The subject of this book is model abstraction of dynamical systems. The p- mary goal of the work embodied in this book is to design a controller for the mobile robotic car using abstraction. Abstraction provides a means to rep- sent the dynamics of a system using a simpler model while retaining important characteristics of the original system. A second goal of this work is to study the propagation of uncertain initial conditions in the framework of abstraction. The summation of this work is presented in this book. It includes the following: * An overview of the history and current research in mobile robotic control design. * A mathematical review that provides the tools used in this research area. * The development of the robotic car model and both controllers used in the new control design. * A review of abstraction and an extension of these ideas into new system relationship characterizations called traceability and -traceability. * A framework for designing controllers based on abstraction. * An open-loop control design with simulation results. * An investigation of system abstraction with uncertain initial conditions.

When you listen to music at home, you would like to have an acoustic impression close to being in the concert hall. This is achieved by an advanced two-loudspeaker technique and electronic handling of the signals. The way to head-related sound reproduction and reception to get the original impression is explained in this comprehensive book on the outer influence of hearing and how to achieve perfect stereo effects. The book also introduces a theory of drift thresholds.

A Solid Introduction to Sound and Vibration: No Formal Background Needed This Second Edition of Fundamentals of Sound and Vibration covers the physical, mathematical and technical foundations of sound and vibration at audio frequencies. It presents Acoustics, vibration, and the associated signal processing at a level suitable for graduate students or practicing engineers with having no prior formal training in the field. The book is a coherent textbook based on the first semester of the master's program in Sound and Vibration Studies at the internationally acclaimed Institute of Sound and Vibration Research at the University of Southampton. New in the Second Edition: The latest edition has been extensively revised and updated, with a new introductory chapter and new chapters on the measurement of sound and vibration. Other chapters include fundamentals of acoustics, fundamentals of vibration, signal processing, noise control, human response to sound and human response to vibration; many of these have been substantially revised. Example problems and answers for self-study are included. The revised text: Offers a brief summary on the importance of sound and vibration Considers the vibration of mechanical structures, ranging from simple SDOF models to continuous systems Highlights the aspects of signal processing commonly used for data analysis Addresses engineering noise control, and more Fundamentals of Sound and Vibration, Second Edition provides you with broad coverage of sound, vibration and signal processing in a single volume, and serves as a reference for both graduate students and practicing engineers.

The aim of this International Symposium on Dynamics of Vibro-Impact Systems is to provide a forum for the discussion of recent developments in the theory and industrial applications of vibro-impact ocean systems. A special effort has been made to invite active researchers from engineering, science, and applied mathematics communities. This symposium has indeed updated engineers with recent analytical developments of vibro-impact dynamics and at the same time allowed engineers and industrial practitioners to alert mathematicians with their unresolved issues. The symposium was held in Troy, Michigan, during the period October 1-3, 2008. It included 28 presentations grouped as follows: The first group comprises of nine papers dealing with the interaction of ocean systems with slamming waves and floating ice. It also covers related topics such as sloshing-slamming dynamics, and non-smooth dynamics associated with offshore structures. Moreover, it includes control issues pertaining to marine surface vessels. The second group consists of fifteen papers treats the interaction of impact systems with friction and their control, Hertzian contact dynamics, parameter variation in vibro-impact oscillators, random excitation of vibro-impact systems, vibro-impact dampers, oscillators with a bouncing ball, limiting phase trajectory corresponding to energy exchange between the oscillator and external source, frequency-energy distribution in oscillators with impacts, and discontinuity mapping. The third group is covered in four papers and addresses some industrial applications such as hand-held percussion machines, rub-impact dynamics of rotating machinery, impact fatigue in joint structures.

This introductory book covers the most fundamental aspects of linear vibration analysis for mechanical engineering students and engineers. Consisting of five major topics, each has its own chapter and is aligned with five major objectives of the book. It starts from a concise, rigorous and yet accessible introduction to Lagrangian dynamics as a tool for obtaining the governing equation(s) for a system, the starting point of vibration analysis. The second topic introduces mathematical tools for vibration analyses for single degree-of-freedom systems. In the process, every example includes a section Exploring the Solution with MATLAB. This is intended to develop student's affinity to symbolic calculations, and to encourage curiosity-driven explorations. The third topic introduces the lumped-parameter modeling to convert simple engineering structures into models of equivalent masses and springs. The fourth topic introduces mathematical tools for general multiple degrees of freedom systems, with many examples suitable for hand calculation, and a few computer-aided examples that bridges the lumped-parameter models and continuous systems. The last topic introduces the finite element method as a jumping point for students to understand the theory and the use of commercial software for vibration analysis of real-world structures.

Gain a Unique and Comprehensive Understanding of UltrasonicsDespite its importance, most books on ultrasonics cover only very specific sub-fields of the science. They generally also take a more mathematical approach and lack the wider scope needed to truly improve understanding and facilitate practical use of ultrasonics across a wide range of disciplines. Create Efficient Systems for Any Environment Ultrasonics Data covers the science, technology, and application of ultrasonics. It discusses everything from sensors to systems, dealing primarily with both low- and high-intensity industrial and medical ultrasonic applications. It presents data and functions from different areas of science and technology to help readers better comprehend and more effectively use ultrasound energy. Starting with relevant basic ultrasonic equations, the authors explore the application of finite elements to the design of vibrating bars, horns, plates, rings, large horns, and blades. They analyze properties and design data applicable to piezoelectric materials and transducers, as well as magnetostrictive, pneumatic, and liquid transducers. The book examines the mechanical and physical properties of materials, including those necessary for welding and forming. Using practical applications, the book explores the chemical properties and compatibilities of materials, and the chemical effects of ultrasound. There is also information on nondestructive testing applications and the modern equipment used to carry them out, including electromagnetic acoustic transducers (EMATs) and lasers. A "Big-Picture" Focus on Practical Data and Principles Versatile as a reference for engineers, researchers, and graduate students, this book summarizes the history of ultrasonics, projects future advances, and evaluates the practicality of new ideas. Helping system designers meet the requirements of present and future developments, it covers a range of applications to inspire new innovations using ultrasonics.

When a mechanical system has two or more coupled vibrating components, the vibration of one of the components may destabilize the motion of the others. This destabilization effect, autoparametric resonance, is a concept that has important engineering applications. This book is the first completely devoted to the subject of autoparametric resonance in an engineering context. Using the tools of nonlinear analysis, the authors show how to carry out the first crucial step of determining the regions of parameter space where the semi-trivial solution is unstable. They describe what happens in these regions and then discuss non-trivial solutions and their stability. This text will appeal to graduate students and researchers in engineering and applied mathematics.

Whole Body Vibrations: Physical and Biological Effects on the Human Body allows an understanding about the qualities and disadvantages of vibration exposure on the human body with a biomechanical and medical perspective. It offers a comprehensive range of principles, methods, techniques and tools to provide the reader with a clear knowledge of the impact of vibration on human tissues and physiological processes. The text considers physical, mechanical and biomechanical aspects and it is illustrated by key application domains such as sports and medicine. Consisting of 11 chapters in total, the first three chapters provide useful tools for measuring, generating, simulating and processing vibration signals. The following seven chapters are applications in different fields of expertise, from performance to health, with localized or global effects. Since unfortunately there are undesirable effects from the exposure to mechanical vibrations, a final chapter is dedicated to this issue. Engineers, researchers and students from biomedical engineering and health sciences, as well as industrial professionals can profit from this compendium of knowledge about mechanical vibration applied to the human body. Provides biomechanical and medical perspectives to understanding the qualities and disadvantages of vibration exposure on the human body Offers a range of principles, methods, techniques, and tools to evaluate the impact of vibration on human tissues and physiological processes Explores mechanical vibration techniques used to improve human performance Discusses the strong association between health and human well-being Explores physical, mechanical, and biomechanical aspects of vibration exposure in domains such as sports and medicine

This text offers a clear and refreshing exposition of the dynamics of mechanical systems from an engineering perspective. The author thoroughly covers basic concepts and applies them in a systematic manner to solve problems in mechanical systems with applications to engineering. Numerous illustrative examples accompany all theoretical discussions, and each chapter offers a wealth of homework problems. The treatment of the kinematics of particles and rigid bodies is extensive. In this new edition the author has revised and reorganized sections to enhance understanding of physical principles, and he has modified and added examples, as well as homework problems. The new edition also contains a thorough development of computational methods for solving the differential equations of motion for constrained systems. Seniors and graduate students in engineering will find this book to be extremely useful. Solutions manual available.

Acoustics of Fluid-Structure Interactions addresses an increasingly important branch of fluid mechanics--the absorption of noise and vibration by fluid flow. This subject, which offers numerous challenges to conventional areas of acoustics, is of growing concern in places where the environment is adversely affected by sound. Howe presents useful background material on fluid mechanics and the elementary concepts of classical acoustics and structural vibrations. Using examples, many of which include complete worked solutions, he vividly illustrates the theoretical concepts involved. He provides the basis for all calculations necessary for the determination of sound generation by aircraft, ships, general ventilation and combustion systems, as well as musical instruments. Both a graduate textbook and a reference for researchers, Acoustics of Fluid-Structure Interactions is an important synthesis of information in this field. It will also aid engineers in the theory and practice of noise control.

This book contains an edited versIOn of lectures presented at the NATO ADVANCED STUDY INSTITUTE on VIRTUAL NONLINEAR MUL TIBODY SYSTEMS which was held in Prague, Czech Republic, from 23 June to 3 July 2002. It was organized by the Department of Mechanics, Faculty of Mechanical Engineering, Czech Technical University in Prague, in cooperation with the Institute B of Mechanics, University of Stuttgart, Germany. The ADVANCED STUDY INSTITUTE addressed the state of the art in multibody dynamics placing special emphasis on nonlinear systems, virtual reality, and control design as required in mechatronics and its corresponding applications. Eighty-six participants from twenty-two countries representing academia, industry, government and research institutions attended the meeting. The high qualification of the participants contributed greatly to the success of the ADVANCED STUDY INSTITUTE in that it promoted the exchange of experience between leading scientists and young scholars, and encouraged discussions to generate new ideas and to define directions of research and future developments. The full program of the ADVANCED STUDY INSTITUTE included also contributed presentations made by participants where different topics were explored, among them: Such topics include: nonholonomic systems; flexible multibody systems; contact, impact and collision; numerical methods of differential-algebraical equations; simulation approaches; virtual modelling; mechatronic design; control; biomechanics; space structures and vehicle dynamics. These presentations have been reviewed and a selection will be published in this volume, and in special issues of the journals Multibody System Dynamics and Mechanics of Structures and Machines.

Structural vibrations have become the critical factor limiting the performance of many engineering systems, typical amplitudes ranging from meters to a few nanometers. Many acoustic nuisances in transportation systems and residential and office buildings are also related to structural vibrations. The active control of such vibrations involves nine orders of magnitude of vibration amplitude, which exerts a profound influence on the technology. Active vibration control is highly multidisciplinary, involving structural vibration, acoustics, signal processing, materials science, and actuator and sensor technology.

Chapters 1-3 of this book provide a state-of-the-art introduction to active vibration control, active sound control, and active vibroacoustic control, respectively. Chapter 4 discusses actuator/sensor placement, Chapter 5 deals with robust control of vibrating structures, Chapter 6 discusses finite element modelling of piezoelectric continua and Chapter 7 addresses the latest trends in piezoelectric multiple-degree-of-freedom actuators/sensors. Chapters 8-12 deal with example applications, including semi-active joints, active isolation and health monitoring. Chapter 13 addresses MEMS technology, while Chapter 14 discusses the design of power amplifiers for piezoelectric actuators.

This monograph summarizes the recent achievements made in the field of iterative learning control. The book is self-contained in theoretical analysis and can be used as a reference or textbook for a graduate level course as well as for self-study. It opens a new avenue towards a new paradigm in deterministic learning control theory accompanied by detailed examples.

This book shows how the engineering and architectural aspects of submarine design relate to each other, and describes the operational performance required of a vessel. The authors explain concepts of hydrodynamics, structure, powering and dynamics, in addition to architectural considerations that bear on the submarine design process. They pay particular attention to the interplay among these aspects of design, and devote a final chapter to the generation of the concept design for the submarine as a whole. Submarine design makes extensive use of computers, and the authors give examples of algorithms used in concept design. They provide engineering insight as well as an understanding of the intricacies of the submarine design process. The book will serve as a text for students and as a reference manual for practicing engineers and designers in marine and naval engineering.

This book contains a selection of the papers presented at the 3rd NCN Workshop which was focused on "Dynamics, Bifurcations and Control". The peer-reviewed papers describe a number of ways how dynamical systems techniques can be applied for analysis and design problems in control with topics ranging from bifurcation control via stability and stabilizaton to the global dynamical behaviour of control systems. The book gives an overview of the current status of the field.

The aim of the present book is to present theoretical nonlinear aco- tics with equal stress on physical and mathematical foundations. We have attempted explicit and detailed accounting for the physical p- nomena treated in the book, as well as their modelling, and the f- mulation and solution of the mathematical models. The nonlinear acoustic phenomena described in the book are chosen to give phy- cally interesting illustrations of the mathematical theory. As active researchers in the mathematical theory of nonlinear acoustics we have found that there is a need for a coherent account of this theory from a unified point of view, covering both the phenomena studied and mathematical techniques developed in the last few decades. The most ambitious existing book on the subject of theoretical nonlinear acoustics is "Theoretical Foundations of Nonlinear Aco- tics" by O. V. Rudenko and S. I. Soluyan (Plenum, New York, 1977). This book contains a variety of applications mainly described by Bu- ers' equation or its generalizations. Still adhering to the subject - scribed in the title of the book of Rudenko and Soluyan, we attempt to include applications and techniques developed after the appearance of, or not included in, this book. Examples of such applications are resonators, shockwaves from supersonic projectiles and travelling of multifrequency waves. Examples of such techniques are derivation of exact solutions of Burgers' equation, travelling wave solutions of Bu- ers' equation in non-planar geometries and analytical techniques for the nonlinear acoustic beam (KZK) equation.

This book discusses statistical applications of wavelet theory for use in signal and image processing. The emphasis is on smoothing by wavelet thresholding and extended methods. Wavelet thresholding is an example of non-linear and non-parametric smoothing. The first part discusses theoretical and practical issues concerned with minimum risk thresholding and fast threshold estimation, using generalized cross validation. The extensions in later chapters consider possibilities to exploit three key properties of wavelets in statistics: sparsity, multiresolution, and locality. The author discusses original contributions to problems of correlated noise, scale dependent processing, Bayesian algorithms with geometrical priors (Markov random fields), non-equispaced data, and many other extensions. The point of view lies on the bridge between statistics, signal and image processing, and approximation theory, and the book is accessible for researchers from all of these fields. Most of the material has in mind applications in signal or image processing, and signals and images are used extensively in the illustrations. Nevertheless, the algorithms are quite general in the sense that they could also serve in other regression problems. The book also pays attention to fast algorithms, and Matlab code reproducing many of the illustrations is available for free. Maarten Jansen received a Ph.D. in applied mathematics from the Katholieke Universiteit Leuven, Belgium, in 2000 and currently he is a postdoctoral fellow with the Belgian Foundation for Scientific Research (FWO). He has been a visiting researcher at several institutes, including Stanford University, Bristol University, and Rice University.

Most of the existing strong motion instrumentation on civil engineering structures is installed and operated as federal, state, university, industry or private applications, in many cases operated as a closed system. This hampers co-operation and data exchange, hampering the acquisition of strong motion and structural data, sometimes even within a single country. There is a powerful need to inform engineers of existing strong motion data and to improve the accessibility of data worldwide. This book will play a role in fulfilling such a need by disseminating state-of-the art information, technology and developments in the strong motion instrumentation of civil engineering structures. The subject has direct implications for the earthquake response of structures, improvements in design for earthquake resistance, and hazard mitigation. Readership: Researchers in earthquake engineering, engineers designing earthquake resistant structures, and producers of strong motion recording equipment.

Modal analysis is one of the most powerful tools available to the engineer for the dynamic analysis of structures. Development has been rapid and spans the identification and evaluation of vibration phenomena, the validation, correction and updating of analytical models and the assessment of structural integrity. The texts assembled here form a coheren t work. After a first chapter on the fundamentals of modal analysis, the reader is introduced to signal processing and the basic rules of exchange and analysis of dynamic information. The derivation of theoretical models for modal analysis is then addressed, followed by three chapters on the different approaches to the derivation of models based in the identification of experimental data: time domain, frequency domain and pseudo-testing. This leads to the discussion of updating analytical models and to model quality assessment techniques. Further topics treated include damage detection and evaluation, structural modification, damping modelling, and the normalisation of complex modes. Less well-known topics are also included: active control of structures, acoustic modal analysis and neural networks for modal analysis, advanced optimization methods of model updating, modal analysis for rotating machinery, and nonlinearity in modal analysis.

This book contains most, but regrettably not all, the papers that were presented at the Advanced Research Study Institute, ASI, held at the Fantasia Hotel, Kusadasi, Turkey, July 26 - August 8, 1998. A powerful incentive to the development of vortex physics in superconductors, that has began with Abrikosov Vortices in Shubnikov's Mixed State, was realized after the discovery of the high-Tc superconductivity. Indeed, a number of the most intriguing phenomena and states of the flux line lattice are observed in high-Tc superconducting materials due to their high anisotropy, intrinsically layered crys- tal structure, extremely small coherence length and the possibility of coexistence of superconducting vortex states with high-energy thermal fluctuation. These pe- culiarities are demonstrated as the 2D flux line lattice of point-vortices (pan- cakes), Josephson vortices or strings in parallel and/or tilted magnetic fields, flux line lattice melting into vortex liquid and its freezing into vortex "solid" (e. g. , crystal-or glass-like) state. It is well known, that the main reason for conditioning of the vortex ensemble state and behavior (except the extrinsic factors, such as applied magnetic field or temperature) is a set of intrinsic/extrinsic superconduct- ing material properties caused by the crystal nature and symmetry, atoms ar- rangement, anisotropy, as well as by the spectrum of crystal defects, their dimen- sions, arrangement and density.

The asymptotic analysis of boundary value problems in parameter-dependent domains is a rapidly developing field of research in the theory of partial differential equations, with important applications in electrostatics, elasticity, hydrodynamics and fracture mechanics. Building on the work of Ciarlet and Destuynder, this book provides a systematic coverage of these methods in multi-structures, i.e. domains which are dependent on a small parameter e in such a way that the limit region consists of subsets of different space dimensions. An undergraduate knowledge of partial differential equations and functional analysis is assumed.

This book is for those interested in dynamical systems. It assumes a solid undergraduate training in mathematics. Geometrical methods are developed to study the process of iteration, which involves taking the output of a function and feeding it back as input. Iteration processes are used to produce fractals and wavelets, and to numerically approximate solutions to ordinary and partical differential equations. Each iteration procedure generates a discrete dynamical system. These systems are at the heart of many numerical algorithms. Essentially all mathematical models of evolving physical systems can be viewed as discrete dynamical systems. This book attempts to present the fundamental ideas of discrete dynamical systems as clearly and geometrically as possible. Illustrative examples of dynamical systems are presented in the first chapter. The second chapter gives a review of the typology of metric spaces. The third presents basic results and establishes a philosophy of dynamics which is strongly influenced by the work of Charles Conley. The stable manifold and local structural stability theorems are presented in the fourth chapter. Invariant sets and isolating blocks are defined in the fifth. The sixth develops what is called the Conley Index in the context of discrete dynamics, and the final chpater covers measure-preserving and symplectic maps. The book would be suitable for use as a main text for a graduate course in dynamical systems, and as a reference for engineers and scientists.

Geodynamics concerns the dynamics of the earth's global motion, of the earth's interior motion and its interaction with surface features, together with the mechanical processes in the deformation and rupture of geological structures. Its final object is to determine the driving mechanism of these motions. It is highly interdisciplinary. In providing the basic geological, geophysical infromation required for a comprehensive mechanical analysis, there are also many mechanical problems involved, which means the problem is coupled intricately with geophysics, rock mechanics, seismology, structural geology, etc. This is Part II of the Proceedings of an IUTAM/IASPEI Symposium on Mechanics Problems in Geodynamics held in Beijing, September 1994. It discusses different aspects of mechanics problems in geodynamics involving the earth's rotation, tectonic analyses of various parts of the world, mineral physics and flow in the mantle, seismic source studies and wave propagation and application of the DDA method in tectonic analysis.

This supplement of Mikrochimica Acta contains selected papers from the Fourth Workshop of the European Microanalysis Society (EMAS) on "Modern Develop- ments and Applications in Microbeam Analysis" which took place in May 1995 in Saint Malo (France). EMAS was founded in 1986 by members from almost all european countries in order to stimulate research, applications and development of all forms of microbeam methods. One important EMAS activity is the organisation of biennial workshops for demonstrating the current status and developing trends of microanalytical techniques. For this meeting, EMAS chose to highlight the following topics: Monte-Carlo simula- tions, transport calculations and use of soft X-rays for electron probe microanalysis (EPMA), dynamic secondary ion mass spectrometry (SIMS), detection of small quan- tities using different techniques: synchrotron radiation X-ray fluorescence, particle in- duced X-ray emission (PIXE), cathodoluminescence microscopy (CL). Two new kinds of instrumental techniques were also presented: atomic probe and scanning probe microscopy (STM). The aim of the conference is to give introductory lectures corresponding to the topics of the meeting and to have contributions in the form of po- ster sessions. More than 80 posters were presented. Most of them gave a short oral pre- sentation. The poster subjects were related to the use of microanalytical techniques: EPMA with wavelength dispersive spectrometry (WDS) and energy dispersive spec- trometry (EDS), Auger electron spectrometry (AES), secondary ion mass spectro- metry (SIMS), scanning electron microscopy and other topographical methods like scanning tunneling microscopy (STM) or atomic force microscopy (AFM).

Base isolation, passive energy dissipation and active control represent three innovative technologies for protection of structures under environmental loads. Increasingly, they are being applied to the design of new structures or to the retrofit of existing structures against wind, earthquakes and other external loads. This book, with contributions from leading researchers from Japan, Europe, and the United States, presents a balanced view of current research and world-wide development in this exciting and fast expanding field. Basic principles as well as practical design and implementational issues associated with the application of base isolation systems and passive and active control devices to civil engineering structures are carefully addressed. Examples of structural applications are presented and extensively discussed.