Shear Deformable Beams and Plates

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Author :
Publisher : Elsevier
ISBN 13 : 0080541151
Total Pages : 311 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Shear Deformable Beams and Plates by : C.M. Wang

Download or read book Shear Deformable Beams and Plates written by C.M. Wang and published by Elsevier. This book was released on 2000-07-19 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on the theory and analysis of beams and plates deal with the classical (Euler-Bernoulli/Kirchoff) theories but few include shear deformation theories in detail. The classical beam/plate theory is not adequate in providing accurate bending, buckling, and vibration results when the thickness-to-length ratio of the beam/plate is relatively large. This is because the effect of transverse shear strains, neglected in the classical theory, becomes significant in deep beams and thick plates. This book illustrates how shear deformation theories provide accurate solutions compared to the classical theory. Equations governing shear deformation theories are typically more complicated than those of the classical theory. Hence it is desirable to have exact relationships between solutions of the classical theory and shear deformation theories so that whenever classical theory solutions are available, the corresponding solutions of shear deformation theories can be readily obtained. Such relationships not only furnish benchmark solutions of shear deformation theories but also provide insight into the significance of shear deformation on the response. The relationships for beams and plates have been developed by many authors over the last several years. The goal of this monograph is to bring together these relationships for beams and plates in a single volume. The book is divided into two parts. Following the introduction, Part 1 consists of Chapters 2 to 5 dealing with beams, and Part 2 consists of Chapters 6 to 13 covering plates. Problems are included at the end of each chapter to use, extend, and develop new relationships.

Meshless Methods for Shear-deformable Beams and Plates

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Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (38 download)

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Book Synopsis Meshless Methods for Shear-deformable Beams and Plates by : Brian Michael Donning

Download or read book Meshless Methods for Shear-deformable Beams and Plates written by Brian Michael Donning and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theories and Analyses of Beams and Axisymmetric Circular Plates

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Author :
Publisher : CRC Press
ISBN 13 : 1000598462
Total Pages : 819 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Theories and Analyses of Beams and Axisymmetric Circular Plates by : J N Reddy

Download or read book Theories and Analyses of Beams and Axisymmetric Circular Plates written by J N Reddy and published by CRC Press. This book was released on 2022-06-30 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook compiles cutting-edge research on beams and circular plates, covering theories, analytical solutions, and numerical solutions of interest to students, researchers, and engineers working in industry. Detailing both classical and shear deformation theories, the book provides a complete study of beam and plate theories, their analytical (exact) solutions, variational solutions, and numerical solutions using the finite element method. Beams and plates are some of the most common structural elements used in many engineering structures. The book details both classical and advanced (i.e., shear deformation) theories, scaling in complexity to aid the reader in self-study, or to correspond with a taught course. It covers topics including equations of elasticity, equations of motion of the classical and first-order shear deformation theories, and analytical solutions for bending, buckling, and natural vibration. Additionally, it details static as well as transient response based on exact, the Navier, and variational solution approaches for beams and axisymmetric circular plates, and has dedicated chapters on linear and nonlinear finite element analysis of beams and circular plates. Theories and Analyses of Beams and Axisymmetric Circular Plates will be of interest to aerospace, civil, materials, and mechanical engineers, alongside students and researchers in solid and structural mechanics.

Meshless Methods for Shear-deformable Beams and Plates Based on Mixed Weak Forms

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (892 download)

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Book Synopsis Meshless Methods for Shear-deformable Beams and Plates Based on Mixed Weak Forms by : Jack Samuel Brand Hale

Download or read book Meshless Methods for Shear-deformable Beams and Plates Based on Mixed Weak Forms written by Jack Samuel Brand Hale and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Beam Structures

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Publisher : John Wiley & Sons
ISBN 13 : 1119951046
Total Pages : 171 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Beam Structures by : Erasmo Carrera

Download or read book Beam Structures written by Erasmo Carrera and published by John Wiley & Sons. This book was released on 2011-07-28 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beam theories are exploited worldwide to analyze civil, mechanical, automotive, and aerospace structures. Many beam approaches have been proposed during the last centuries by eminent scientists such as Euler, Bernoulli, Navier, Timoshenko, Vlasov, etc. Most of these models are problem dependent: they provide reliable results for a given problem, for instance a given section and cannot be applied to a different one. Beam Structures: Classical and Advanced Theories proposes a new original unified approach to beam theory that includes practically all classical and advanced models for beams and which has become established and recognised globally as the most important contribution to the field in the last quarter of a century. The Carrera Unified Formulation (CUF) has hierarchical properties, that is, the error can be reduced by increasing the number of the unknown variables. This formulation is extremely suitable for computer implementations and can deal with most typical engineering challenges. It overcomes the problem of classical formulae that require different formulas for tension, bending, shear and torsion; it can be applied to any beam geometries and loading conditions, reaching a high level of accuracy with low computational cost, and can tackle problems that in most cases are solved by employing plate/shell and 3D formulations. Key features: compares classical and modern approaches to beam theory, including classical well-known results related to Euler-Bernoulli and Timoshenko beam theories pays particular attention to typical applications related to bridge structures, aircraft wings, helicopters and propeller blades provides a number of numerical examples including typical Aerospace and Civil Engineering problems proposes many benchmark assessments to help the reader implement the CUF if they wish to do so 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 in the book as well as to solve other problems of their own www.mul2.com Researchers of continuum mechanics of solids and structures and structural analysts in industry will find this book extremely insightful. It will also be of great interest to graduate and postgraduate students of mechanical, civil and aerospace engineering.

Handbook on Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories

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Publisher :
ISBN 13 : 9789813236523
Total Pages : 800 pages
Book Rating : 4.2/5 (365 download)

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Book Synopsis Handbook on Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories by : Isaac Elishakoff

Download or read book Handbook on Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories written by Isaac Elishakoff and published by . This book was released on 2019 with total page 800 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."--

Modern Trends in Structural and Solid Mechanics 2

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Publisher : John Wiley & Sons
ISBN 13 : 1119831849
Total Pages : 306 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Modern Trends in Structural and Solid Mechanics 2 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 2 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprised of three separate volumes presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members. Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Recent Approaches in the Theory of Plates and Plate-Like Structures

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Author :
Publisher : Springer
ISBN 13 : 9783030871871
Total Pages : 0 pages
Book Rating : 4.8/5 (718 download)

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Book Synopsis Recent Approaches in the Theory of Plates and Plate-Like Structures by : Holm Altenbach

Download or read book Recent Approaches in the Theory of Plates and Plate-Like Structures written by Holm Altenbach and published by Springer. This book was released on 2022-12-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.

Linear Theory

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Publisher : Academic Press
ISBN 13 : 1483276716
Total Pages : 676 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Linear Theory by : A. Cemal Eringen

Download or read book Linear Theory written by A. Cemal Eringen and published by Academic Press. This book was released on 2013-10-22 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastodynamics, Volume II: Linear Theory is a continuation of Volume I and discusses the dynamical theory of linear isotropic elasticity. The volume deals with the fundamental theorems regarding elastodynamics and the different mathematical methods of solution and their employment in one, two, and three dimensions. The text outlines the fundamentals of linear elastodynamics and explains basic equations, displacement formulation, stress formulation, and the uniqueness theorem of elastodynamics. The book also investigates elastodynamic problems involving one-space dimension in governing boundaries, equations, and initial conditions. The book then compares two-dimensional problems as being subject to more precise mathematical analysis compared to three-dimensional situations by using scalar wave equations. The text then analyzes elastodynamic problems in three space dimensions when the solution depends on the condition of separability of the vector wave equation and the satisfaction of the boundary conditions. The diffraction of elastic waves is also described using two approaches: the integral equation method or the Eigen function technique. The book can prove valuable to researchers and practitioners whose work involves advanced statistics, general physics, and thermodynamics.

Theories and Applications of Plate Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 9780471429890
Total Pages : 1062 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Theories and Applications of Plate Analysis by : Rudolph Szilard

Download or read book Theories and Applications of Plate Analysis written by Rudolph Szilard and published by John Wiley & Sons. This book was released on 2004-01-02 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by a renowned structural engineer offers comprehensive coverage of both static and dynamic analysis of plate behavior, including classical, numerical, and engineering solutions. It contains more than 100 worked examples showing step by step how the various types of analysis are performed.

Advances in the Mechanics of Plates and Shells

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402003806
Total Pages : 380 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Advances in the Mechanics of Plates and Shells by : D. Durban

Download or read book Advances in the Mechanics of Plates and Shells written by D. Durban and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The optimal control of flexible structures is an active area of research. The main body of work in this area is concerned with the control of time-dependent displacements and stresses, and assumes linear elastic conditions, namely linear elastic material behavior and small defor- tion. See, e. g. , [1]–[3], the collections of papers [4, 5], and references therein. On the other hand, in the present paper we consider the static optimal control of a structure made of a nonlinear elastic material and und- going large deformation. An important application is the suppression of static or quasi-static elastic deformation in flexible space structures such as parts of satellites by the use of control loads [6]. Solar rad- tion and radiation from other sources induce a temperature field in the structure, which in turn generates an elastic displacement field. The displacements must usually satisfy certain limitations dictated by the allowed working conditions of various orientation-sensitive instruments and antennas in the space vehicle. For example, a parabolic reflector may cease to be effective when undergoing large deflection. The elastic deformation can be reduced by use of control loads, which may be imp- mented via mechanically-based actuators or more modern piezoelectric devices. When the structure under consideration is made of a rubb- like material and is undergoing large deformation, nonlinear material and geometric effects must be taken into account in the analysis.

Shear Deformation in Elastic Beams and Plates

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (256 download)

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Book Synopsis Shear Deformation in Elastic Beams and Plates by : Philip Reginald Stuart Speare

Download or read book Shear Deformation in Elastic Beams and Plates written by Philip Reginald Stuart Speare and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Buckling and Postbuckling of Beams, Plates, and Shells

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Publisher : Springer
ISBN 13 : 3319623680
Total Pages : 603 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Buckling and Postbuckling of Beams, Plates, and Shells by : M. Reza Eslami

Download or read book Buckling and Postbuckling of Beams, Plates, and Shells written by M. Reza Eslami and published by Springer. This book was released on 2017-11-03 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.

Formulas for Dynamics, Acoustics and Vibration

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Publisher : John Wiley & Sons
ISBN 13 : 1119038219
Total Pages : 464 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Formulas for Dynamics, Acoustics and Vibration by : Robert D. Blevins

Download or read book Formulas for Dynamics, Acoustics and Vibration written by Robert D. Blevins and published by John Wiley & Sons. This book was released on 2016-05-03 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: With Over 60 tables, most with graphic illustration, and over 1000 formulas, Formulas for Dynamics, Acoustics, and Vibration will provide an invaluable time-saving source of concise solutions for mechanical, civil, nuclear, petrochemical and aerospace engineers and designers. Marine engineers and service engineers will also find it useful for diagnosing their machines that can slosh, rattle, whistle, vibrate, and crack under dynamic loads.

MATLAB Codes for Finite Element Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1402092008
Total Pages : 236 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis MATLAB Codes for Finite Element Analysis by : A. J. M. Ferreira

Download or read book MATLAB Codes for Finite Element Analysis written by A. J. M. Ferreira and published by Springer Science & Business Media. This book was released on 2008-11-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book intend to supply readers with some MATLAB codes for ?nite element analysis of solids and structures. After a short introduction to MATLAB, the book illustrates the ?nite element implementation of some problems by simple scripts and functions. The following problems are discussed: • Discrete systems, such as springs and bars • Beams and frames in bending in 2D and 3D • Plane stress problems • Plates in bending • Free vibration of Timoshenko beams and Mindlin plates, including laminated composites • Buckling of Timoshenko beams and Mindlin plates The book does not intends to give a deep insight into the ?nite element details, just the basic equations so that the user can modify the codes. The book was prepared for undergraduate science and engineering students, although it may be useful for graduate students. TheMATLABcodesofthisbookareincludedinthedisk.Readersarewelcomed to use them freely. The author does not guarantee that the codes are error-free, although a major e?ort was taken to verify all of them. Users should use MATLAB 7.0 or greater when running these codes. Any suggestions or corrections are welcomed by an email to [email protected].

Mechanics of Laminated Composite Plates and Shells

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Publisher : CRC Press
ISBN 13 : 9780849331015
Total Pages : 800 pages
Book Rating : 4.3/5 (31 download)

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Book Synopsis Mechanics of Laminated Composite Plates and Shells by : J. N. Reddy

Download or read book Mechanics of Laminated Composite Plates and Shells written by J. N. Reddy and published by CRC Press. This book was released on 1996-11-19 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composite materials are used in all kinds of engineering structures, medical prosthetic devices, electronic circuit boards, and sports equipment. The subject of these materials is an interdisciplinary area where chemists, material scientists, and chemical, mechanical, and structural engineers contribute to the overall product. This book presents, for the first time, detailed coverage of traditional theories and higher-order theories of laminated composite materials. Much of the text is based on the author's original work on refined theories of laminated composite plates and shells, and analytical and finite element solutions. In addition, the book reviews the basics including mathematical preliminaries, virtual work principles, and variational methods. Mechanics of Laminated Composite Plates: Theory and Analysis makes a great textbook for graduate-level courses on theory and/or analysis of composite laminates, and can be conveniently divided into two sections: Chapters 1-8 for an introductory course, and 9-13 for the advanced course.

Advanced Mechanics of Materials

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Publisher : John Wiley & Sons
ISBN 13 : 0471438812
Total Pages : 715 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Advanced Mechanics of Materials by : Arthur P. Boresi

Download or read book Advanced Mechanics of Materials written by Arthur P. Boresi and published by John Wiley & Sons. This book was released on 2002-10-22 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the success of five previous editions, this new sixth edition continues to present a unified approach to the study of the behavior of structural members and the development of design and failure criteria. The text treats each type of structural member in sufficient detail so that the resulting solutions are directly applicable to real-world problems. New examples for various types of member and a large number of new problems are included. To facilitate the transition from elementary mechanics of materials to advanced topics, a review of the elements of mechanics of materials is presented along with appropriate examples and problems.