Nonlinear Electromechanical Couplings PDF Download
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Author: G. A. Maugin
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 424
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Book Description
Offers an updated and rigorous treatise on most manifestations of nonlinear electromechanical couplings in dielectric media with applications to piezoelectric and ferroelectric crystals, piezoelectric powders and solutions of electrodeformable macromolecules. Presents a variety of static and dynamic nonlinear effects which have important engineering applications. Contains an insight into the nonlinear behavior of such new substances as ceramics, powders and ferroelectrics. Rigorous mathematical treatment includes hyberbolic systems, asymptotic expansions, singular perturbations, convexity and soliton theory.
Author: G. A. Maugin
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 424
Get Book Here
Book Description
Offers an updated and rigorous treatise on most manifestations of nonlinear electromechanical couplings in dielectric media with applications to piezoelectric and ferroelectric crystals, piezoelectric powders and solutions of electrodeformable macromolecules. Presents a variety of static and dynamic nonlinear effects which have important engineering applications. Contains an insight into the nonlinear behavior of such new substances as ceramics, powders and ferroelectrics. Rigorous mathematical treatment includes hyberbolic systems, asymptotic expansions, singular perturbations, convexity and soliton theory.
Author: Holm Altenbach
Publisher: Springer Nature
ISBN: 3030758907
Category : Science
Languages : en
Pages : 476
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Book Description
This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.
Author: Jiashi Yang
Publisher: Springer Science & Business Media
ISBN: 0387235469
Category : Technology & Engineering
Languages : en
Pages : 310
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Book Description
This book is based on lecture notes for a graduate course that has been offered at University of Nebraska-Lincoln on and off since 1998. The course is intended to provide graduate students with the basic aspects of the continuum modeling of electroelastic interactions in solids. A concise treatment of linear, nonlinear, static and dynamic theories and problems is presented. The emphasis is on formulation and understanding of problems useful in device applications rather than solution techniques of mathematical problems. The mathematics used in the book is minimal. The book is suitable for a one-semester graduate course on electroelasticity. It can also be used as a reference for researchers. I would like to take this opportunity to thank UNL for a Maude Hammond Fling Faculty Research Fellowship in 2003 for the preparation of the first draft of this book. I also wish to thank Ms. Deborah Derrick of the College of Engineering and Technology at UNL for editing assistance with the book, and Professor David Y. Gao of Virginia Polytechnic Institute and State University for recommending this book to Kluwer for publication in the series of Advances in Mechanics and Mathematics. JSY Lincoln, Nebraska 2004 Preface Electroelastic materials exhibit electromechanical coupling. They experience mechanical deformations when placed in an electric field, and become electrically polarized under mechanical loads. Strictly speaking, piezoelectricity refers to linear electromechanical couplings only.
Author: Charles Bakis
Publisher: DEStech Publications, Inc
ISBN: 1605951072
Category : Technology & Engineering
Languages : en
Pages : 1892
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Book Description
New and unpublished U.S. and international research on multifunctional, active, biobased, SHM, self-healing composites -- from nanolevel to large structures New information on modeling, design, computational engineering, manufacturing, testing Applications to aircraft, bridges, concrete, medicine, body armor, wind energy This fully searchable CD-ROM contains 135 original research papers on all phases of composite materials. The document provides cutting edge research by US, Canadian, and Japanese authorities on matrix-based and fiber composites from design to damage analysis and detection. Major divisions of the work include: Structural Health Monitoring, Multifunctional Composites, Integrated Computational Materials Engineering, Interlaminar Testing, Analysis-Shell Structures, Thermoplastic Matrices, Analysis Non-classical Laminates, Bio-Based Composites, Electrical Properties, Dynamic Behavior, Damage/Failure, Compression-Testing, Active Composites, 3D Reinforcement, Dielectric Nanocomposites, Micromechanical Analysis, Processing, CM Reinforcement for Concrete, Environmental Effects, Phase-Transforming, Molecular Modeling, Impact.
Author: Luis Dorfmann
Publisher: Springer Science & Business Media
ISBN: 1461495962
Category : Technology & Engineering
Languages : en
Pages : 318
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Book Description
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.
Author: Yury Vetyukov
Publisher: Springer Science & Business Media
ISBN: 3709117771
Category : Science
Languages : en
Pages : 280
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Book Description
This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book. A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures are presented with a comprehensive discussion regarding the theoretical basis, computational aspects and implementation details. Analytical conclusions and closed-form solutions of particular problems are validated against numerical results. The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.
Author: Luigi Fortuna
Publisher: World Scientific
ISBN: 9813227257
Category : Computers
Languages : en
Pages : 147
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Book Description
This book focuses on a class of uncertain systems that are called imperfect, and shows how much systems can regularly work if an appropriate control strategy is adopted. Along with some practical well studied examples, a formalization of the models for imperfect system is considered and a control strategy is proposed. Experimental case studies on electromechanical systems are also included.New concepts, experimental innovative circuits and laboratory details allow the reader to implement at low cost the outlined strategy. Emergent topics in nonlinear device realization are emphasized with the aim to allow researchers and students to perform experiments with large scale electromechanical systems. Moreover, the possibility of using imperfections and noise to generate nonlinear strange behavior is discussed.
Author: Baoyan Duan
Publisher: John Wiley & Sons
ISBN: 1119904412
Category : Technology & Engineering
Languages : en
Pages : 340
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Book Description
Electromechanical Coupling Theory, Methodology and Applications for High-Performance Microwave Equipment Electromechanical Coupling Theory, Methodology, and Applications for High-Performance Microwave Equipment is an authoritative and up-to-date guide to the structural, mechanical, and electrical aspects of electromechanical coupling. Addressing control, electromagnetism, and structural engineering, this comprehensive reference covers the electromechanical coupling of high-performance microwave electronic equipment (MEE), such as antennas, radar, large radio telescopes, and telecommunication and navigation equipment. The book is divided into four main sections, beginning with an introduction to electromechanical coupling (EMC) theory and a detailed description of the multi-field coupling model (MFCM) and the influence mechanism (IM) of nonlinear factors of antenna-servo-feeder systems on performance. Subsequent sections discuss MFCM- and IM-based design methodology, EMC-based measurement and testing, computer software for coupling analysis and design of electronic equipment, and various engineering applications of EMC theory and the IM of typical electronic equipment. In addition, the book: Discusses information and data transfer in electromagnetic fields, mechanical and structural deformation fields, and temperature fields Explains how high-performance microwave electronic equipment differs from traditional mechanical equipment Addresses EMC-based and general design-vector based optimization of electronic equipment design Describes applications such as a gun-guided radar system for warships and a large-diameter antenna for moon exploration Includes evaluation criteria to validate MFCM/IM design theory and methodology Electromechanical Coupling Theory, Methodology, and Applications for High-Performance Microwave Equipment is essential reading for circuit designers, microwave engineers, researchers working with high-frequency microwave engineering, and engineers working with integrated circuits in radar, communications, IoT, antenna engineering, and remote sensing.
Author: Holm Altenbach
Publisher: Springer
ISBN: 3319724401
Category : Science
Languages : en
Pages : 799
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Book Description
This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.
Author: J. Engelbrecht
Publisher: Springer Science & Business Media
ISBN: 9401588910
Category : Technology & Engineering
Languages : en
Pages : 197
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Book Description
At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.
