Theory and Application of Statistical Energy Analysis


Book Description

This up-to-date second edition provides a comprehensive examination of the theory and application of Statistical Energy Analysis (SEA) in acoustics and vibration. Complete with examples and data taken from real problems this unique book also exploresthe influence of computers on SEA and emphasizes computer based SEA calculations. In addition to a discussion of the relationship between SEA and other procedures used in response estimation, Theory and Application of Statistical Energy Anlaysis, SecondEdition, explores the basic relationships between model and wave descriptions of systems.




Statistical Energy Analysis


Book Description

This 1997 volume provides an overview of statistical energy analysis and its applications in structural vibration. Statistical energy analysis is a powerful method for predicting and analysing the vibrational behaviour of structures. Its main use is for structures that can be considered as assemblies of interconnected subsystems which are subject to medium to high frequency vibration sources. This volume brings together nine articles by experts from around the world. The opening chapter gives an introduction and overview of the technique describing its key successes, potential and limitations. Following chapters look in more detail at a selection of cases and examples which together illustrate the scope and power of the technique. This book is based on a Royal Society Philosophical Transactions issue under the title 'Statistical Energy Analysis', but an extra chapter, by Chohan, Price, Keane and Beshara, discussing nonconservatively coupled systems is included in this edition.




IUTAM Symposium on Statistical Energy Analysis


Book Description

This volume is a record of the proceedings of the Symposium on Statistical Energy Analysis (SEA) held at the University of Southampton in July 1997 which was held under the auspices of the International Union of Theoretical and Applied Mechanic~. Theoretical SEA is form of modelling the vibrational and acoustical behaviour of complex mechanical systems which has undergone a long period of gestation before recent maturation into a widely used engineering design and analysis tool which is supported by a rapidly growing supply of commercial software. SEA also provides a framework for associated experimental measurement procedures, data analysis and interpretation. Under the guidance of the members of a distinguished International Scientific Committee, participants were individually invited from the broad spectrum of 'SEAfarers', including academics, consultants, industrial engineers, software developers and research students. The Symposium aimed to reflect the balance of world-wide activity in SEA, although some eminent members of the SEA community were, sadly, unable to attend. In particular, Professor Richard Lyon and Dr Gideon Maidanik, two of the principal originators of SEA, were sorely missed. This publication contains copies of all the papers presented to the Symposium together with a summary of the associated discussions which contains valuable comments upon the contents of the formal papers together with the views of participants on some fundamental issues which remain to be resolved.




Foundation of Statistical Energy Analysis in Vibroacoustics


Book Description

This book provides an in-depth study of the foundations of statistical energy analysis, with a focus on examining the statistical theory of sound and vibration. In the modal approach, an introduction to random vibration with application to complex systems having a large number of modes is provided. For the wave approach, the phenomena of propagation, group speed, and energy transport are extensively discussed. Particular emphasis is given to the emergence of the diffuse field, the central concept of the theory. All important notions are gradually introduced—-making the text self-contained—-to lead the reader to the ultimate result of `coupling power proportionality' and the concept of `vibrational temperature'. Further key topics include the analogy between thermodynamics and sound vibration. Applications are concerned with random vibration in mass—spring resonators, strings, beams, rods, and plates but also reverberation in room acoustics, radiation of sound, and sound response.




Dynamics of Very High Dimensional Systems


Book Description

Many books on dynamics start with a discussion of systems with one or two degrees of freedom and then turn to the generalization to the case of many degrees of freedom. For linear systems, the concept of eigenfunctions provides a compact and elegant method for decomposing the dynamics of a high dimensional system into a series of independent single-degree-of-freedom dynamical systems. Yet, when the system has a very high dimension, the determination of the eigenfunctions may be a distinct challenge, and when the dynamical system is nonconservative and/or nonlinear, the whole notion of uncoupled eigenmodes requires nontrivial extensions of classical methods. These issues constitute the subject of this book.




Vibro-Acoustics, Volume 2


Book Description




Active and Passive Vibration Damping


Book Description

A guide to the application of viscoelastic damping materials to control vibration and noise of structures, machinery, and vehicles Active and Passive Vibration Damping is a practical guide to the application of passive as well as actively treated viscoelastic damping materials to control vibration and noise of structures, machinery and vehicles. The author — a noted expert on the topic — presents the basic principles and reviews the potential applications of passive and active vibration damping technologies. The text presents a combination of the associated physical fundamentals, governing theories and the optimal design strategies of various configurations of vibration damping treatments. The text presents the basics of various damping effective treatments such as constrained layers, shunted piezoelectric treatments, electromagnetic and shape memory fibers. Classical and new models are included as well as aspects of viscoelastic materials models that are analyzed from the experimental characterization of the material coefficients as well as their modeling. The use of smart materials to augment the vibration damping of passive treatments is pursued in depth throughout the book. This vital guide: Contains numerical examples that reinforce the understanding of the theories presented Offers an authoritative text from an internationally recognized authority and pioneer on the subject Presents, in one volume, comprehensive coverage of the topic that is not available elsewhere Presents a mix of the associated physical fundamentals, governing theories and optimal design strategies of various configurations of vibration damping treatments Written for researchers in vibration damping and research, engineers in structural dynamics and practicing engineers, Active and Passive Vibration Damping offers a hands-on resource for applying passive as well as actively treated viscoelastic damping materials to control vibration and noise of structures, machinery and vehicles.




Energy Flow Theory of Nonlinear Dynamical Systems with Applications


Book Description

This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing’s oscillator, Van der Pol’s equation, Lorenz attractor, Rössler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory and methods.