The Theory Of Piezoelectric Shells And Plates

Author : Nellya N. Rogacheva
Publisher : CRC Press
Page : 272 pages
File Size : 46,5 Mb
Release : 2020-09-10
Category : Technology & Engineering
ISBN : 9781000102994

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The Theory of Piezoelectric Shells and Plates by Nellya N. Rogacheva Pdf

This is the first book devoted to a systematic description of the linear theory of piezoelectric shells and plates theory. The book contains two parts. In the first part, the theories for electroelastic thin-walled elements of arbitrary form with different directions of preliminary polarization are presented in an easy form for practical use. The approximate methods for integrating the equations of piezoelectric shells and plates are developed and applied for solving some engineering problems. In the second part, the theory of piezoelectric shells and plates is substantiated by the asymptotic method. The area of applicability for different kinds of electroelastic shell theories is studied. A new problem concerning the electroelastic phenomena at the edge of a thin-walled element is raised and solved. The Theory of Piezoelectric Shells and Plates will be valuable to researchers working in the field of electroelasticity as well as to electrical and electronic engineers who use thin-walled piezoelements. It is also be helpful for students and post-graduates specializing in mechanics and for scientists concerning asymptotic methods.

Author : Nellya N. Rogacheva
Publisher : CRC Press
Page : 270 pages
File Size : 45,6 Mb
Release : 2020-09-10
Category : Technology & Engineering
ISBN : 9781000141498

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The Theory of Piezoelectric Shells and Plates by Nellya N. Rogacheva Pdf

This is the first book devoted to a systematic description of the linear theory of piezoelectric shells and plates theory. The book contains two parts. In the first part, the theories for electroelastic thin-walled elements of arbitrary form with different directions of preliminary polarization are presented in an easy form for practical use. The approximate methods for integrating the equations of piezoelectric shells and plates are developed and applied for solving some engineering problems. In the second part, the theory of piezoelectric shells and plates is substantiated by the asymptotic method. The area of applicability for different kinds of electroelastic shell theories is studied. A new problem concerning the electroelastic phenomena at the edge of a thin-walled element is raised and solved. The Theory of Piezoelectric Shells and Plates will be valuable to researchers working in the field of electroelasticity as well as to electrical and electronic engineers who use thin-walled piezoelements. It is also be helpful for students and post-graduates specializing in mechanics and for scientists concerning asymptotic methods.

Author : Reinhold Kienzler,Holm Altenbach,Ingrid Ott
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 54,6 Mb
Release : 2013-06-01
Category : Science
ISBN : 9783540399056

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Theories of Plates and Shells by Reinhold Kienzler,Holm Altenbach,Ingrid Ott Pdf

Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Author : Erasmo Carrera,Salvatore Brischetto,Pietro Nali
Publisher : John Wiley & Sons
Page : 261 pages
File Size : 55,6 Mb
Release : 2011-08-24
Category : Science
ISBN : 9781119951124

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Plates and Shells for Smart Structures by Erasmo Carrera,Salvatore Brischetto,Pietro Nali Pdf

Smart structures that contain embedded piezoelectric patches are loaded by both mechanical and electrical fields. Traditional plate and shell theories were developed to analyze structures subject to mechanical loads. However, these often fail when tasked with the evaluation of both electrical and mechanical fields and loads. In recent years more advanced models have been developed that overcome these limitations. Plates and Shells for Smart Structures offers a complete guide and reference to smart structures under both mechanical and electrical loads, starting with the basic principles and working right up to the most advanced models. It provides an overview of classical plate and shell theories for piezoelectric elasticity and demonstrates their limitations in static and dynamic analysis with a number of example problems. This book also provides both analytical and finite element solutions, thus enabling the reader to compare strong and weak solutions to the problems. Key features: compares a large variety of classical and modern approaches to plates and shells, such as Kirchhoff-Love , Reissner-Mindlin assumptions and higher order, layer-wise and mixed theories introduces theories able to consider electromechanical couplings as well as those that provide appropriate interface continuity conditions for both electrical and mechanical variables considers both static and dynamic analysis accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given as well as solve problems of their own The models currently used have a wide range of applications in civil, automotive, marine and aerospace engineering. Researchers of smart structures, and structural analysts in industry, will find all they need to know in this concise reference. Graduate and postgraduate students of mechanical, civil and aerospace engineering can also use this book in their studies. www.mul2.com

Author : Hornsen (HS) Tzou
Publisher : Springer
Page : 456 pages
File Size : 45,5 Mb
Release : 2018-12-06
Category : Technology & Engineering
ISBN : 9789402412581

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Piezoelectric Shells by Hornsen (HS) Tzou Pdf

This book offers an introduction to piezoelectric shells and distributed sensing, energy harvesting and control applications. It familiarizes readers with a generic approach of piezoelectric shells and fundamental electromechanics of distributed piezoelectric sensors, energy harvesters and actuators applied to shell structures. The book is divided into two major parts, the first of which focuses on piezoelectric shell continua, while the second examines distributing sensing, energy harvesting and control of elastic continua, e.g., shells and plates. The exploitation of new, advanced multifunctional smart structures and structronic systems has been one of the mainstream research and development activities over the years. In the search for innovative structronics technologies, piezoelectric materials have proved to be very versatile in both sensor and actuator applications. Consequently, the piezoelectric technology has been applied to a broad range of practical applications, from small-scale nano- and micro-sensors/actuators to large-scale airplane and space structures and systems. The book provides practicing engineers and researchers with an introduction to advanced piezoelectric shell theories and distributed sensor/energy harvester/actuator technologies in the context of structural identification, energy harvesting and precision control. The book can also be used as a textbook for graduate students. This second edition contains substantial new materials, especially energy harvesting and experimental components, and has been updated and corrected for a new generation of readers.

Author : Lenser Aghalovyan
Publisher : World Scientific
Page : 376 pages
File Size : 52,7 Mb
Release : 2015-03-03
Category : Technology & Engineering
ISBN : 9789814579049

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Asymptotic Theory of Anisotropic Plates and Shells by Lenser Aghalovyan Pdf

A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied. The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation. Contents:Plane Problem for a Rectangular Elastic StripThe Winkler-Fuss ModelDirect Asymptotic Integration of 3D Elasticity Equations for Orthotropic PlatesMatching of the Outer Solution and the Boundary Layer for an Orthotropic PlateElastic Plates of General AnisotropyNon-Classical Boundary Value Problems for Anisotropic PlatesTwo-Layer Anisotropic Plates. The Modulus of a Layered FoundationAsymptotic Analysis of the Outer Problem for an Orthotropic ShellBoundary Layer in Orthotropic ShellsNon-Classical Boundary Value Problems for Anisotropic ShellsSpatial Dynamic Problems for Anisotropic Plates Readership: Researchers and specialists in applied mathematics and mechanical engineering, undergraduates and graduate students. Keywords:Asymptotic Theories;Beams;Plates;Shells;Problems of Elasticity Theory;Layered Thermoelastic Thin Structures;Elastic Foundations;Non-Classical Boundary Problems for Anisotropic Beams, Plates and Shells;Singularly Perturbed Systems;Boundary LayerKey Features:The book exposits consistent theory for composite thin walled elastic structures. The obtained results are applied to justification and refinement of ad hoc engineering structural theoriesThe effective solutions of a variety of boundary value problems are obtainedThere is a clear potential for numerous advanced industrial applications

Author : Francesco Tornabene,Nicholas Fantuzzi
Publisher : Società Editrice Esculapio
Page : 432 pages
File Size : 51,7 Mb
Release : 2017-01-09
Category : Technology & Engineering
ISBN : 9788893850018

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Theory of Laminated Composite Doubly-Curved Shell Structures by Francesco Tornabene,Nicholas Fantuzzi Pdf

This manuscript comes from the experience gained over thirteen years of study and research on shell structures. The title, Theory of Laminated Composite Doubly-Curved Shell Structures, illustrates the theme followed in the present volume. The present study aims to analyze the static and dynamic behavior of moderately thick shells made of composite materials. A particular attention is paid, other than fibrous and laminated composites, also to “Functionally graded materials” (FGMs). They are non-homogeneous materials, characterized by a continuous varia on of the mechanical properties through a particular direction. In particular, the present manuscript was written as an attempt to show, in an easy way, the theoretical aspects of doubly-curved composite shell structures. Furthermore, it focuses only on the theoretical aspects related to laminated composite doubly-curved shell structures and represents a shortened version of the book entitled: Mechanics of Laminated Composite Doubly-Curved Shell Structures by the same authors, wherein also the numerical part has been presented. The present volume is aimed at Master degree and PhD students in structural and applied mechanics, as well as experts in these fields. The present volume is divided into six chapters, in which static and dynamic analyses of several structural elements are provided in detail. Furthermore, the results of the adopted numerical technique are presented for several problems such as different loading and boundary conditions.

Author : Henry Frank Tiersten
Publisher : Springer
Page : 216 pages
File Size : 42,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489964533

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Linear Piezoelectric Plate Vibrations by Henry Frank Tiersten Pdf

Author : Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski
Publisher : Springer Nature
Page : 798 pages
File Size : 42,7 Mb
Release : 2019-09-25
Category : Technology & Engineering
ISBN : 9783030177478

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Recent Developments in the Theory of Shells by Holm Altenbach,Jacek Chróścielewski,Victor A. Eremeyev,Krzysztof Wiśniewski Pdf

This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.

Author : Francesco Tornabene,Nicholas Fantuzzi
Publisher : Società Editrice Esculapio
Page : 824 pages
File Size : 54,5 Mb
Release : 2014-03-01
Category : Technology & Engineering
ISBN : 9788874886876

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Mechanics of laminated Composite doubly-curvel shell structures by Francesco Tornabene,Nicholas Fantuzzi Pdf

This manuscript comes from the experience gained over ten years of study and research on shell structures and on the Generalized Differential Quadrature method. The title, Mechanics of Laminated Composite Doubly-Curved Shell Structures, illustrates the theme followed in the present volume. The present study aims to analyze the static and dynamic behavior of moderately thick shells made of composite materials through the application of the Differential Quadrature (DQ) technique. A particular attention is paid, other than fibrous and laminated composites, also to “Functionally Graded Materials” (FGMs). They are non-homogeneous materials, characterized by a continuous variation of the mechanical properties through a particular direction. The GDQ numerical solution is compared, not only with literature results, but also with the ones supplied and obtained through the use of different structural codes based on the Finite Element Method (FEM). Furthermore, an advanced version of GDQ method is also presented. This methodology is termed Strong Formulation Finite Element Method (SFEM) because it employs the strong form of the differential system of equations at the master element level and the mapping technique, proper of FEM. The connectivity between two elements is enforced through compatibility conditions.

Author : Francesco Tornabene,Michele Bacciocchi,Nicholas Fantuzzi,Erasmo Viola
Publisher : Società Editrice Esculapio
Page : 788 pages
File Size : 54,6 Mb
Release : 2016-05-17
Category : Technology & Engineering
ISBN : 9788874889570

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Laminated Composite Doubly-Curved Shell Structures by Francesco Tornabene,Michele Bacciocchi,Nicholas Fantuzzi,Erasmo Viola Pdf

The title, “Laminated Composite Doubly-Curved Shell Structures. Differential al Geometry and Higher-order Theories” illustrates the theme treated and the prospective followed during the composition of the present work. The aim of this manuscript is to analyze the static and dynamic behavior of thick and moderately thick composite shells through the application of the Differential Quadrature (DQ) method. The book is divided into two volumes wherein the principal higher order structural theories are illustrated in detail and the mechanical behavior of doubly-curved structures are presented by several static and dynamic numerical applications. In particular, the first volume is mainly theoretical, whereas the second one is mainly related to the numerical DQ technique and its applications in the structural field. The starting point to analyze higher-order structural theories is given by the so-called Unified Formulation (UF), which allows to consider and study several kinematic models in a unified manner. Both the Equivalent Single Layer (ESL) and Layer-Wise (LW) approaches are presented. A particular attention is paid to composite materials, due to their increasing development and use in many engineering fields during the last years.

Author : Nellya N. Rogacheva
Publisher : CRC Press
Page : 270 pages
File Size : 50,9 Mb
Release : 1994-03-28
Category : Technology & Engineering
ISBN : 084934459X

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The Theory of Piezoelectric Shells and Plates by Nellya N. Rogacheva Pdf

This is the first book devoted to a systematic description of the linear theory of piezoelectric shells and plates theory. The book contains two parts. In the first part, the theories for electroelastic thin-walled elements of arbitrary form with different directions of preliminary polarization are presented in an easy form for practical use. The approximate methods for integrating the equations of piezoelectric shells and plates are developed and applied for solving some engineering problems. In the second part, the theory of piezoelectric shells and plates is substantiated by the asymptotic method. The area of applicability for different kinds of electroelastic shell theories is studied. A new problem concerning the electroelastic phenomena at the edge of a thin-walled element is raised and solved. The Theory of Piezoelectric Shells and Plates will be valuable to researchers working in the field of electroelasticity as well as to electrical and electronic engineers who use thin-walled piezoelements. It is also be helpful for students and post-graduates specializing in mechanics and for scientists concerning asymptotic methods.

Author : Jiashi Yang
Publisher : World Scientific
Page : 315 pages
File Size : 41,9 Mb
Release : 2020-09-18
Category : Technology & Engineering
ISBN : 9789811226816

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Mechanics Of Piezoelectric Structures (Second Edition) by Jiashi Yang Pdf

As a continuation of the author's previous book An Introduction to the Theory of Piezoelectricity (Springer, New York, 2005) on the three-dimensional theory of piezoelectricity, this book covers one- and two-dimensional theories of piezoelectric structures including rods, beams, plates and shells. In addition to the so-called low-frequency motions of extension and bending, high-frequency motions of thickness shear and thickness stretch are also considered for certain applications unique in resonant piezoelectric devices. Both single-layer and multi-layer structures are treated. Nonlinear effects due to large deflection or large shear deformation are also discussed. The emphasis in on the development of structural theories with various levels of sophistication for different applications in piezoelectric devices.The book is heavily influenced by R D Mindlin's early contributions to this field. It is destined to be one of the most systematic and comprehensive books on piezoelectric structures. This second edition is a major reorganization of the first edition with multiple additions as well as deletion of chapters and sections.

Author : Jiashi Yang
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 45,8 Mb
Release : 2006-06-14
Category : Technology & Engineering
ISBN : 9780387235462

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An Introduction to the Theory of Piezoelectricity by Jiashi Yang Pdf

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 : Francesco Tornabene,Michele Bacciocchi
Publisher : Società Editrice Esculapio
Page : 1199 pages
File Size : 53,7 Mb
Release : 2019-11-01
Category : Technology & Engineering
ISBN : 9788835328995

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Anisotropic Doubly-Curved Shells by Francesco Tornabene,Michele Bacciocchi Pdf

This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are developed to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are presented, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. Finally, two numerical techniques, named Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are developed to deal with multi-element domains characterized by arbitrary shapes and discontinuities.