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."--

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

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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)

Mechanics of Heterogeneous Materials

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Publisher : Springer Nature
ISBN 13 : 3031287444
Total Pages : 533 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Mechanics of Heterogeneous Materials by : Holm Altenbach

Download or read book Mechanics of Heterogeneous Materials written by Holm Altenbach and published by Springer Nature. This book was released on 2023-07-12 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is published on dedication of Prof. Dr. Igor Sevostianov who passed away in 2021. He was a great Russian-American scientist who made significant contributions in the field of mechanics of heterogeneous media. This book contains research papers from his friends and colleagues in this research field.

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

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Publisher : Springer Nature
ISBN 13 : 3030871851
Total Pages : 326 pages
Book Rating : 4.0/5 (38 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 Nature. This book was released on 2022-01-01 with total page 326 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.

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.

Modern Trends in Structural and Solid Mechanics 1

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Publisher : John Wiley & Sons
ISBN 13 : 1786307146
Total Pages : 306 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Modern Trends in Structural and Solid Mechanics 1 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 1 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 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 first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Modern Trends in Structural and Solid Mechanics 3

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Publisher : John Wiley & Sons
ISBN 13 : 1786307189
Total Pages : 306 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Modern Trends in Structural and Solid Mechanics 3 by : Noel Challamel

Download or read book Modern Trends in Structural and Solid Mechanics 3 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-29 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 third volume is devoted to non-deterministic mechanics. Modern Trends in Structural and Solid Mechanics 3 has broad scope, covering topics such: design optimization under uncertainty, interval field approaches, convex analysis, quantum inspired topology optimization and stochastic dynamics. The book is illustrated by many applications in the field of aerospace engineering, mechanical engineering, civil engineering, biomedical engineering and automotive engineering. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Advanced Methods of Structural Analysis

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Publisher : Springer Nature
ISBN 13 : 3030443949
Total Pages : 824 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Advanced Methods of Structural Analysis by : Igor A. Karnovsky

Download or read book Advanced Methods of Structural Analysis written by Igor A. Karnovsky and published by Springer Nature. This book was released on 2021-03-16 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and significantly expanded edition contains a rigorous examination of key concepts, new chapters and discussions within existing chapters, and added reference materials in the appendix, while retaining its classroom-tested approach to helping readers navigate through the deep ideas, vast collection of the fundamental methods of structural analysis. The authors show how to undertake the numerous analytical methods used in structural analysis by focusing on the principal concepts, detailed procedures and results, as well as taking into account the advantages and disadvantages of each method and sphere of their effective application. The end result is a guide to mastering the many intricacies of the range of methods of structural analysis. The book differentiates itself by focusing on extended analysis of beams, plane and spatial trusses, frames, arches, cables and combined structures; extensive application of influence lines for analysis of structures; simple and effective procedures for computation of deflections; introduction to plastic analysis, stability, and free and forced vibration analysis, as well as some special topics. Ten years ago, Professor Igor A. Karnovsky and Olga Lebed crafted a must-read book. Now fully updated, expanded, and titled Advanced Methods of Structural Analysis (Strength, Stability, Vibration), the book is ideal for instructors, civil and structural engineers, as well as researches and graduate and post graduate students with an interest in perfecting structural analysis.

Bifurcation and Buckling in Structures

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Publisher : CRC Press
ISBN 13 : 1000508579
Total Pages : 278 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Bifurcation and Buckling in Structures by : Kiyohiro Ikeda

Download or read book Bifurcation and Buckling in Structures written by Kiyohiro Ikeda and published by CRC Press. This book was released on 2021-12-30 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bifurcation and Buckling in Structures describes the theory and analysis of bifurcation and buckling in structures. Emphasis is placed on a general procedure for solving nonlinear governing equations and an analysis procedure related to the finite-element method. Simple structural examples using trusses, columns, and frames illustrate the principles. Part I presents fundamental issues such as the general mathematical framework for bifurcation and buckling, procedures for the buckling load/mode analyses, and numerical analysis procedures to trace the solution curves and switch to bifurcation solutions. Advanced topics include asymptotic theory of bifurcation and bifurcation theory of symmetric systems. Part II deals with buckling of perfect and imperfect structures. An overview of the member buckling of columns and beams is provided, followed by the buckling analysis of truss and frame structures. The worst and random imperfections are studied as advanced topics. An extensive review of the history of buckling is presented. This text is ideal for advanced undergraduate and graduate students in engineering and applied mathematics. To assist readers, problems are listed at the end of each chapter, and their answers are given at the end of the book. Kiyohiro Ikeda is Professor Emeritus at Tohoku University, Japan. Kazuo Murota is a Project Professor at the Institute of Statistical Mathematics, Japan, as well as Professor Emeritus at the University of Tokyo, Kyoto University, and Tokyo Metropolitan University, Japan.

Sixty Shades of Generalized Continua

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Publisher : Springer Nature
ISBN 13 : 3031261860
Total Pages : 781 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Sixty Shades of Generalized Continua by : Holm Altenbach

Download or read book Sixty Shades of Generalized Continua written by Holm Altenbach and published by Springer Nature. This book was released on 2023-02-13 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, well-known scientists discuss modern aspects of generalized continua, in order to better understand modern materials and advanced structures. They possess complicated internal structure, and it requires the development of new approaches to model such structures and new effects caused by it. This book combines fundamental contributions in honor of Victor Eremeyev and his 60th birthday.

Nonlinear Dispersive Waves

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Publisher : Springer Nature
ISBN 13 : 3031635124
Total Pages : 288 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Nonlinear Dispersive Waves by : David Henry

Download or read book Nonlinear Dispersive Waves written by David Henry and published by Springer Nature. This book was released on with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multifaceted Uncertainty Quantification

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111354733
Total Pages : 532 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Multifaceted Uncertainty Quantification by : Isaac Elishakoff

Download or read book Multifaceted Uncertainty Quantification written by Isaac Elishakoff and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-09-23 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book exposes three alternative and competing approaches to uncertainty analysis in engineering. It is composed of some essays on various sub-topics like random vibrations, probabilistic reliability, fuzzy-sets-based analysis, unknown-but-bounded variables, stochastic linearization, possible difficulties with stochastic analysis of structures.

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.

Lecture Notes on the Mathematics of Acoustics

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Publisher : World Scientific
ISBN 13 : 1860944965
Total Pages : 308 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Lecture Notes on the Mathematics of Acoustics by : Matthew C. M. Wright

Download or read book Lecture Notes on the Mathematics of Acoustics written by Matthew C. M. Wright and published by World Scientific. This book was released on 2005 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures given at a one week summer school held at the University of Southampton, July 2003.

Dynamic Plasticity

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Publisher : Elsevier
ISBN 13 : 0323163297
Total Pages : 627 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Dynamic Plasticity by : N. Cristescu

Download or read book Dynamic Plasticity written by N. Cristescu and published by Elsevier. This book was released on 2012-12-02 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Plasticity discusses the problems encountered in the theory of dynamic deformation of plastic bodies. The book describes one-dimensional problems involving a single component of stress, particle velocity, and single spatial coordinate. The propagation of longitudinal elastic-plastic waves in thin rods or wires is a simple example of this problem of dynamic plasticity. Another one-dimensional problem, which has various possible transverse motions, is the dynamics of extensible strings. This problem is associated in calculations dealing with cables of suspension bridges, of elevator cables, of electric cables. The analogy with the mechanics of extensible strings can be extended to circular and rectangular membranes such as explained by Karunes and Onat. Karunes and Onat analyzed the propagation of transverse and longitudinal shock waves in such membranes using the Rakhmatulin theory for strings. The text also discusses axi-symmetrical problems and the problems of soil mechanics when applied to soft soils. The book can prove valuable to civil engineers, structural engineers, physicist, and students of mechanical engineering or industrial design.

Plastic Bending : Theory And Applications

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Publisher : World Scientific
ISBN 13 : 9814500402
Total Pages : 572 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Plastic Bending : Theory And Applications by : T X Yu

Download or read book Plastic Bending : Theory And Applications written by T X Yu and published by World Scientific. This book was released on 1996-03-20 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the point of view of mechanics, this monograph systematically demonstrates the theory of plastic bending and its engineering applications; most of the contents of the book are based on the authors' research in the past decade. The monograph not only expounds the contributions of the authors to the fundamental theory of plastic bending, but also presents various applications of the theory in sheet metal forming, particularly in the analysis and prediction of springback and wrinkling of strips and plates subjected to bending or stamping. In addition to theoretical modelling, attention has also been paid to the development of related numerical methods; comparisons with experimental results are also presented.

Spatial Control of Vibration

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Publisher : World Scientific
ISBN 13 : 9812383379
Total Pages : 237 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Spatial Control of Vibration by : S. O. Reza Moheimani

Download or read book Spatial Control of Vibration written by S. O. Reza Moheimani and published by World Scientific. This book was released on 2003 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibration is a natural phenomenon that occurs in a variety of engineering systems. In many circumstances, vibration greatly affects the nature of engineering design as it often dictates limiting factors in the performance of the system. The conventional treatment is to redesign the system or to use passive damping. The former could be a costly exercise, while the latter is only effective at higher frequencies. Active control techniques have emerged as viable technologies to fill this low-frequency gap. This book is concerned with the study of feedback controllers for vibration control of flexible structures, with a view to minimizing vibration over the entire body of the structure.The book introduces a variety of flexible structures such as beams, strings, and plates with specific boundary conditions, and explains in detail how a spatially distributed model of such systems can be obtained. It addresses the problems of model reduction and model correction for spatially distributed systems of high orders, and goes on to extend robust control techniques such as H-infinity and H2 control design methodologies to spatially distributed systems arising in active vibration control problems. It also addresses other important topics, such as actuator and sensor placement for flexible systems, and system identification for flexible structures with irregular boundary conditions. The text contains numerous examples, and experimental results obtained from laboratory-level apparatus, with details of how similar test beds may be built.