The Bending Theory Of Fully Nonlinear Beams

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The Bending Theory of Fully Nonlinear Beams

Author : Angelo Marcello Tarantino
Publisher : Springer
ISBN 13 : 3030146766
Total Pages : 95 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis The Bending Theory of Fully Nonlinear Beams by : Angelo Marcello Tarantino

Download or read book The Bending Theory of Fully Nonlinear Beams written by Angelo Marcello Tarantino and published by Springer. This book was released on 2019-03-13 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the bending theory of hyperelastic beams in the context of finite elasticity. The main difficulties in addressing this issue are due to its fully nonlinear framework, which makes no assumptions regarding the size of the deformation and displacement fields. Despite the complexity of its mathematical formulation, the inflexion problem of nonlinear beams is frequently used in practice, and has numerous applications in the industrial, mechanical and civil sectors. Adopting a semi-inverse approach, the book formulates a three-dimensional kinematic model in which the longitudinal bending is accompanied by the transversal deformation of cross-sections. The results provided by the theoretical model are subsequently compared with those of numerical and experimental analyses. The numerical analysis is based on the finite element method (FEM), whereas a test equipment prototype was designed and fabricated for the experimental analysis. The experimental data was acquired using digital image correlation (DIC) instrumentation. These two further analyses serve to confirm the hypotheses underlying the theoretical model. In the book’s closing section, the analysis is generalized to the case of variable bending moment. The governing equations then take the form of a coupled system of three equations in integral form, which can be applied to a very wide class of equilibrium problems for nonlinear beams.

Flexible Bars

Author : R. Frisch-Fay
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Flexible Bars by : R. Frisch-Fay

Download or read book Flexible Bars written by R. Frisch-Fay and published by . This book was released on 1962 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Beam Structures

Author : Erasmo Carrera
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.

Static and Dynamic Analysis of Engineering Structures

Author : Levon G. Petrosian
Publisher : John Wiley & Sons
ISBN 13 : 1119592836
Total Pages : 528 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Static and Dynamic Analysis of Engineering Structures by : Levon G. Petrosian

Download or read book Static and Dynamic Analysis of Engineering Structures written by Levon G. Petrosian and published by John Wiley & Sons. This book was released on 2020-05-11 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative guide to the theory and practice of static and dynamic structures analysis Static and Dynamic Analysis of Engineering Structures examines static and dynamic analysis of engineering structures for methodological and practical purposes. In one volume, the authors – noted engineering experts – provide an overview of the topic and review the applications of modern as well as classic methods of calculation of various structure mechanics problems. They clearly show the analytical and mechanical relationships between classical and modern methods of solving boundary value problems. The first chapter offers solutions to problems using traditional techniques followed by the introduction of the boundary element methods. The book discusses various discrete and continuous systems of analysis. In addition, it offers solutions for more complex systems, such as elastic waves in inhomogeneous media, frequency-dependent damping and membranes of arbitrary shape, among others. Static and Dynamic Analysis of Engineering Structures is filled with illustrative examples to aid in comprehension of the presented material. The book: Illustrates the modern methods of static and dynamic analysis of structures; Provides methods for solving boundary value problems of structural mechanics and soil mechanics; Offers a wide spectrum of applications of modern techniques and methods of calculation of static, dynamic and seismic problems of engineering design; Presents a new foundation model. Written for researchers, design engineers and specialists in the field of structural mechanics, Static and Dynamic Analysis of Engineering Structures provides a guide to analyzing static and dynamic structures, using traditional and advanced approaches with real-world, practical examples.

Nonlinear Composite Beam Theory

Author : Dewey H. Hodges
Publisher : Progress in Astronautics and A
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Nonlinear Composite Beam Theory by : Dewey H. Hodges

Download or read book Nonlinear Composite Beam Theory written by Dewey H. Hodges and published by Progress in Astronautics and A. This book was released on 2006 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: From an authoritative expert whose work on modern helicopter rotor blade analysis has spanned over three decades, comes the first consistent and rigorous presentation of beam theory. Beginning with an overview of the theory developed over the last 60 years, Dr. Hodges addresses the kinematics of beam deformation, provides a simple way to characterize strain in an initially curved and twisted beam, and offers cross-sectional analysis for beams with arbitrary cross sections and composed of arbitrary materials. He goes on to present a way to accurately recover all components of cross-sectional strain and stress before providing a natural one-dimensional (1-D) theory of beams. Sample results for both cross-sectional and 1-D analysis are presented as is a parallel treatment for thin-walled beams.

Linear and Nonlinear Structural Mechanics

Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
ISBN 13 : 3527617574
Total Pages : 763 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Linear and Nonlinear Structural Mechanics by : Ali H. Nayfeh

Download or read book Linear and Nonlinear Structural Mechanics written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 763 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Explains the physical meaning of linear and nonlinear structural mechanics. * Shows how to perform nonlinear structural analysis. * Points out important nonlinear structural dynamics behaviors. * Provides ready-to-use governing equations.

Manufacturing Engineering and Process II

Author : Bale V. Reddy
Publisher : Trans Tech Publications Ltd
ISBN 13 : 3038260886
Total Pages : 1841 pages
Book Rating : 4.0/5 (382 download)

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Book Synopsis Manufacturing Engineering and Process II by : Bale V. Reddy

Download or read book Manufacturing Engineering and Process II written by Bale V. Reddy and published by Trans Tech Publications Ltd. This book was released on 2013-06-13 with total page 1841 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected, peer reviewed papers from the ICMEP 2013 International Conference on Manufacturing Engineering and Process, April 13-14, 2013, Vancouver, Canada

Thin-Walled Composite Beams

Author : Liviu Librescu
Publisher : Springer Science & Business Media
ISBN 13 : 1402042035
Total Pages : 627 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Thin-Walled Composite Beams by : Liviu Librescu

Download or read book Thin-Walled Composite Beams written by Liviu Librescu and published by Springer Science & Business Media. This book was released on 2006-01-15 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This is the first monograph devoted to the foundation of the theory of composite anisotropic thin-walled beams and to its applications in various problems involving the aeronautical/aerospace, helicopter, naval and mechanical structures. Throughout the theoretical part, an effort was made to provide the treatment of the subject by using the equations of the 3-D elasticity theory. Non-classical effects such as transverse shear, warping constraint, anisotropy of constituent materials yielding the coupling of twist-bending (lateral), bending (transversal)-extension have been included and their implications have been thoroughly analyzed. Thermal effects have been included and in order to be able to circumvent their deleterious effects, functionally graded materials have been considered in their construction. Implications of the application of the tailoring technique and of the active feedback control on free vibration, dynamic response, instability and aeroelasticity of such structures have been amply investigated. Special care was exercised throughout this work to address and validate the adopted solution methodologies and the obtained results against those available in the literature and obtained via numerical or experimental means.

Generalized Models and Non-classical Approaches in Complex Materials 1

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319724401
Total Pages : 799 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Generalized Models and Non-classical Approaches in Complex Materials 1 by : Holm Altenbach

Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Proceedings of the Conference on Differential & Difference Equations and Applications

Author : Ravi P. Agarwal
Publisher : Hindawi Publishing Corporation
ISBN 13 : 9789775945389
Total Pages : 1266 pages
Book Rating : 4.9/5 (453 download)

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Book Synopsis Proceedings of the Conference on Differential & Difference Equations and Applications by : Ravi P. Agarwal

Download or read book Proceedings of the Conference on Differential & Difference Equations and Applications written by Ravi P. Agarwal and published by Hindawi Publishing Corporation. This book was released on 2006 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Principles and Variational Methods in Applied Mechanics

Author : J. N. Reddy
Publisher : John Wiley & Sons
ISBN 13 : 1119087392
Total Pages : 1069 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Energy Principles and Variational Methods in Applied Mechanics by : J. N. Reddy

Download or read book Energy Principles and Variational Methods in Applied Mechanics written by J. N. Reddy and published by John Wiley & Sons. This book was released on 2017-07-21 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.

Mechanics: From Theory to Computation

Author : Journal of Nonlinear Science
Publisher : Springer Science & Business Media
ISBN 13 : 1461212464
Total Pages : 533 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mechanics: From Theory to Computation by : Journal of Nonlinear Science

Download or read book Mechanics: From Theory to Computation written by Journal of Nonlinear Science and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting in 1996, a sequence of articles appeared in the Journal of Nonlinear Science dedicated to the memory of one of its original editors, Juan-Carlos Simo, Applied Me chanics, Stanford University. Sadly, Juan-Carlos passed away at an early age in 1994. We lost a brilliant colleague and a wonderful person. These articles are collected in the present volume. Many of them are updated and corrected especially for this occasion. These essays are in areas of scientific interest of Juan-Carlos, including mechanics (particles, rigid bodies, fluids, elasticity, plastic ity, etc.), geometry, applied dynamics, and, of course, computation. His interests were extremely broad-he did not see boundaries between computation, mathematics, me chanics, and dynamics, and, in that sense, he ideally reflected the spirit of the journal and many of the most exciting areas of current scientific interest. Juan-Carlos was one of those select and gifted people who could cross interdisci plinary boundaries with extremely high quality and productive interactions of lasting value. His contributions, ranging from concrete engineering problems to fundamental mathematical theorems in geometric mechanics, are remarkable. In current conferences as well as in scientific books and articles, and over a wide range of subjects, one frequently hears how his ideas as well as specific results are often used and quoted-this is one indication of just how profound and fundamental his work has impacted the community.

Solid Mechanics

Author : Clive L. Dym
Publisher : Springer Science & Business Media
ISBN 13 : 1461460344
Total Pages : 698 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Solid Mechanics by : Clive L. Dym

Download or read book Solid Mechanics written by Clive L. Dym and published by Springer Science & Business Media. This book was released on 2013-04-05 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the study of elastic structures not seen in other texts currently on the market. This work offers a clear and carefully prepared exposition of variational techniques as they are applied to solid mechanics. Unlike other books in this field, Dym and Shames treat all the necessary theory needed for the study of solid mechanics and include extensive applications. Of particular note is the variational approach used in developing consistent structural theories and in obtaining exact and approximate solutions for many problems. Based on both semester and year-long courses taught to undergraduate seniors and graduate students, this text is geared for programs in aeronautical, civil, and mechanical engineering, and in engineering science. The authors’ objective is two-fold: first, to introduce the student to the theory of structures (one- and two-dimensional) as developed from the three-dimensional theory of elasticity; and second, to introduce the student to the strength and utility of variational principles and methods, including briefly making the connection to finite element methods. A complete set of homework problems is included.

Plastic Bending : Theory And Applications

Author : T X Yu
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.

Mechanics: From Theory to Computation

Author : Juan Carlos Simo
Publisher : Springer Science & Business Media
ISBN 13 : 9780387986630
Total Pages : 546 pages
Book Rating : 4.9/5 (866 download)

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Book Synopsis Mechanics: From Theory to Computation by : Juan Carlos Simo

Download or read book Mechanics: From Theory to Computation written by Juan Carlos Simo and published by Springer Science & Business Media. This book was released on 2000 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers in honour of Juan-Carlos Simo cover subjects including: dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods; gravity waves on the surface of the sphere; and problems and progress in microswimming.

Elementary Continuum Mechanics for Everyone

Author : Esben Byskov
Publisher : Springer Science & Business Media
ISBN 13 : 9400757662
Total Pages : 601 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Elementary Continuum Mechanics for Everyone by : Esben Byskov

Download or read book Elementary Continuum Mechanics for Everyone written by Esben Byskov and published by Springer Science & Business Media. This book was released on 2013-02-03 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.

Mechanics and Model-Based Control of Smart Materials and Structures

Author : Hans Irschik
Publisher : Springer Science & Business Media
ISBN 13 : 321199484X
Total Pages : 222 pages
Book Rating : 4.2/5 (119 download)

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Book Synopsis Mechanics and Model-Based Control of Smart Materials and Structures by : Hans Irschik

Download or read book Mechanics and Model-Based Control of Smart Materials and Structures written by Hans Irschik and published by Springer Science & Business Media. This book was released on 2009-09-30 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics and model-based control are both rapidly expanding scientific fields and fundamental disciplines of mechatronics, sharing demanding mathematical and system-theoretic formulations and methods. The papers in this volume deal with smart materials, which allow the design and implementation of new types of actuator/sensor fields and networks. Main topics treated are fundamental studies on laminated, composite and functionally graded materials, thermal and piezoelectric actuation, active and passive damping, as well as vibrations and waves in smart structures. The book is based on the 1st Japanese-Austrian Workshop which took place in Linz in Fall 2008.