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Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids

Structural and Residual Stress Analysis by Nondestructive Methods - Evaluation Application Assessment (Hardcover): V. Hauk Structural and Residual Stress Analysis by Nondestructive Methods - Evaluation Application Assessment (Hardcover)
V. Hauk
R9,226 Discovery Miles 92 260 Ships in 10 - 15 working days

The field of stress analysis has gained its momentum from the widespread applications in industry and technology and has now become an important part of materials science. Various destructive as well as nondestructive methods have been developed for the determination of stresses. This timely book provides a comprehensive review of the nondestructive techniques for strain evaluation written by experts in their respective fields.

The main part of the book deals with X-ray stress analysis (XSA), focussing on measurement and evaluation methods which can help to solve the problems of today, the numerous applications of metallic, polymeric and ceramic materials as well as of thin-film-substrate composites and of advanced microcomponents. Furthermore it contains data, results, hints and recommendations that are valuable to laboratories for the certification and accreditation of their stress analysis.

Stress analysis is an active field in which many questions remain unsettled. Accordingly, unsolved problems and conflicting results are discussed as well. The assessment of the experimentally determined residual and structural stress states on the static and dynamic behavior of materials and components is handled in a separate chapter.

Students and engineers of materials science and scientists working in laboratories and industries will find this book invaluable.

Rheological and Seismic Properties of Solid-Melt Systems - A Mechanical Spectroscopy Study (Hardcover, 2014 ed.): Su-Ying Chien Rheological and Seismic Properties of Solid-Melt Systems - A Mechanical Spectroscopy Study (Hardcover, 2014 ed.)
Su-Ying Chien
R3,884 R3,340 Discovery Miles 33 400 Save R544 (14%) Ships in 12 - 17 working days

Our understanding of the rheological and seismic properties of the Earth's interior relies on interpreting geophysical observations using mineral physics data. The complexity of natural materials complicates these interpretations, but here the key features of such materials in controlling the attenuation of seismic waves are determined by a set of careful experiments. This thesis clearly explains how dynamic mechanical spectroscopy has been used to determine the visco-elastic properties of igneous and sedimentary rocks containing geological fluids. These experiments highlight, for the first time, the importance of mineral and rock microstructures as controls on geophysical properties of solids, particularly near the melting point. The results have impacts in areas ranging from volcanic processes, through the structure of the deep Earth, to fluid-saturated porous media.

Optimal Trajectory Tracking of Nonlinear Dynamical Systems (Hardcover, 1st ed. 2017): Jakob Loeber Optimal Trajectory Tracking of Nonlinear Dynamical Systems (Hardcover, 1st ed. 2017)
Jakob Loeber
R3,696 R3,428 Discovery Miles 34 280 Save R268 (7%) Ships in 12 - 17 working days

By establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry.

Dynamical Systems - Discontinuity, Stochasticity and Time-Delay (Hardcover, 2010 Ed.): Albert C.J. Luo Dynamical Systems - Discontinuity, Stochasticity and Time-Delay (Hardcover, 2010 Ed.)
Albert C.J. Luo
R5,856 Discovery Miles 58 560 Ships in 10 - 15 working days

Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system problems, such as the behavior of suspension systems of railways, nonlinear vibration and applied control in coal manufacturing, along with the multifractal spectrum of LAN traffic, are discussed at length, giving the reader a sense of real-world instances where these theories are applied. Dynamical Systems: Discontinuous, Stochasticity and Time-Delay also contains material on time-delay systems as they relate to linear switching, dynamics of complex networks, and machine tools with multiple boundaries. It is the ideal book for engineers and academic researchers working in areas like mechanical and control engineering, as well as applied mathematics.

Nonlinear Theory of Electroelastic and Magnetoelastic Interactions (Hardcover, 2014 ed.): Luis Dorfmann, Ray W. Ogden Nonlinear Theory of Electroelastic and Magnetoelastic Interactions (Hardcover, 2014 ed.)
Luis Dorfmann, Ray W. Ogden
R4,821 Discovery Miles 48 210 Ships in 12 - 17 working days

This book provides a unified theory on nonlinear electro-magnetomechanical interactions of soft materials capable of large elastic deformations. The authors include an overview of the basic principles of the classic theory of electromagnetism from the fundamental notions of point charges and magnetic dipoles through to distributions of charge and current in a non-deformable continuum, time-dependent electromagnetic fields and Maxwell's equations. They summarize relevant theories of continuum mechanics, required to account for the deformability of material and present a constitutive framework for the nonlinear magneto-and electroelastic interactions in a highly deformable material. The equations contained in the book formulate and solve a variety of representative boundary-value problems for both nonlinear magnetoelasticity and electroelasticity.

Dynamic Balancing of Mechanisms and Synthesizing of Parallel Robots (Hardcover, 1st ed. 2016): Dan Zhang, Bin Wei Dynamic Balancing of Mechanisms and Synthesizing of Parallel Robots (Hardcover, 1st ed. 2016)
Dan Zhang, Bin Wei
R5,664 R5,058 Discovery Miles 50 580 Save R606 (11%) Ships in 12 - 17 working days

This book covers the state-of-the-art technologies in dynamic balancing of mechanisms with minimum increase of mass and inertia. The synthesis of parallel robots based on the Decomposition and Integration concept is also covered in detail. The latest advances are described, including different balancing principles, design of reactionless mechanisms with minimum increase of mass and inertia, and synthesizing parallel robots. This is an ideal book for mechanical engineering students and researchers who are interested in the dynamic balancing of mechanisms and synthesizing of parallel robots. This book also: * Broadens reader understanding of the synthesis of parallel robots based on the Decomposition and Integration concept * Reinforces basic principles with detailed coverage of different balancing principles, including input torque balancing mechanisms * Reviews exhaustively the key recent research into the design of reactionless mechanisms with minimum increase of mass and inertia, such as the design of reactionless mechanisms with auxiliary parallelograms, the design of reactionless mechanisms with flywheels, and the design of reactionless mechanisms by symmetrical structure design.

Classical Beam Theories of Structural Mechanics (Hardcover, 1st ed. 2021): Andreas Oechsner Classical Beam Theories of Structural Mechanics (Hardcover, 1st ed. 2021)
Andreas Oechsner
R2,877 Discovery Miles 28 770 Ships in 10 - 15 working days

This book provides a systematic and thorough overview of the classical bending members based on the theory for thin beams (shear-rigid) according to Euler-Bernoulli, and the theories for thick beams (shear-flexible) according to Timoshenko and Levinson. The understanding of basic, i.e., one-dimensional structural members, is essential in applied mechanics. A systematic and thorough introduction to the theoretical concepts for one-dimensional members keeps the requirements on engineering mathematics quite low, and allows for a simpler transfer to higher-order structural members. The new approach in this textbook is that it treats single-plane bending in the x-y plane as well in the x-z plane equivalently and applies them to the case of unsymmetrical bending. The fundamental understanding of these one-dimensional members allows a simpler understanding of thin and thick plate bending members. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of all classical structural members known in engineering mechanics. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, these partial differential equations that describe the physical problem can be derived. Nevertheless, the fundamental knowledge from the first years of engineering education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills, might be required to master this topic.

Gauge Invariance Approach to Acoustic Fields (Hardcover, 1st ed. 2019): Woon Siong Gan Gauge Invariance Approach to Acoustic Fields (Hardcover, 1st ed. 2019)
Woon Siong Gan
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book highlights the symmetry properties of acoustic fields and describes the gauge invariance approach, which can be used to reveal those properties. Symmetry is the key theoretical framework of metamaterials, as has been demonstrated by the successful fabrication of acoustical metamaterials. The book first provides the necessary theoretical background, which includes the covariant derivative, the vector potential, and invariance in coordinate transformation. This is followed by descriptions of global gauge invariance (isotropy), and of local gauge invariance (anisotropy). Sections on time reversal symmetry, reflection invariance, and invariance of finite amplitude waves round out the coverage.

Structural Hot-Spot Stress Approach to Fatigue Analysis of Welded Components - Designer's Guide (Hardcover, 2nd ed. 2018):... Structural Hot-Spot Stress Approach to Fatigue Analysis of Welded Components - Designer's Guide (Hardcover, 2nd ed. 2018)
Erkki Niemi, Wolfgang Fricke, Stephen J. Maddox
R3,611 Discovery Miles 36 110 Ships in 10 - 15 working days

This book provides background and guidance on the use of the structural hot-spot stress approach to fatigue analysis. The book also offers Design S-N curves for use with the structural hot-spot stress for a range of weld details, and presents parametric formulas for calculating stress increases due to misalignment and structural discontinuities. Highlighting the extension to structures fabricated from plates and non-tubular sections. The structural hot-spot stress approach focuses on cases of potential fatigue cracking from the weld toe and it has been in use for many years in tubular joints. Following an explanation of the structural hot-spot stress, its definition and its relevance to fatigue, the book describes methods for its determination. It considers stress determination from both finite element analysis and strain gauge measurements, and emphasizes the use of finite element stress analysis, providing guidance on the choice of element type and size for use with either solid or shell elements. Lastly, it illustrates the use of the recommendations in four case studies involving the fatigue assessment of welded structures using the structural hot-spot stress

Multibody Mechatronic Systems - Proceedings of the MUSME Conference held in Florianopolis, Brazil, October 24-28, 2017... Multibody Mechatronic Systems - Proceedings of the MUSME Conference held in Florianopolis, Brazil, October 24-28, 2017 (Hardcover, 1st ed. 2018)
Joao Carlos Mendes Carvalho, Daniel Martins, Roberto Simoni, Henrique Simas
R8,464 R6,745 Discovery Miles 67 450 Save R1,719 (20%) Ships in 12 - 17 working days

These are the Proceedings of the 6th International Symposium on Multibody Systems and Mechatronics (MUSME 2017) which was held in Florianopolis, Brazil, October 24-28, 2017. Topics addressed include analysis and synthesis of mechanisms; dynamics of multibody systems; design algorithms for mechatronic systems; simulation procedures and results; prototypes and their performance; robots and micromachines; experimental validations; theory of mechatronic simulation; mechatronic systems; and control of mechatronic systems. The MUSME 2017 Symposium was one of the activities of the FEIbIM Commission for Mechatronics and IFToMM technical Committees for Multibody Dynamics, Robotics and Mechatronics.

Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics (Hardcover, 1st ed. 2016):... Structure-preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics (Hardcover, 1st ed. 2016)
Peter Betsch
R4,568 R3,843 Discovery Miles 38 430 Save R725 (16%) Ships in 12 - 17 working days

This book focuses on structure-preserving numerical methods for flexible multibody dynamics, including nonlinear elastodynamics and geometrically exact models for beams and shells. It also deals with the newly emerging class of variational integrators as well as Lie-group integrators. It discusses two alternative approaches to the discretization in space of nonlinear beams and shells. Firstly, geometrically exact formulations, which are typically used in the finite element community and, secondly, the absolute nodal coordinate formulation, which is popular in the multibody dynamics community. Concerning the discretization in time, the energy-momentum method and its energy-decaying variants are discussed. It also addresses a number of issues that have arisen in the wake of the structure-preserving discretization in space. Among them are the parameterization of finite rotations, the incorporation of algebraic constraints and the computer implementation of the various numerical methods. The practical application of structure-preserving methods is illustrated by a number of examples dealing with, among others, nonlinear beams and shells, large deformation problems, long-term simulations and coupled thermo-mechanical multibody systems. In addition it links novel time integration methods to frequently used methods in industrial multibody system simulation.

Analysis and Modelling of Advanced Structures and Smart Systems (Hardcover, 1st ed. 2018): Holm Altenbach, Erasmo Carrera,... Analysis and Modelling of Advanced Structures and Smart Systems (Hardcover, 1st ed. 2018)
Holm Altenbach, Erasmo Carrera, Gennady Kulikov
R4,882 Discovery Miles 48 820 Ships in 12 - 17 working days

This book presents selected papers presented at the 8th International Conference "Design, Modeling and Experiments of Advanced Structures and Systems" (DeMEASS VIII, held in Moscow, Russia in May 2017) and reflects the modern state of sciences in this field. The contributions contain topics like Piezoelectric, Ferroelectric, Ferroelastic and Magnetostrictive Materials, Shape Memory Alloys and Active Polymers, Functionally Graded Materials, Multi-Functional Smart Materials and Structures, Coupled Multi-Field Problems, Design and Modeling of Sensors and Actuators, Adaptive Structures.

Machine Design Data Book (Hardcover): P V Ramana Murti, Vidyasagar M Machine Design Data Book (Hardcover)
P V Ramana Murti, Vidyasagar M
R1,004 Discovery Miles 10 040 Ships in 12 - 17 working days
Applications of Sliding Mode Control (Hardcover, 1st ed. 2017): Nabil Derbel, Jawhar Ghommam, Quanmin Zhu Applications of Sliding Mode Control (Hardcover, 1st ed. 2017)
Nabil Derbel, Jawhar Ghommam, Quanmin Zhu
R4,869 Discovery Miles 48 690 Ships in 12 - 17 working days

This book presents essential studies and applications in the context of sliding mode control, highlighting the latest findings from interdisciplinary theoretical studies, ranging from computational algorithm development to representative applications. Readers will learn how to easily tailor the techniques to accommodate their ad hoc applications. To make the content as accessible as possible, the book employs a clear route in each paper, moving from background to motivation, to quantitative development (equations), and lastly to case studies/illustrations/tutorials (simulations, experiences, curves, tables, etc.). Though primarily intended for graduate students, professors and researchers from related fields, the book will also benefit engineers and scientists from industry.

Experimental Stress Analysis for Materials and Structures - Stress Analysis Models for Developing Design Methodologies... Experimental Stress Analysis for Materials and Structures - Stress Analysis Models for Developing Design Methodologies (Hardcover, 2015 ed.)
Alessandro Freddi, Giorgio Olmi, Luca Cristofolini
R5,690 Discovery Miles 56 900 Ships in 12 - 17 working days

This book summarizes the main methods of experimental stress analysis and examines their application to various states of stress of major technical interest, highlighting aspects not always covered in the classic literature. It is explained how experimental stress analysis assists in the verification and completion of analytical and numerical models, the development of phenomenological theories, the measurement and control of system parameters under operating conditions, and identification of causes of failure or malfunction. Cases addressed include measurement of the state of stress in models, measurement of actual loads on structures, verification of stress states in circumstances of complex numerical modeling, assessment of stress-related material damage, and reliability analysis of artifacts (e.g. prostheses) that interact with biological systems. The book will serve graduate students and professionals as a valuable tool for finding solutions when analytical solutions do not exist.

Intelligent Integrated Energy Systems - The PowerWeb Program at TU Delft (Hardcover, 1st ed. 2019): Peter Palensky, Milos... Intelligent Integrated Energy Systems - The PowerWeb Program at TU Delft (Hardcover, 1st ed. 2019)
Peter Palensky, Milos Cvetkovic, Tamas Keviczky
R2,889 Discovery Miles 28 890 Ships in 10 - 15 working days

This book presents research results of PowerWeb, TU Delft's consortium for interdisciplinary research on intelligent, integrated energy systems and their role in markets and institutions. In operation since 2012, it acts as a host and information platform for a growing number of projects, ranging from single PhD student projects up to large integrated and international research programs. The group acts in an inter-faculty fashion and brings together experts from electrical engineering, computer science, mathematics, mechanical engineering, technology and policy management, control engineering, civil engineering, architecture, aerospace engineering, and industrial design. The interdisciplinary projects of PowerWeb are typically associated with either of three problem domains: Grid Technology, Intelligence and Society. PowerWeb is not limited to electricity: it bridges heat, gas, and other types of energy with markets, industrial processes, transport, and the built environment, serving as a singular entry point for industry to the University's knowledge. Via its Industry Advisory Board, a steady link to business owners, manufacturers, and energy system operators is provided.

Notes on Projectile Impact Analyses (Hardcover, 1st ed. 2020): Hao Wu, Yong Peng, Xiangzhen Kong Notes on Projectile Impact Analyses (Hardcover, 1st ed. 2020)
Hao Wu, Yong Peng, Xiangzhen Kong
R2,930 Discovery Miles 29 300 Ships in 10 - 15 working days

This book presents comprehensive experimental, numerical, and theoretical research on projectile impact analysis, such as the rigid projectile penetration/perforation of concrete and metallic targets, and shaped-charge-formed projectile and jet penetrations. Concrete and metal materials are widely used in protective structures in both civil engineering and armored vehicles, such as military fortifications, underground shelters, infantry fighting vehicles, and tanks, which are designed to withstand intentional or accidental impact loadings caused by projectiles and fragments, and the responses of these targets under projectile impact have been a topic of discussion for several decades. Written for researchers and engineers working in the fields of protective structures and high-speed penetration mechanics, the book is also a valuable reference for senior undergraduate and postgraduate students majoring in defense engineering, terminal ballistics and other related fields.

Contact Mechanics of Articular Cartilage Layers - Asymptotic Models (Hardcover, 2015 ed.): Ivan Argatov, Gennady Mishuris Contact Mechanics of Articular Cartilage Layers - Asymptotic Models (Hardcover, 2015 ed.)
Ivan Argatov, Gennady Mishuris
R3,801 R3,534 Discovery Miles 35 340 Save R267 (7%) Ships in 12 - 17 working days

This book presents a comprehensive and unifying approach to articular contact mechanics with an emphasis on frictionless contact interaction of thin cartilage layers. The first part of the book (Chapters 1-4) reviews the results of asymptotic analysis of the deformational behavior of thin elastic and viscoelastic layers. A comprehensive review of the literature is combined with the authors' original contributions. The compressible and incompressible cases are treated separately with a focus on exact solutions for asymptotic models of frictionless contact for thin transversely isotropic layers bonded to rigid substrates shaped like elliptic paraboloids. The second part (Chapters 5, 6, and 7) deals with the non-axisymmetric contact of thin transversely isotropic biphasic layers and presents the asymptotic modelling methodology for tibio-femoral contact. The third part of the book consists of Chapter 8, which covers contact problems for thin bonded inhomogeneous transversely isotropic elastic layers and Chapter 9, which addresses various perturbational aspects in contact problems and introduces the sensitivity of articular contact mechanics. This book is intended for advanced undergraduate and graduate students, researchers in the area of biomechanics, and engineers interested and involved in the analysis and design of thin-layer structures.

Diagnosis, Fault Detection & Tolerant Control (Hardcover, 1st ed. 2020): Nabil Derbel, Jawhar Ghommam, Quanmin Zhu Diagnosis, Fault Detection & Tolerant Control (Hardcover, 1st ed. 2020)
Nabil Derbel, Jawhar Ghommam, Quanmin Zhu
R4,392 Discovery Miles 43 920 Ships in 10 - 15 working days

This book focuses on unhealthy cyber-physical systems. Consisting of 14 chapters, it discusses recognizing the beginning of the fault, diagnosing the appearance of the fault, and stopping the system or switching to a special control mode known as fault-tolerant control. Each chapter includes the background, motivation, quantitative development (equations), and case studies/illustration/tutorial (simulations, experiences, curves, tables, etc.). Readers can easily tailor the techniques presented to accommodate their ad hoc applications.

Proceedings of the 17th International Conference on New Trends in Fatigue and Fracture (Hardcover, 1st ed. 2018): Ricardo R.... Proceedings of the 17th International Conference on New Trends in Fatigue and Fracture (Hardcover, 1st ed. 2018)
Ricardo R. Ambriz, David Jaramillo, Gabriel Plascencia, Moussa Nait-Abdelaziz
R6,525 Discovery Miles 65 250 Ships in 12 - 17 working days

This book presents the proceedings of one of the major conferences in fatigue, fracture and structural integrity (NT2F). The papers are organized and divided in five different themes: fatigue and fracture mechanics of structures and advanced materials; fatigue and fracture in pressure vessels and pipelines: mechanical behavior and structural integrity of welded, bonded and bolted joints; residual stress and environmental effects on the fatigue behavior; and simulation methods, analytical and computation models in fatigue and fracture.

Polymer Engineering Science and Viscoelasticity - An Introduction (Hardcover, 2nd ed. 2015): Hal F. Brinson, L. Catherine... Polymer Engineering Science and Viscoelasticity - An Introduction (Hardcover, 2nd ed. 2015)
Hal F. Brinson, L. Catherine Brinson
R4,089 Discovery Miles 40 890 Ships in 12 - 17 working days

This book provides a unified mechanics and materials perspective on polymers: both the mathematics of viscoelasticity theory as well as the physical mechanisms behind polymer deformation processes. Introductory material on fundamental mechanics is included to provide a continuous baseline for readers from all disciplines. Introductory material on the chemical and molecular basis of polymers is also included, which is essential to the understanding of the thermomechanical response. This self-contained text covers the viscoelastic characterization of polymers including constitutive modeling, experimental methods, thermal response, and stress and failure analysis. Example problems are provided within the text as well as at the end of each chapter. New to this edition: * One new chapter on the use of nano-material inclusions for structural polymer applications and applications such as fiber-reinforced polymers and adhesively bonded structures * Brings up-to-date polymer production and sales data and equipment and procedures for evaluating polymer characterization and classification * The work serves as a comprehensive reference for advanced seniors seeking graduate level courses, first and second year graduate students, and practicing engineers

Contributions to Advanced Dynamics and Continuum Mechanics (Hardcover, 1st ed. 2019): Holm Altenbach, Hans Irschik, Valery P.... Contributions to Advanced Dynamics and Continuum Mechanics (Hardcover, 1st ed. 2019)
Holm Altenbach, Hans Irschik, Valery P. Matveenko
R2,903 Discovery Miles 29 030 Ships in 10 - 15 working days

The book celebrates the 65th birthday of Prof. Alexander K. Belyaev-a well-known expert in the field of Dynamics of Mechanical Systems. In addition to reflecting Prof. Belyaev's contributions, the papers gathered here address a range of current problems in Dynamics and Continuum Mechanics. All contributions were prepared by his friends and colleagues, and chiefly focus on theory and applications.

Metal Cutting Theory - New Perspectives and New Approaches (Hardcover, 1st ed. 2018): Hanmin Shi Metal Cutting Theory - New Perspectives and New Approaches (Hardcover, 1st ed. 2018)
Hanmin Shi
R5,238 Discovery Miles 52 380 Ships in 12 - 17 working days

This book summarizes the author's lifetime achievements, offering new perspectives and approaches in the field of metal cutting theory and its applications. The topics discussed include Non-Euclidian Geometry of Cutting Tools, Non-free Cutting Mechanics and Non-Linear Machine Tool Dynamics, applying non-linear science/complexity to machining, and all the achievements and their practical significance have been theoretically proved and experimentally verified.

Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures (Hardcover, 1st ed. 2018): Leonid I. Manevitch,... Nonstationary Resonant Dynamics of Oscillatory Chains and Nanostructures (Hardcover, 1st ed. 2018)
Leonid I. Manevitch, Agnessa Kovaleva, Valeri Smirnov, Yuli Starosvetsky
R2,991 Discovery Miles 29 910 Ships in 10 - 15 working days

This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting applications of the approach to significant nonlinear problems from different fields of physics and mechanics. In order to highlight the novelty and perspectives of the developed approach, it places the LPT concept in the context of dynamical phenomena related to the energy transfer problems and applies the theory to numerous problems of practical importance. This approach leads to the conclusion that strongly nonstationary resonance processes in nonlinear oscillator arrays and nanostructures are characterized either by maximum possible energy exchange between the clusters of oscillators (coherence domains) or by maximum energy transfer from an external source of energy to the chain. The trajectories corresponding to these processes are referred to as LPTs. The development and the use of the LPTs concept a re motivated by the fact that non-stationary processes in a broad variety of finite-dimensional physical models are beyond the well-known paradigm of nonlinear normal modes (NNMs), which is fully justified either for stationary processes or for nonstationary non-resonance processes described exactly or approximately by the combinations of the non-resonant normal modes. Thus, the role of LPTs in understanding and analyzing of intense resonance energy transfer is similar to the role of NNMs for the stationary processes. The book is a valuable resource for engineers needing to deal effectively with the problems arising in the fields of mechanical and physical applications, when the natural physical model is quite complicated. At the same time, the mathematical analysis means that it is of interest to researchers working on the theory and numerical investigation of nonlinear oscillations.

Advanced H  Control - Towards Nonsmooth Theory and Applications (Hardcover, 2014 ed.): Yury V. Orlov, Luis T. Aguilar Advanced H Control - Towards Nonsmooth Theory and Applications (Hardcover, 2014 ed.)
Yury V. Orlov, Luis T. Aguilar
R3,144 R1,946 Discovery Miles 19 460 Save R1,198 (38%) Ships in 12 - 17 working days

This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an H approach in the nonsmooth setting. Similar to the standard nonlinear H approach, the proposed nonsmooth design guarantees both the internal asymptotic stability of a nominal closed-loop system and the dissipativity inequality, which states that the size of an error signal is uniformly bounded with respect to the worst-case size of an external disturbance signal. This guarantee is achieved by constructing an energy or storage function that satisfies the dissipativity inequality and is then utilized as a Lyapunov function to ensure the internal stability requirements. Advanced H Control is unique in the literature for its treatment of disturbance attenuation in nonsmooth systems. It synthesizes various tools, including Hamilton-Jacobi-Isaacs partial differential inequalities as well as Linear Matrix Inequalities. Along with the finite-dimensional treatment, the synthesis is extended to infinite-dimensional setting, involving time-delay and distributed parameter systems. To help illustrate this synthesis, the book focuses on electromechanical applications with nonsmooth phenomena caused by dry friction, backlash, and sampled-data measurements. Special attention is devoted to implementation issues. Requiring familiarity with nonlinear systems theory, this book will be accessible to g raduate students interested in systems analysis and design, and is a welcome addition to the literature for researchers and practitioners in these areas.

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