Alexander Belyaev

Ardéshir Guran

In the past twenty years, the scientific community has witnessed a technological revolution in products and processes, from consumer goods to factory automation systems. This revolution is based on the integration, right from the design phase, of the best that current technology can offer in electronics, control systems, computers, structures and mechanics. The terms that have emerged, for the synergetic approach to design, and integration of sensors, actuators, computers, structures and mechanics, are OC structronicsOCO and OC mechatronicsOCO. Structronics can be viewed as an integration of mechatronic systems into structures, which emphasizes a synergistic integration beginning at fertilization. Similar to mechatronics (established in the 1980s), structronics is recognized as one of the essential technologies in the 21st century. This comprehensive reference book gives an overview of the current state of structronics and mechatronics in both structural/mechanical and material systems. Consisting of nine self-contained chapters, it presents recent developments and covers emerging topics in the field. The key features include: . OCo treatment of the nonholonomic variables in robotics. OCo attenuation of fluid flow pulsation in hydraulic systems. OCo presentation of mathematical modeling and experiments on complex nonlinear dynamics of washing machines. OCo a survey of research findings in hydraulic gap control of rolling mills. OCo detailed description of mathematical modeling and nonlinear control of a temper controlling mill. OCo applications of high frequency dynamics in engineering structures. OCo development of novel computational methods to include plasticity and damage in flexible multibody systems. OCo new trends in optimal design of engineering structures. OCo a review of ionic polymer metal composites (IPMCs) as sensors, actuators and artificial muscles. Selected Topics in Structronics and Mechatronic Systems will be of interest to engineers, materials scientists, physicists and applied mathematicians. Contents: On the Use of Nonholonomic Variables in Robotics (H Bremer); Compensators for the Attenuation of Fluid Flow Pulsations in Hydraulic Systems (J Mikota); Some Aspects of Washing Complex Nonlinear Dynamics (M BolteAcentsar); Analysis and Nonlinear Control of Hydraulic Systems in Rolling Mills (R M Novak); Mathematical Modeling and Nonlinear Control of a Temper Rolling Mill (S Fuchshumer et al.); Combining Continuous and Discrete Energy Approaches to High Frequency Dynamics of Structures (A K Belyaev); Computational Methods for Elasto-Plastic Multibody Systems (J Gerstmayr); New Trends in Optimal Structural Control (K G Arvanitis et al.); Ionic PolymerOCoConductor Composites (IPCC) as Biomimietic Sensors, Actuators and Artificial Muscles (M Shahinpoor & A Guran). Readership: Engineers, materials scientists, physicists and applied mathematicians."

Selected Topics in Structronics and Mechatronic Systems

Dieter Guicking

Francesco Mainardi

Adrianus De Hoop

The interaction of acoustic fields with submerged elastic structures, both by propagation and scattering, is being investigated at various institutions and laboratories world-wide with ever-increasing sophistication of experiments and analysis. This book offers a collection of contributions from these research centers that represent the present state-of-the-art in the study of acoustic elastic interaction, being on the cutting edge of these investigations. This includes the description of acoustic scattering from submerged elastic objects and shells by the Resonance Scattering Theory of Flax, Dragonette and Überall, and the interaction of these phenomena in terms of interface waves. It also includes the use of this theory for the purpose of inverse scattering, i.e. the determination of the scattered objects properties from the received acoustic backscattered signals. The problem of acoustically excited waves in inhomogeneous and anisotropic materials, and of inhomogeneous propagating waves is considered. Vibrations and resonances of elastic shells, including shells with various kinds of internal attachments, are analyzed. Acoustic scattering experiments are described in the time domain, and on the basis of the Wigner–Ville distribution. Acoustic propagation in the water column over elastic boundaries is studied experimentally both in laboratory tanks, and in the field, and is analyzed theoretically. Ultrasonic nondestructive testing, including such aspects like probe modelling, scattering by various types of cracks, receiving probes and calibration by a side-drilled hole is also studied in details. A comprehensive picture of these complex phenomena and other aspects is presented in the book by researchers that are experts in each of these domains, giving up-to-date accounts of the field in all these aspects. Contents:Three Dimensional Underwater Sound Propagation Over Sloping Bottoms (S A L Glegg & J M Riley)Modeling of Sound Propagation Over a Shear-Supporting Sediment Layer and Substrate (J I Arvelo et al.)Propagation of Acoustic Pulses in Layered Media (P P Delsanto et al.)Response of a Vibrating Structure to a Turbulent Flow Wall Pressure: Fluid-Loaded Structure Modes Series and Boundary Element Method (P J T Filippi & D Mazzoni)Plane Evanescent Waves and Interface Waves (F Luppé et al.)Application of Wavelet Analysis to Inverse Scattering (W Tobocman)Application of Time-Frequency Analysis to the Characterization of Acoustical Scattering (M E Zakharia et al.)Acoustical Resonance Scattering Theory for Strongly Overlapping Resonances (H Peine & D Guicking)Inverse Scattering Based on the Resonances of the Target (P P Delsanto et al.)Modern Developments in the Theory and Application of Classical Scattering (M F Werby & N A Sidorovskaia)Modeling and Ultrasonic Measurements of Damage (A Gérard)Some Aspects of Nonlinear Wave Propagation (A Jeffrey) Readership: Nonlinear scientists. keywords: “… Überall's work in acoustic and electromagnetic scattering has evoked much interest, in the US as well as abroad, because of its possible practical applications, as well as the theoretical understanding. Many collaborators have been inspired by it, and have now contributed to this volume. The book is an excellent contribution to the literature of Acoustics and Wave Propagation. Professor Guran is to be congratulated for organizing and editing this volume.” Prof. Hans A Bethe Nobel Laureate Cornell University “This highly interesting collection of papers makes a valuable addition to the acoustics literature.” Applied Acoustics “… This is an impressive collection of 45 research and review chapters involving 78 authors. Taking into account the high educational quality and research value of this set of books, it is recommended for purchase by libraries that serves research programs involved with acoustic scattering related to underwater and ultrasonics.” Professor Philip Marston Journal of the Acoustical Society of America

Part III: Acoustic Propagation and Scattering, Wavelets and Time Frequency Analysis

Acoustic Interactions with Submerged Elastic Structures

This book is a collection of papers on the subject of nonlinear dynamics and its applications written by experts in this field. It offers the reader a sampling of exciting research areas in this fast-growing field. The topics covered include chaos, tools to analyze motions, fractal boundaries, dynamics of the Fitzhugh-Nagumo equation, structural control, separation of contaminations from signal of interest, parametric excitation, stochastic bifurcation, mode localization in repetitive structures, Toda lattice, transition from soliton to chaotic motion, nonlinear normal modes, noise perturbations of nonlinear dynamical systems, and phase locking of coupled limit cycle oscillators. Mathematical methods include Lie transforms, Monte Carlo simulations, stochastic calculus, perturbation methods and proper orthogonal decomposition. Applications include gyrodynamics, tether connected satellites, shell buckling, nonlinear circuits, volume oscillations of a large lake, systems with stick-slip friction, imperfect or disordered structures, overturning of rigid blocks, central pattern generators, flow induced oscillations, shape control and vibration suppression of elastic structures. All of these diverse contributions have a common thread: the world of nonlinear behavior. Although linear dynamics is an invaluable tool, there are many problems where nonlinear effects are essential. Some examples include bifurcation of solutions, stability of motion, the effects of large displacements, and subharmonic resonance. This book shows how nonlinear dynamics is currently being utilized and investigated. It will be of interest to engineers, applied mathematicians and physicists. Contents:Stability of In-Phase and Out-of-Phase Modes for a Pair of Linearly Coupled van der Pol Oscillators (D W Storti & P G Reinhall)Perturbation Methods for Strongly Nonlinear Oscillators Using Lie Transforms (V T Coppola)Momentum Transfer in Torque-Free Gyrostats (C D Hall)The (Almost) Complete Dynamics of the FitzHugh Nagumo Equations (D Armbruster)Excitable Oscillators as Models for Central Pattern Generators (D Taylor et al.)Solitons, Chaos and Modal Interactions in Periodic Structures (M A Davies & F C Moon)Two Applications of Nonlinear Normal Modes in Vibration Analysis (M E King et al.)Friction as a Nonlinearity in Dynamics: A Historical Review (B Fenny & A Guran)A Quasiperiodic Mathieu Equation (R Rand et al.) Readership: Engineers, applied mathematicians and physicists. keywords:Nonlinear Dynamics;Richard Rand;Fitzhugh-Nagumo Equation;Soliton;Chaotic Motion;Lie Transforms;Monte Carlo;Stochastic Calculus “… not only it is beautifully done in recognition of an accomplished scientist and educator, but I was rewarded with an opportunity to read original materials by world-renowned authorities on nonlinear dynamics, including P Holmes, F C Moon, D Armbruster, A H Cohen, R H Rand, D W Storti, P G Reinhall, V T Coppola, A Guran, B Feeny, M E King, A F Vakakis, C D Hall, and M A Davis. The prize-winning article, in my opinion, is the chapter on ‘Friction as a Nonlinearity in Dynamics’, coauthored by Professors Brian Feeny and Ardeshir Guran. It is an exciting, informative, and deep historical essay written by two excellent researchers and talented writers. The book is highly recommended to practitioners in nonlinear dynamics, including physicists, mathematicians, and engineers.” Professor Isaac Elishakoff Florida Atlantic University, USA

Ardéshir Guran

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