Viscoelastic damping is becoming widely applied for vibration and noise control in various industries, the most notable examples being aerospace, automotive, computer peripherals and propulsion. A recent review of the literature shows that many engineers are still applying the technology without having a good understanding of the basic underlying principles or the means of describing and measuring the damping parameters.

The comprehensive book introduces simple and effective approaches for describing the damping related properties of viscoelastic materials, with emphasis on the effects of frequency and temperature, and proceeds to illustrate simple techniques for measuring the desired properties and for selecting and applying the materials. In all cases, the need for simplicity in practical applications is emphasized.

Particular topics addressed in some detail include:

• the complex modulus model of viscoelastic behaviour
• effects of frequency and temperature on stiffness and damping of viscoelastic materials
• combination of frequency and temperature into a single variable
• analysis and evaluation of the quality of available test data by means of the Wicket Plot
• simple means of meauring stiffness and damping of viscoelastic materials
• simple approaches for design of treatments for practical structural applications

Durability of Industrial Composites offers numerical and quantitative solutions to long-term composite failures that are useful to practicing engineers, researchers, and students. All modes of laminate long-term failure are contemplated, with resin toughness and environmental conditions considered. The book develops a simple unified equation to compute the load-dependent durability of laminates under the simultaneous action of cyclic and static loads. The load-independent durability and residual life of equipment immersed in corrosive chemicals are also discussed. The book presents a full discussion of the elusive strain-corrosion mode of failure as well as a complete solution to the durability issue of underground sanitation pipes. The currently accepted durability parameters of HDB, Sb and Sc are discarded as incorrect and replaced with the appropriate threshold parameters. The entirely new concept of the "anomalous failure" is fully discussed and solved. The effects of overpressure and spike strains, as well as of the operating temperature and moisture, are quantitatively evaluated and illustrated in numerical examples.

Provides Typical Abstract Representations of Different Steps for Analyzing Any Dynamic System Vibration and dynamics are common in everyday life, and the use of vibration measurements, tests, and analyses is becoming standard for various applications. Vibration Analysis, Instruments, and Signal Processing focuses on the basic understanding of vibration measurements and analysis. This book covers different areas of vibration measurements and analysis needed in practice, and discusses theory, application, and a variety of methods, in a simplified way. It communicates the fundamental principles of all three facets of vibration-based analysis, and highlights four major points-theory, instruments, experiments, and signal processing. Useful for everyday work, the book dedicates several chapters to the day-to-day requirements involved in vibration measurements and analysis, and addresses a number of topics useful for many day-to-day analyses and experiments. The book provides experimental examples in each chapter-considering basic theories and analysis methods, instrumentations and signal processing methods, and combined analysis-as well as experimental approaches and case studies. In addition, it dedicates a complete chapter to case studies relating the basic theory, types of instruments and measurements needed, and requisite signal processing that ultimately result in a final diagnosis. Consisting of ten chapters, this informative text: Provides the basic understanding and concept of the vibration theory, mathematical modeling of structures and machines using the finite element (FE) method, and the vibration response computation using the FE model for the load applied Discusses a simplified vibration theory through a single degree of freedom (SDOF) system of a mass and a spring Introduces the concept of FE modeling at a very basic level through a few simple examples Explores how the equation of motion in matrix form for any system can be integrated to solve for the responses at all DOFs due to the time-varying external loadings Developed for diverse audiences interested in vibration analysis, this book is suitable for every level of student, engineer, and scientist associated with vibration, structural and rotor dynamics, vibration-based diagnosis, and vibration-based condition monitoring.

Explore a Unified Treatment of the Finite Element Method The finite element method has matured to the point that it can accurately and reliably be used, by a careful analyst, for an amazingly wide range of applications. With expanded coverage and an increase in fully solved examples, the second edition of Finite Element Analysis: Thermomechanics of Solids presents a unified treatment of the finite element method in theremomechanics, from the basics to advanced concepts. An Integrated Presentation of Critical Technology As in the first edition, the author presents and explicates topics in a way that demonstrates the highly unified structure of the finite element method. The presentation integrates continuum mechanics and relevant mathematics with persistent reliance on variational and incremental-variational foundations. The author exploits matrix-vector formalisms and Kronecker product algebra to provide transparent and consistent notation throughout the text. Nearly twice as long as the first edition, this second edition features: Greater integration and balance between introductory and advanced material Increased number of fully solved examples Selected developments in numerical methods, detailing accelerating computations in eigenstructure extraction, time integration, and stiffness matrix triangularization More extensive coverage of the arc length method for nonlinear problems Expanded and enhanced treatment of rotating bodies and buckling Provides Sophisticated Understanding of Capabilities and Limitations This new edition of a popular text includes significant illustrative examples and applications, modeling strategies, and explores a range

Almost all books available on fracture mechanics cover the majority of topics presented in this book, and often much, much more. While great as references, this makes teaching from them more difficult because the materials are not typically presented in the order that most professors cover them in their lectures and more than half the information presented is not covered in an introductory course at all.

Focusing on the needs of students and professors, Fundamentals of Fracture Mechanics offers an introduction to the discipline through careful editing and mindfulness toward the audience. The book begins with a review of the fundamentals of continuum mechanics and the theory of elasticity relevant to fracture mechanics. The following material has been carefully selected, only including topics important enough to be covered in a first course on fracture mechanics. Except for the last chapter, no advanced topics are covered. Therefore, instructors of elementary fracture mechanics courses can easily cover the entire book in a three-unit graduate-level course without having to spend too much time picking and choosing appropriate topics for the course from the vast knowledge presented in most fracture mechanic books available today.

Drawing on over 20 years of teaching, the author supplies practical and useful resources, including practice exercises designed to facilitate enjoyable learning and reference for further study. His clear, concise coverage of essential information makes the book ideal not only for an introductory course but also for self-study.

This is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems.

This reference tutorial contains modern experimental approaches to analysis of strain-stress distribution based on interference-optical methods of registration of strain or displacement fields, including coherent-optical techniques (holographic interferometry, speckle photography, electronic digital speckle interferometry techniques) and photoelastic methods as well as the shadow optical method of caustic. The book describes the theory, efficient scope of application in the every-day practice and the problems of further development of these techniques. Much attention is paid to new and promising advanced developments in the field of observation and computational methods for study of residual stress, determination of fracture mechanics parameters and material deformation characteristics. The content corresponds to the course of lectures delivered by the author at the N.E. Bauman Moscow State Technical University. It is intended for technical university students, research engineers and postgraduate students who are doing analysis of strain-stress state and strength of structural elements.

Since the publication of the first edition, considerable progress has been made in the development and application of active noise control (ANC) systems, particularly in the propeller aircraft and automotive industries. Treating the active control of both sound and vibration in a unified way, this second edition of Active Control of Noise and Vibration continues to combine coverage of fundamental principles with the most recent theoretical and practical developments. What's New in This Edition Revised, expanded, and updated information in every chapter Advances in feedforward control algorithms, DSP hardware, and applications Practical application examples of active control of noise propagating in ducts The use of a sound intensity cost function, model reference control, sensing radiation modes, modal filtering, and a comparison of the effectiveness of various sensing strategies New material on feedback control of sound transmission into enclosed spaces New material on model uncertainty, experimental determination of the system model, optimization of the truncated model, collocated actuators and sensors, biologically inspired control, and a discussion of centralised versus de-centralised control A completely revised chapter on control system implementation New material on parametric array loudspeakers, turbulence filtering, and virtual sensing More material on smart structures, electrorheological fluids, and magnetorheological fluids Integrating the related disciplines of active noise control and active vibration control, this comprehensive two-volume set explains how to design and implement successful active control systems in practice. It also details the pitfalls one must avoid to ensure a reliable and stable system.

Controlling a system's vibrational behavior, whether for reducing harmful vibrations or for enhancing useful types, is critical to ensure safe and economical operation as well as longer structural and equipment lifetimes. A related issue is the effect of vibration on humans and their environment. Achieving control of vibration requires thorough understanding of system behavior, and Vibration Monitoring, Testing, and Instrumentation provides a convenient, thorough, and up-to-date source of tools, techniques, and data for instrumenting, experimenting, monitoring, measuring, and analyzing vibration in a variety of mechanical and structural systems and environments.
Drawn from the immensely popular Vibration and Shock Handbook, each expertly crafted chapter of this book includes convenient summary windows, tables, graphs, and lists to provide ready access to the important concepts and results. The authors give equal emphasis to the theoretical and practical aspects, supplying methodologies for analyzing shock, vibration, and seismic behavior. They thoroughly review instrumentation and testing methods such as exciters, sensors, and LabVIEW(r) tools for virtual instrumentation as well as signal acquisition, conditioning, and recording. Illustrative examples and case studies accompany a wide array of industrial and experimental techniques, analytical formulations, and design approaches. The book also includes a chapter on human response to vibration.
Vibration Monitoring, Testing, and Instrumentation supplies a thorough understanding of the concepts, tools, instruments, and techniques you need to know before the design process begin

Delineating a comprehensive theory, Advanced Vibration Analysis provides the bedrock for building a general mathematical framework for the analysis of a model of a physical system undergoing vibration. The book illustrates how the physics of a problem is used to develop a more specific framework for the analysis of that problem. The author elucidates a general theory applicable to both discrete and continuous systems and includes proofs of important results, especially proofs that are themselves instructive for a thorough understanding of the result. The book begins with a discussion of the physics of dynamic systems comprised of particles, rigid bodies, and deformable bodies and the physics and mathematics for the analysis of a system with a single-degree-of-freedom. It develops mathematical models using energy methods and presents the mathematical foundation for the framework. The author illustrates the development and analysis of linear operators used in various problems and the formulation of the differential equations governing the response of a conservative linear system in terms of self-adjoint linear operators, the inertia operator, and the stiffness operator. The author focuses on the free response of linear conservative systems and the free response of non-self-adjoint systems. He explores three method for determining the forced response and approximate methods of solution for continuous systems. The use of the mathematical foundation and the application of the physics to build a framework for the modeling and development of the response is emphasized throughout the book. The presence of the framework becomes more important as the complexity of the system increases. The textbuilds the foundation, formalizes it, and uses it in a consistent fashion including application to contemporary research using linear vibrations.

Understanding and controlling vibration is critical for reducing noise, improving work environments and product quality, and increasing the useful life of industrial machinery and other mechanical systems. Computer-based modeling and analytical tools provide fast, accurate, and efficient means of designing and controlling a system for improved vibratory and, subsequently, acoustic performance. Computer Techniques in Vibration provides an overview as well as a detailed account and application of the various tools and techniques available for modeling and simulating vibrations. Drawn from the immensely popular Vibration and Shock Handbook, each expertly crafted chapter of this book includes convenient summary windows, tables, graphs, and lists to provide ready access to the important concepts and results. Working systematically from general principles to specific applications, the coverage spans from numerical techniques, modeling, and software tools to analysis of flexibly supported multibody systems, finite element applications, vibration signal analysis, fast Fourier transform (FFT), and wavelet techniques and applications. MATLAB(R) toolboxes and other widely available software packages feature prominently in the discussion, accompanied by numerous examples, sample outputs, and a case study. Instead of wading through heavy volumes or software manuals for the techniques you need, find a ready collection of eminently practical tools in Computer Techniques in Vibration.

This book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes. The opening four chapters elucidate the basic concepts of probability, including probability spaces and measures, random variables, and limit theorems. Here, the focus is mainly on models and ideas rather than the mathematical tools. The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jump-diffusion processes, stochastic calculus, and stochastic differential equations. All these conceptual tools then converge in a dynamical theory of Brownian motion that compares the Einstein-Smoluchowski and Ornstein-Uhlenbeck approaches, highlighting the most important ideas that finally led to a connection between the Schroedinger equation and diffusion processes along the lines of Nelson's stochastic mechanics. A series of appendices cover particular details and calculations, and offer concise treatments of particular thought-provoking topics.

The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications in science and engineering, summarizing the findings of this research. Each chapter is written by an expert contributor in the field of nonlinear dynamics and addresses a different form of the equation, relating it to various oscillatory problems and clearly linking the problem with the mathematics that describe it. The editors and the contributors explain the mathematical techniques required to study nonlinear dynamics, helping the reader with little mathematical background to understand the text. The Duffing Equation provides a reference text for postgraduate and students and researchers of mechanical engineering and vibration / nonlinear dynamics as well as a useful tool for practising mechanical engineers. * Includes a chapter devoted to historical background on Georg Duffing and the equation that was named after him. * Includes a chapter solely devoted to practical examples of systems whose dynamic behaviour is described by the Duffing equation. * Contains a comprehensive treatment of the various forms of the Duffing equation. * Uses experimental, analytical and numerical methods as well as concepts of nonlinear dynamics to treat the physical systems in a unified way.

This book is a spin-off from the International Journal of Fracture and collects lectures and papers presented at the 11th International Conference on Fracture (ICF11), March 20-25, 2005. Included in this volume are introductory addresses, as well as remarks on the presentation of honorary degrees. A collection of papers follows, including presentations by such eminent scientists as B.B. Mandelbrot, G.I. Barenblatt, and numerous others, reviewing advanced research in fracture.

Maintaining the outstanding features and practical approach that led the bestselling first edition to become a standard textbook in engineering classrooms worldwide, Clarence de Silva's Vibration: Fundamentals and Practice, Second Edition remains a solid instructional tool for modeling, analyzing, simulating, measuring, monitoring, testing, controlling, and designing for vibration in engineering systems. It condenses the author's distinguished and extensive experience into an easy-to-use, highly practical text that prepares students for real problems in a variety of engineering fields. What's New in the Second Edition? A new chapter on human response to vibration, with practical considerations Expanded and updated material on vibration monitoring and diagnosis Enhanced section on vibration control, updated with the latest techniques and methodologies New worked examples and end-of-chapter problems. Incorporates software tools, including LabVIEW (TM), SIMULINK (R), MATLAB (R), the LabVIEW Sound and Vibration Toolbox, and the MATLAB Control Systems Toolbox Enhanced worked examples and new solutions using MATLAB and SIMULINK The new chapter on human response to vibration examines representation of vibration detection and perception by humans as well as specifications and regulatory guidelines for human vibration environments. Remaining an indispensable text for advanced undergraduate and graduate students, Vibration: Fundamentals and Practice, Second Edition builds a unique and in-depth understanding of vibration on a sound framework of practical tools and applications.

Covering a wide variety of topics in dynamic fracture mechanics, this volume presents state-of-the-art experimental techniques and theoretical analysis on dynamic fracture in standard and exotic materials. Written by world renowned researchers, this valuable compendium contains eleven chapters on crack initiation, crack propagation, crack arrest, crack-stress wave interactions, and experimental, analytical and numerical methods in dynamic fracture mechanics.

This volume gathers the latest advances and innovations in the field of flow-induced vibration and noise, as presented by leading international researchers at the 3rd International Symposium on Flow Induced Noise and Vibration Issues and Aspects (FLINOVIA), which was held in Lyon, France, in September 2019. It explores topics such as turbulent boundary layer-induced vibration and noise, tonal noise, noise due to ingested turbulence, fluid-structure interaction problems, and noise control techniques. The authors' backgrounds represent a mix of academia, government, and industry, and several papers include applications to important problems for underwater vehicles, aerospace structures and commercial transportation. The book offers a valuable reference guide for all those interested in measurement, modelling, simulation and reproduction of the flow excitation and flow induced structural response.

While residual stress can be a problem in many industries and lead to early failure of component, it can also be introduced deliberately to improve lifetimes. Knowledge of the residual stress state in a component can be critical for quality control of surface engineering processes or vital to performing an accurate assessment of component life under fatigue loading. Neutron and synchrotron X-ray diffraction have emerged as leading techniques for stress analysis, as they can penetrate many millimetres or centimetres into components, allowing nondestructive measurement of the internal strains. Both methods require the use of costly facility-based equipment, but great advantages are obtained from the ability to probe the stress state deep below a specimen's surface. Analysis of Residual Stress by Diffraction Using Neutron and Synchrotron Radiation gives an overview of the principles of these techniques and examples of their applications to a range of materials and engineering problems. It contains 20 chapter contributed by leading international experts in residual stress analysis, who explore the theoretical basis of stress analysis by diffraction methods, the practical implementation of the methods, and examples of key applications. The applications discussed include the determination of internal stresses in weldments, in composite materials, following shot peening, and in ceramics. This book will be useful for engineers and scientists who work in any field where residual stresses are of importance, and for anyone involved with the application of neutron or synchrotron radiation for stress management. As the techniques become a basic component of the measurement toolkit for stress analysis, an appreciation of the practicalities and limitations of these methods in practice will be important throughout a range of engineering and scientific fields.

This book reports on the 12th International Workshop on Railway Noise held on 12-16 September 2016 at Terrigal, Australia. It gathers peer-reviewed papers describing the latest developments in rail noise and vibration, as well as state-of-the-art reviews by distinguished experts in the field. The papers cover a broad range of rail noise topics including wheel squeal, policy, regulation and perception, wheel and rail noise, predictions, measurements and monitoring, interior noise, rail roughness, corrugation and grinding, high speed rail and aerodynamic noise, and structure-borne noise, ground-borne vibration and resilient track forms. It offers an essential reference-guide to both scientists and engineers in their daily efforts to identify, understand and solve a number of problems related to railway noise and vibration, and to achieve their ultimate goal of reducing the environmental impact of railway systems.

The combined finite-discrete element method is gaining increasing importance in engineering programmes and is at the forefront of current efforts in computational modelling of the failure of solids. The method has significant applications in petroleum and mining engineering, rock blasting, demolition (collapsing buildings), blast loads, powder technology and many more areas. It is therefore vital that engineers understand the method and know how to work with it.

Featuring the latest developments of this dynamic field, Munjizas comprehensive treatment provides detailed descriptions of all algorithmic aspects of the combined finite-discrete element method.

Special features include: Coverage of all algorithmic aspects of the combine finite-discrete element method. Describes all algorithms procedures in detail accompanied by C based implementations. Source codes and examples of input and output files, made available on the internet to accompany the applications at www.wileyeurope.com/go/FiniteDiscreteElementMethod

"The Combined Finite-Discrete Element Method" is an excellent reference for mechanical and civil engineers working with and involved in developing finite-discrete element programmes. This book also provides support to postgraduate students, computer programmers, scientists and researchers who wish to increase their knowledge of the finite-discrete element method.

This volume contains 39 contributions presented at the IUTAM Symposium on Mechanics of Granular and Porous Materials. The Symposium reviewed the current understanding of the constitutive behaviour of porous and granular solids, based on experimental data, numerical simulations and micromechanical models. An interdisciplinary approach is adopted, involving the fields of solid mechanics, materials science, geomechanics, chemical engineering and mathematics. This book emphasizes the development and use of constitutive laws to model practical processes such as mixing, drainage and drying, compaction of metal and ceramic powders and soils, and instabilities associated with these processes. A common theme is the development of constitutive models from an understanding of the underlying physical mechanisms of deformation and fracture. The volume should be of interest to researchers and to engineers concerned with measuring and predicting the response of granular and porous solids for structural applications.

Flexible Multibody Dynamics comprehensively describes the numerical modelling of flexible multibody dynamics systems in space and aircraft structures, vehicles, and mechanical systems. A rigorous approach is followed to handle finite rotations in 3D, with a thorough discussion of the different alternatives for parametrization. Modelling of flexible bodies is treated following the Finite Element technique, a novel aspect in multibody systems simulation.

Moreover, this book provides extensive coverage of the formulation of a general purpose software for flexible multibody dynamics analysis, based on an exhaustive treatment of large rotations and finite element modelling, and incorporating useful reference material.

Features include different solution techniques such as:

• time integration of differential-algebraic equations

• non-linear substructuring

• continuation methods

• nonlinear bifurcation analysis.

The ?eld of geosciences is full of scienti?c fascination and questions that are crucial for humanity. Our ?uid environment (the atmosphere, oceans, rivers, etc. ) is responsible for climate, hurricanes, ?oods and other phen- ena characterised by rapid changes. These have to be contrasted with the permanence of our solid underground made of soil, rock, ice and snow. H- ever, this permanence is only apparent as shown for example by earthquakes and landslides, but also by a number of other processes of deformation. Such processes are nowadays of high importance whenever we look to the future (think for example of disposal of radioactive waste or carbon dioxide) or to the past (prospectionof oil,gasand ore). But also shortrangeextrapolations are important if we look e. g. at the prediction and mitigation of landslides or the foundation of oil and gas production plants o?shore or on glaciers. Geosciences are pronouncedly multidisciplinary as they comprise perhaps the most widespread collection of disciplines, such as geology, geophysics, physics, geochemistry, geography, geotechnical and geoenvironmental en- neering, Unfor petroleum engineering, soil mechanics and rock mechanics- tunately, often these disciplines operate rather independent of each other andthe increasing quest for transdisciplinary exchange is inhibited by the di?erentlanguages and views prevailing in the various disciplines. It appears thus that mechanics could o?er a substantial link across d- ciplines, at least with respect to geotechnical engineering and geology.

Reducing and controlling the level of vibration in a mechanical system leads to an improved work environment and product quality, reduced noise, more economical operation, and longer equipment life. Adequate design is essential for reducing vibrations, while damping and control methods help further reduce and manipulate vibrations when design strategies reach their limits. There are also useful types of vibration, which may require enhancement or control. Vibration Damping, Control, and Design balances theoretical and application-oriented coverage to enable optimal vibration and noise suppression and control in nearly any system. Drawn from the immensely popular Vibration and Shock Handbook, each expertly crafted chapter of this book includes convenient summary windows, tables, graphs, and lists to provide ready access to the important concepts and results. Working systematically from general principles to specific applications, coverage spans from theory and experimental techniques in vibration damping to isolation, passive control, active control, and structural dynamic modification. The book also discusses specific issues in designing for and controlling vibrations and noise such as regenerative chatter in machine tools, fluid-induced vibration, hearing and psychological effects, instrumentation for monitoring, and statistical energy analysis. This carefully edited work strikes a balance between practical considerations, design issues, and experimental techniques. Complemented by design examples and case studies, Vibration Damping, Control, and Design builds a deep understanding of the concepts and demonstrates how to apply these principles to real systems.

This book marks the 60th birthday of Prof. Vladimir Erofeev - a well-known specialist in the field of wave processes in solids, fluids, and structures. Featuring a collection of papers related to Prof. Erofeev's contributions in the field, it presents articles on the current problems concerning the theory of nonlinear wave processes in generalized continua and structures. It also discusses a number of applications as well as various discrete and continuous dynamic models of structures and media and problems of nonlinear acoustic diagnostics.