Development of a Finite Element Technique to Model Piezoelectric Structures

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Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (21 download)

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Book Synopsis Development of a Finite Element Technique to Model Piezoelectric Structures by : Alan R. Barnett

Download or read book Development of a Finite Element Technique to Model Piezoelectric Structures written by Alan R. Barnett and published by . This book was released on 1989 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Theory of Piezoelectricity

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Publisher : Springer Science & Business Media
ISBN 13 : 0387235469
Total Pages : 310 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis An Introduction to the Theory of Piezoelectricity by : Jiashi Yang

Download or read book An Introduction to the Theory of Piezoelectricity written by Jiashi Yang and published by Springer Science & Business Media. This book was released on 2006-06-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Smoothed Finite Element Methods

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Publisher : CRC Press
ISBN 13 : 1439820287
Total Pages : 694 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Smoothed Finite Element Methods by : G.R. Liu

Download or read book Smoothed Finite Element Methods written by G.R. Liu and published by CRC Press. This book was released on 2016-04-19 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only requires a triangular/tetrahedral mesh to achieve mo

A finite element method for dynamics of piezoelectric structural components

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Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis A finite element method for dynamics of piezoelectric structural components by : Sung-Kie Youn

Download or read book A finite element method for dynamics of piezoelectric structural components written by Sung-Kie Youn and published by . This book was released on 1987 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Scaled Boundary Finite Element Method

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Publisher : John Wiley & Sons
ISBN 13 : 9780471486824
Total Pages : 398 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Scaled Boundary Finite Element Method by : John P. Wolf

Download or read book The Scaled Boundary Finite Element Method written by John P. Wolf and published by John Wiley & Sons. This book was released on 2003-03-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.

Piezoelectric Energy Harvesting

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Publisher : John Wiley & Sons
ISBN 13 : 1119991358
Total Pages : 377 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Piezoelectric Energy Harvesting by : Alper Erturk

Download or read book Piezoelectric Energy Harvesting written by Alper Erturk and published by John Wiley & Sons. This book was released on 2011-04-04 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transformation of vibrations into electric energy through the use of piezoelectric devices is an exciting and rapidly developing area of research with a widening range of applications constantly materialising. With Piezoelectric Energy Harvesting, world-leading researchers provide a timely and comprehensive coverage of the electromechanical modelling and applications of piezoelectric energy harvesters. They present principal modelling approaches, synthesizing fundamental material related to mechanical, aerospace, civil, electrical and materials engineering disciplines for vibration-based energy harvesting using piezoelectric transduction. Piezoelectric Energy Harvesting provides the first comprehensive treatment of distributed-parameter electromechanical modelling for piezoelectric energy harvesting with extensive case studies including experimental validations, and is the first book to address modelling of various forms of excitation in piezoelectric energy harvesting, ranging from airflow excitation to moving loads, thus ensuring its relevance to engineers in fields as disparate as aerospace engineering and civil engineering. Coverage includes: Analytical and approximate analytical distributed-parameter electromechanical models with illustrative theoretical case studies as well as extensive experimental validations Several problems of piezoelectric energy harvesting ranging from simple harmonic excitation to random vibrations Details of introducing and modelling piezoelectric coupling for various problems Modelling and exploiting nonlinear dynamics for performance enhancement, supported with experimental verifications Applications ranging from moving load excitation of slender bridges to airflow excitation of aeroelastic sections A review of standard nonlinear energy harvesting circuits with modelling aspects.

Finite Element Analysis of Active and Sensory Thermopiezoelectric Composite Materials

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Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Finite Element Analysis of Active and Sensory Thermopiezoelectric Composite Materials by : Ho-Jun Lee

Download or read book Finite Element Analysis of Active and Sensory Thermopiezoelectric Composite Materials written by Ho-Jun Lee and published by . This book was released on 2000 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical formulations are developed to account for the coupled mechanical, electrical, and thermal response of piezoelectric composite materials. The coupled response is captured at the material level through the thermopiezoelectric constitutive equations and leads to the inherent capability to model both the sensory and active responses of piezoelectric materials. A layerwise laminate theory is incorporated to provide more accurate analysis of the displacements, strains, stresses, electric fields, and thermal fields through-the-thickness. Thermal effects which arise from coefficient of thermal expansion mismatch, pyroelectric effects, and temperature dependent material properties are explicitly accounted for in the formulation. Corresponding finite element formulations are developed for piezoelectric beam, plate, and shell elements to provide a more generalized capability for the analysis of arbitrary piezoelectric composite structures. The accuracy of the current formulation is verified with comparisons from published experimental data and other analytical models. Additional numerical studies are also conducted to demonstrate additional capabilities of the formulation to represent the sensory and active behaviors. A future plan of experimental studies is provided to characterize the high temperature dynamic response of piezoelectric composite materials.

The Finite Element Method: Solid mechanics

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Publisher : Butterworth-Heinemann
ISBN 13 : 9780750650557
Total Pages : 482 pages
Book Rating : 4.6/5 (55 download)

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Book Synopsis The Finite Element Method: Solid mechanics by : O. C. Zienkiewicz

Download or read book The Finite Element Method: Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Element Model of Structures with Piezoelectric Elements

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Publisher :
ISBN 13 :
Total Pages : 370 pages
Book Rating : 4.:/5 (29 download)

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Book Synopsis Finite Element Model of Structures with Piezoelectric Elements by : Marcias Martinez

Download or read book Finite Element Model of Structures with Piezoelectric Elements written by Marcias Martinez and published by . This book was released on 2006 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perusal of the Finite Element Method

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Publisher : BoD – Books on Demand
ISBN 13 : 9535128191
Total Pages : 276 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Perusal of the Finite Element Method by : Radostina Petrova

Download or read book Perusal of the Finite Element Method written by Radostina Petrova and published by BoD – Books on Demand. This book was released on 2016-12-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) is a numerical technique for finding approximate solutions to different numerical problems. The practical applications of FEM are known as finite element analysis (FEA). FEA is a good choice for analyzing problems over complicated domains. The first three chapters of this book contribute to the development of new FE techniques by examining a few key hurdles of the FEM and proposing techniques to mitigate them. The next four chapters focus on the close connection between the development of a new technique and its implementation. Current state-of-the-art software packages for FEA allow the construction, refinement, and optimization of entire designs before manufacturing. This is convincingly demonstrated in the last three chapters of the book with examples from the field of biomechanical engineering. This book presents a current research by highlighting the vitality and potential of the finite elements for the future development of more efficient numerical techniques, new areas of application, and FEA's important role in practical engineering.

Vibrations of Linear Piezostructures

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Publisher : John Wiley & Sons
ISBN 13 : 1119393507
Total Pages : 256 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Vibrations of Linear Piezostructures by : Andrew J. Kurdila

Download or read book Vibrations of Linear Piezostructures written by Andrew J. Kurdila and published by John Wiley & Sons. This book was released on 2021-05-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough guide to the fundamental development of linear piezoelectricity for vibrations Vibrations of Linear Piezostructures is an introductory text that offers a concise examination of the general theory of vibrations of linear piezostructures. This important book brings together in one comprehensive volume the most current information on the theory for modeling and analysis of piezostructures. The authors explore the fundamental principles of piezostructures, review the relevant mathematics, continuum mechanics and elasticity, and continuum electrodynamics as they are applied to electromechanical piezostructures, and include the work that pertains to linear constitutive laws of piezoelectricity. The book addresses modeling of linear piezostructures via Newton’s approach and Variational Methods. In addition, the authors explore the weak and strong forms of the equations of motion, Galerkin approximation methods for the weak form, Fourier or modal methods, and finite element methods. This important book: Covers the fundamental developments to vibrational theory for linear piezostructures Provides an introduction to continuum mechanics, elasticity, electrodynamics, variational calculus, and applied mathematics Offers in-depth coverage of Newton’s formulation of the equations of motion of vibrations of piezo-structures Discusses the variational methods for generation of equations of motion of piezo-structures Written for students, professionals, and researchers in the field, Vibrations of Linear Piezostructures is an up-to-date volume to the fundamental development of linear piezoelectricity for vibrations from initial development to fully modeled systems using various methods.

Extended Finite Element Method

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Publisher : John Wiley & Sons
ISBN 13 : 1118457684
Total Pages : 600 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Extended Finite Element Method by : Amir R. Khoei

Download or read book Extended Finite Element Method written by Amir R. Khoei and published by John Wiley & Sons. This book was released on 2015-02-23 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Applications of ATILA FEM Software to Smart Materials

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Publisher : Elsevier
ISBN 13 : 0857096311
Total Pages : 411 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Applications of ATILA FEM Software to Smart Materials by : Kenji Uchino

Download or read book Applications of ATILA FEM Software to Smart Materials written by Kenji Uchino and published by Elsevier. This book was released on 2012-11-27 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: ATILA Finite Element Method (FEM) software facilitates the modelling and analysis of applications using piezoelectric, magnetostrictor and shape memory materials. It allows entire designs to be constructed, refined and optimized before production begins. Through a range of instructive case studies, Applications of ATILA FEM software to smart materials provides an indispensable guide to the use of this software in the design of effective products.Part one provides an introduction to ATILA FEM software, beginning with an overview of the software code. New capabilities and loss integration are discussed, before part two goes on to present case studies of finite element modelling using ATILA. The use of ATILA in finite element analysis, piezoelectric polarization, time domain analysis of piezoelectric devices and the design of ultrasonic motors is considered, before piezo-composite and photonic crystal applications are reviewed. The behaviour of piezoelectric single crystals for sonar and thermal analysis in piezoelectric and magnetostrictive materials is also discussed, before a final reflection on the use of ATILA in modelling the damping of piezoelectric structures and the behaviour of single crystal devices.With its distinguished editors and international team of expert contributors, Applications of ATILA FEM software to smart materials is a key reference work for all those involved in the research, design, development and application of smart materials, including electrical and mechanical engineers, academics and scientists working in piezoelectrics, magenetostrictors and shape memory materials. Provides an indispensable guide to the use of ATILA FEM software in the design of effective products Discusses new capabilities and loss integration of the software code, before presenting case studies of finite element modelling using ATILA Discusses the behaviour of piezoelectric single crystals for sonar and thermal analysis in piezoelectric and magnetostrictive materials, before a reflection on the use of ATILA in modelling the damping of piezoelectric structures

Mechatronics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402046960
Total Pages : 200 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mechatronics by : A. Preumont

Download or read book Mechatronics written by A. Preumont and published by Springer Science & Business Media. This book was released on 2006-09-09 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume treats Lagrange equations for electromechanical systems, including piezoelectric transducers and selected applications. It is essentially an extension to piezoelectric systems of the work by Crandall et al.:"Dynamics of Mechanical and Electromechanical Systems", published in 1968. The first three chapters contain classical material based on this and other well known standard texts in the field. Some applications are new and include material not published in a monograph before.

Smoothed Finite Element Methods

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Publisher : CRC Press
ISBN 13 : 9781439820278
Total Pages : 691 pages
Book Rating : 4.8/5 (22 download)

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Book Synopsis Smoothed Finite Element Methods by : G.R. Liu

Download or read book Smoothed Finite Element Methods written by G.R. Liu and published by CRC Press. This book was released on 2010-06-08 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only requires a triangular/tetrahedral mesh to achieve more accurate results, a generally higher convergence rate in energy without increasing computational cost, and easier auto-meshing of the problem domain. Drawing on the authors’ extensive research results, Smoothed Finite Element Methods presents the theoretical framework and development of various S-FEM models. After introducing background material, basic equations, and an abstracted version of the FEM, the book discusses the overall modeling procedure, fundamental theories, error assessment matters, and necessary building blocks to construct useful S-FEM models. It then focuses on several specific S-FEM models, including cell-based (CS-FEM), node-based (NS-FEM), edge-based (ES-FEM), face-based (FS-FEM), and a combination of FEM and NS-FEM (αFEM). These models are then applied to a wide range of physical problems in solid mechanics, fracture mechanics, viscoelastoplasticity, plates, piezoelectric structures, heat transfer, and structural acoustics. Requiring no previous knowledge of FEM, this book shows how computational methods and numerical techniques like the S-FEM help in the design and analysis of advanced engineering systems in rapid and cost-effective ways since the modeling and simulation can be performed automatically in a virtual environment without physically building the system. Readers can easily apply the methods presented in the text to their own engineering problems for reliable and certified solutions.

Engineering Analysis of Smart Material Systems

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Publisher : John Wiley & Sons
ISBN 13 : 0471684775
Total Pages : 574 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Engineering Analysis of Smart Material Systems by : Donald J. Leo

Download or read book Engineering Analysis of Smart Material Systems written by Donald J. Leo and published by John Wiley & Sons. This book was released on 2007-09-10 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a pedagogical approach that emphasizes the physical processes of active materials and the design and control of engineering systems. It will also be a reference text for practicing engineers who might understand the basic principles of active materials but have an interest in learning more about specific applications. The text includes a number of worked examples, design problems, and homework problems (with a solutions manual) that will be useful for both instructors and practicing engineers.

The Scaled Boundary Finite Element Method

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Publisher : John Wiley & Sons
ISBN 13 : 1119388457
Total Pages : 775 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis The Scaled Boundary Finite Element Method by : Chongmin Song

Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.