The interest of the applied mechanics community in chaotic dynamics of engineering systems has exploded in the last fifteen years, although research activity on nonlinear dynamical problems in mechanics started well before the end of the Eighties. It developed first within the general context of the classical theory of nonlinear oscillations, or nonlinear vibrations, and of the relevant engineering applications. This was an extremely fertile field in terms of formulation of mechanical and mathematical models, of development of powerful analytical techniques, and of understanding of a number of basic nonlinear phenomena. At about the same time, meaningful theoretical results highlighting new solution methods and new or complex phenomena in the dynamics of deterministic systems were obtained within dynamical systems theory by means of sophisticated geometrical and computational techniques. In recent years, careful experimental studies have been made to establish the actual occurrence and observability of the predicted dynamic phenomena, as it is vitally needed in all engineering fields. Complex dynamics have been shown to characterize the behaviour of a great number of nonlinear mechanical systems, ranging from aerospace engineering applications to naval applications, mechanical engineering, structural engineering, robotics and biomechanics, and other areas. The International Union of Theoretical and Applied Mechanics grasped the importance of such complex phenomena in the Eighties, when the first IUTAM Symposium devoted to the general topic of nonlinear and chaotic dynamics in applied mechanics and engineering was held in Stuttgart (1989).
İçerik tablosu
Bifurcation, Chaos and Control.- Chaotic Clocks: A Paradigm for the Evolution of Noise in Machines.- Explorations into the Nonlinear Dynamics of a Single DOF System Coupled to a Wideband Auto-Parametric Vibration Absorber.- Adaptive Partial Observers with Application to Time-Varying Chaotic Systems.- Nonlinear Dynamics of a Heavy Material Particle along a Circle Which Rotates and Optimal Control.- Bifurcation and Chaos in Mechanical Applications: A Dynamical Systems Approach to Their Control.- Nonlinear Normal Modes and Chaotic Motions in Oscillatory Chains.- Patterns of Bifurcation Suppressing Escape at Internal Resonance.- Mechanical Systems.- Spatial Motion of CVT-Chains.- Nonlinear Phenomena in Microelectromechanical Resonators.- Dynamics and Parametric Identification of Geared Rotordynamic Systems.- Global Bifurcations of Nonlinear Thermoelastic Microbeams Subject to Electrodynamic Actuation.- Nonlinear Interaction in MHD Bearings under Oscillating Electric Fields.- Parametrically Excited MEMS-Based Filters.- The Chaotic Oscillations of High-Speed Milling.- On the Dynamics of a Railway Freight Wagon Wheelset with Dry Friction Damping.- Structural Systems.- Post-Critical Finite, Planar Dynamics of a Circular Arch: Experimental and Theoretical Characterization of Transitions to Nonregular Motions.- Phase Space Warping.- Time Integration Techniques to Investigate the Long-Term Behaviour of Dissipative Structural Systems.- Identification and Construction of Reduced Order Models for Infinite-Dimensional Systems in Nonlinear Elastodynamics.- The Non-Linear Dynamics of Thin Walled Shell Structures.- Influence of Boundary Conditions Relaxation on Panel Flutter.- Solutions of a Shallow Arch under Fast and Slow Excitations.- Nonlinear Oscillations of a Buckled Mechanism usedas a Vibration Isolator.- Nonsmooth Dynamics.- Nonsmooth Dynamics of a Double-Belt Friction Oscillator.- Corner-Collision and Grazing-Sliding.- Dynamics of Discontinuous Systems with Imperfections and Noise.- Stick-Slip Whirl Interaction in Drillstring Dynamics.- The Mapping Dynamics of a Three-Piecewise Linear System under a Periodic Excitation.- Two Dimensional Map for Impact Oscillator with Drift.- Dynamics of Mechanical Systems with Soft Impacts.- Nonlinear Dynamics of Non-Smooth Mechanical Systems: Theoretical and Experimental Studies.- Delay and Random Systems.- Global Dynamics of a Duffing System with Delayed Velocity Feedback.- Noise-Induced Synchronization and Stochastic Resonance in a Bistable System.- Delay Equations with Fluctuating Delay: Application to Variable Speed Machining.- Vertical Dynamics of Riding Cars under Stochastic and Harmonic Base Excitations.- Control of Systems and Processes.- A Delayed-Position Feedback Controller for Cranes.- Controlled Motions of Multibody Systems along a Plane.- Active Damping of Spatio-Temporal Dynamics of Drill-Strings.- Dynamic Vibration Absorber for Friction Induced Oscillations.- Control of Limit Cycle Oscillations.- Optimal Control of Retrieval of a Tethered Subsatellite.- Passive Vibration Control by Nonlinear Energy Pumping.- Motion Control of an Underactuated Manipulator by Using High-Frequency Excitation.- Chaos Control and Synchronization.- Control and Synchronization of Homoclinic Chaos.- Methods and Examples of Controlling Chaos in Mechanical Systems.- The Largest Lyapunov Exponent of Dynamical Systems with Time Delay.
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