Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates An By R D Mindlin

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An Introduction to the Mathematical Theory of Vibrations of Elastic Plates

Author : Raymond David Mindlin
Publisher : World Scientific
ISBN 13 : 9812703810
Total Pages : 211 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis An Introduction to the Mathematical Theory of Vibrations of Elastic Plates by : Raymond David Mindlin

Download or read book An Introduction to the Mathematical Theory of Vibrations of Elastic Plates written by Raymond David Mindlin and published by World Scientific. This book was released on 2006 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.

Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin

Author : Jiashi Yang
Publisher : World Scientific
ISBN 13 : 9814476544
Total Pages : 211 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin by : Jiashi Yang

Download or read book Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin written by Jiashi Yang and published by World Scientific. This book was released on 2006-12-29 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.

R.D. Mindlin and Applied Mechanics

Author : George Herrmann
Publisher : Elsevier
ISBN 13 : 1483155544
Total Pages : 304 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis R.D. Mindlin and Applied Mechanics by : George Herrmann

Download or read book R.D. Mindlin and Applied Mechanics written by George Herrmann and published by Elsevier. This book was released on 2013-10-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. D. Mindlin and Applied Mechanics is a collection of studies in the development of Applied Mechanics dedicated to Professor Raymond D. Mindlin by his former students. This book contains the development of specific areas of Mechanics of Solids to which Mindlin has contributed most. Organized into eight chapters, this text first discusses the past, present and likely future of photoelasticity. Subsequent chapters explore the development of the three-dimensional theory of elasticity; generalized elastic continua; bodies in contact with applications to granular media; and waves and vibrations in isotropic and anisotropic plates. Other chapters discuss the vibrations and wave propagation in rods, piezoelectric crystals, and electro-elasticity. Lastly, the lattice theories and continuum mechanics are described.

Mechanics Of Piezoelectric Structures (Second Edition)

Author : Jiashi Yang
Publisher : World Scientific
ISBN 13 : 9811226814
Total Pages : 315 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mechanics Of Piezoelectric Structures (Second Edition) by : Jiashi Yang

Download or read book Mechanics Of Piezoelectric Structures (Second Edition) written by Jiashi Yang and published by World Scientific. This book was released on 2020-09-18 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

Author : Isaac E Elishakoff
Publisher : World Scientific
ISBN 13 : 9813236531
Total Pages : 798 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories by : Isaac E Elishakoff

Download or read book Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories written by Isaac E Elishakoff and published by World Scientific. This book was released on 2019-10-29 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)

The History of the Theory of Structures

Author : Karl-Eugen Kurrer
Publisher : John Wiley & Sons
ISBN 13 : 3433601348
Total Pages : 864 pages
Book Rating : 4.4/5 (336 download)

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Book Synopsis The History of the Theory of Structures by : Karl-Eugen Kurrer

Download or read book The History of the Theory of Structures written by Karl-Eugen Kurrer and published by John Wiley & Sons. This book was released on 2012-01-09 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the evolution of theory of structures and strength of materials - the development of the geometrical thinking of the Renaissance to become the fundamental engineering science discipline rooted in classical mechanics. Starting with the strength experiments of Leonardo da Vinci and Galileo, the author examines the emergence of individual structural analysis methods and their formation into theory of structures in the 19th century. For the first time, a book of this kind outlines the development from classical theory of structures to the structural mechanics and computational mechanics of the 20th century. In doing so, the author has managed to bring alive the differences between the players with respect to their engineering and scientific profiles and personalities, and to create an understanding for the social context. Brief insights into common methods of analysis, backed up by historical details, help the reader gain an understanding of the history of structural mechanics from the standpoint of modern engineering practice. A total of 175 brief biographies of important personalities in civil and structural engineering as well as structural mechanics plus an extensive bibliography round off this work.

Vibrations of Elastic Plates

Author : Yi-Yuan Yu
Publisher : Springer Science & Business Media
ISBN 13 : 1461223385
Total Pages : 234 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Vibrations of Elastic Plates by : Yi-Yuan Yu

Download or read book Vibrations of Elastic Plates written by Yi-Yuan Yu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on my experiences as a teacher and as a researcher for more than four decades. When I started teaching in the early 1950s, I became interested in the vibrations of plates and shells. Soon after I joined the Polytechnic Institute of Brooklyn as a professor, I began working busily on my research in vibrations of sandwich and layered plates and shells, and then teaching a graduate course on the same subject. Although I tried to put together my lecture notes into a book, I never finished it. Many years later, I came to the New Jersey Institute of Technology as the dean of engineering. When I went back to teaching and looked for some research areas to work on, I came upon laminated composites and piezoelectric layers, which appeared to be natural extensions of sandwiches. Working on these for the last several years has brought me a great deal of joy, since I still am able to find my work relevant. At least I can claim that I still am pursuing life-long learning as it is advocated by educators all over the country. This book is based on the research results I accumulated during these two periods of my work, the first on vibrations and dynamical model ing of sandwiches, and the second on laminated composites and piezoelec tric layers.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1006 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1960 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
ISBN 13 :
Total Pages : 1073 pages
Book Rating : 4.2/5 (224 download)

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Book Synopsis Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells by : Francesco Tornabene

Download or read book Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells written by Francesco Tornabene and published by Società Editrice Esculapio. This book was released on 2023-10-13 with total page 1073 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for studying the Hygro-Thermo-Magneto-Electro- Elastic Theory of Anisotropic Doubly-Curved Shells. In particular, a general coupled multifield theory regarding anisotropic shell structures is provided. The three-dimensional multifield problem is reduced in a two-dimensional one following the principles of the Equivalent Single Layer (ESL) approach and the Equivalent Layer-Wise (ELW) approach, setting a proper configuration model. According to the adopted configuration assumptions, several Higher-order Shear Deformation Theories (HSDTs) are obtained. Furthermore, 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 physical 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 used to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are considered, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. The Theory of Composite Thin Shells is derived in a simple and intuitive manner from the theory of thick and moderately thick shells (First-order Shear Deformation Theory or Reissner- Mindlin Theory). In particular, the Kirchhoff-Love Theory and the Membrane Theory for composite shells are shown. Furthermore, the Theory of Composite Arches and Beams is also exposed. In particular, the equations of the Timoshenko Theory and the Euler-Bernoulli Theory are directly deducted from the equations of singly-curved shells of translation and of plates.

Advances in Continuum Mechanics and Thermodynamics of Material Behavior

Author : Donald E. Carlson
Publisher : Springer Science & Business Media
ISBN 13 : 9401007284
Total Pages : 431 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Advances in Continuum Mechanics and Thermodynamics of Material Behavior by : Donald E. Carlson

Download or read book Advances in Continuum Mechanics and Thermodynamics of Material Behavior written by Donald E. Carlson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included in this volume were presented at the Symposium on Advances in the Continuum Mechanics and Thermodynamics of Material Behavior, held as part of the 1999 Joint ASME Applied Mechanics and Materials Summer Conference at Virginia Tech on June 27-30, 1999. The Symposium was held in honor of Professor Roger L. Fosdick on his 60th birthday. The papers are written by prominent researchers in the fields of mechanics, thermodynamics, materials modeling, and applied mathematics. They address open questions and present the latest development in these and related areas. This volume is a valuable reference for researchers and graduate students in universities and research laboratories.

Analysis of Piezoelectric Semiconductor Structures

Author : Jiashi Yang
Publisher : Springer Nature
ISBN 13 : 3030482065
Total Pages : 233 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Analysis of Piezoelectric Semiconductor Structures by : Jiashi Yang

Download or read book Analysis of Piezoelectric Semiconductor Structures written by Jiashi Yang and published by Springer Nature. This book was released on 2020-06-19 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mechanics of piezoelectric semiconductor structures where the main electromechanical coupling of interest is the interaction between mechanical fields and semiconduction. This volume stands as the first full book treatment of this multi-physical subject from the mechanics angle. The analysis of piezoelectric semiconductor structures and devices is an emerging and rapidly growing interdisciplinary area involving materials, electronics, and solid mechanics. It has direct applications in the new area of piezotronics and piezo-phototronics. The book is theoretical, beginning with a phenomenological framework and progressing to include solutions to problems fundamental to the theory and application. Dr. Yang illustrates how in piezoelectric semiconductors, mechanical fields interact with semiconduction through the piezoelectrically produced electric fields by mechanical loads. This provides the foundation of piezotronic and piezo-phototronic devices in which semiconduction is induced, affected, manipulated, or controlled by mechanical fields. Also discussing composite structures of piezoelectric dielectrics and nonpiezoelectric semiconductors as well as thermal effects, the book is an ideal basic reference on the topic for researchers.

Anisotropic Doubly-Curved Shells

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
ISBN 13 : 8835328993
Total Pages : 1199 pages
Book Rating : 4.8/5 (353 download)

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Book Synopsis Anisotropic Doubly-Curved Shells by : Francesco Tornabene

Download or read book Anisotropic Doubly-Curved Shells written by Francesco Tornabene and published by Società Editrice Esculapio. This book was released on 2019-11-01 with total page 1199 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Piezoelectricity, Acoustic Waves and Device Applications

Author :
Publisher :
ISBN 13 : 9814474851
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Piezoelectricity, Acoustic Waves and Device Applications by :

Download or read book Piezoelectricity, Acoustic Waves and Device Applications written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Laminated Composite Doubly-Curved Shell Structures

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
ISBN 13 : 889385001X
Total Pages : 432 pages
Book Rating : 4.8/5 (938 download)

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Book Synopsis Theory of Laminated Composite Doubly-Curved Shell Structures by : Francesco Tornabene

Download or read book Theory of Laminated Composite Doubly-Curved Shell Structures written by Francesco Tornabene and published by Società Editrice Esculapio. This book was released on 2017-01-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Supercomputers in Engineering II

Author : C.A. Brebbia
Publisher : Springer Science & Business Media
ISBN 13 : 9401136602
Total Pages : 542 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Applications of Supercomputers in Engineering II by : C.A. Brebbia

Download or read book Applications of Supercomputers in Engineering II written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises an edited version of the Proceedings of the 2nd Interna tional Conference on Applications of Supercomputers in Engineering which took place at the Massachusetts Institute of Technology, Cambridge, USA during August 1991. The Conference was organized by the Wessex Insti tute of Technology, Southampton, UK with the support of the International Society for Boundary Elements. The first International Conference on Ap plications of Supercomputers in Engineering held in Southampton, UK in September 1989 was a very successful meeting and the resulting Conference Proceedings are now widely distributed throughout the world. The revolutionary aspects of the next generation of computers are now fully recognised by many engineers and scientists. Vector and parallel computers form the basis of the computing power needed to address the complex prob lems with which engineers are faced. The new machines not only increase the size of the problems which can be solved, but also require a different computational approach to obtain the most efficient results.

Laminated Composite Doubly-Curved Shell Structures

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
ISBN 13 : 8874889577
Total Pages : 788 pages
Book Rating : 4.8/5 (748 download)

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Book Synopsis Laminated Composite Doubly-Curved Shell Structures by : Francesco Tornabene

Download or read book Laminated Composite Doubly-Curved Shell Structures written by Francesco Tornabene and published by Società Editrice Esculapio. This book was released on 2016-05-17 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mechanics of laminated Composite doubly-curvel shell structures

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
ISBN 13 : 887488687X
Total Pages : 824 pages
Book Rating : 4.8/5 (748 download)

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Book Synopsis Mechanics of laminated Composite doubly-curvel shell structures by : Francesco Tornabene

Download or read book Mechanics of laminated Composite doubly-curvel shell structures written by Francesco Tornabene and published by Società Editrice Esculapio. This book was released on 2014-03-01 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.