations by Normal Transform Theory....Pages 133-140
Crises in Mechanical Systems....Pages 141-148
New Instability Aspects for Nonlinear Nonconservative Systems with Precritical Deformation....Pages 149-157
The Exact Almost Sure Stability for a Specific Class of Non-Linear Ito Differential Equations....Pages 159-164
Some Aspects of the Analysis of Systems with Local Nonlinearities....Pages 165-172
Stochastic Model for Rattling in Gear-Boxes....Pages 173-180
Hopf Bifurcation in the Dynamics of a Rotor/Bearing System....Pages 181-188
Random Vibration of Hysteretic Systems....Pages 189-196
Spacial and Temporal Chaos in Elastic Continua....Pages 197-204
Indirect Measurement of Nonlinear Effects by State Observers....Pages 205-215
Chaotic Motion in Nonlinear System with Coulomb Damping....Pages 217-224
A Theoretical and Experimental Investigation of the Influence of Modal Interactions on the Nonlinear Response of Structures....Pages 225-232
Nonlinear Oscillations of Structures Induced by Dry Friction....Pages 233-240
Characterisation of Chaotic Regimes and Transitions in a Thermally-Driven, Rotating Stratified Fluid....Pages 241-248
Periodic Solutions of Nonlinear Dynamical Systems with Discontinuities....Pages 249-256
Integrated System for Numerical Analysis of Nonlinear Dynamics....Pages 257-263
Self-Similar Basin Boundary in a Continuous System....Pages 265-273
Global Nonlinear Oscillations and Onset of Chaos....Pages 275-280
On Symmetry Breaking Bifurcations: Local and Global Phenomena....Pages 281-288
The Supression of Chaos in Periodically Forced Oscillators....Pages 289-296
Dynamics of Dot-Matrix Printers....Pages 297-304
The Approximate Criteria for Chaos in Multi-well Potential Vibrating Systems....Pages 305-312
Loss of Engineering Integrity due to the Erosion of Absolute and Transient Basin Boundaries....Pages 313-320
Calculation of Stability Characteristics through Interpolated Mapping....Pages 321-328
Decay and Resonance of Coherent States....Pages 329-335
Analysis and Simulation of Nonlinear Stochastic Systems....Pages 337-344
Global Analysis of the Loss of Stability of a Special Railway Bogy....Pages 345-353
Bifurcations in a Hard Spring Duffing Oscillator....Pages 355-362

✦ Subjects

Mechanics;Appl.Mathematics/Computational Methods of Engineering;Engineering, general;Engineering Design;Machinery and Machine Elements;Civil Engineering