Beam Structures

Author : Erasmo Carrera,Gaetano Giunta,Marco Petrolo
Publisher : John Wiley & Sons
Page : 171 pages
File Size : 53,9 Mb
Release : 2011-07-28
Category : Science
ISBN : 9781119951049

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Beam Structures by Erasmo Carrera,Gaetano Giunta,Marco Petrolo Pdf

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.

Author : Robert R. McWithey
Publisher : Unknown
Page : 34 pages
File Size : 52,5 Mb
Release : 1959
Category : Electronic
ISBN : UIUC:30112106742023

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Minimum-weight Analysis of Symmetrical-multiweb-beam Structures Subjected to Thermal Stress by Robert R. McWithey Pdf

Author : Buntara S. Gan
Publisher : Springer
Page : 233 pages
File Size : 43,7 Mb
Release : 2017-06-01
Category : Technology & Engineering
ISBN : 9783319564937

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An Isogeometric Approach to Beam Structures by Buntara S. Gan Pdf

This book proposes a novel, original condensation method to beam formulation based on the isogeometric approach to reducing the degrees of freedom to conventional two-node beam elements. In this volume, the author defines the Buntara Condensation Formulation: a unique formulation in condensing the dynamic equilibrium equation for beam structures, suitable for reducing the number of unlimited dynamic equations necessary to yield a classic two-node beam element. Professor Buntara’s method overcomes the problem of the isogeometric approach where the number of degrees of freedom is increased along with the complexity of the geometrical beam element and facilitates implementation of the codes into the existing beam structures programs, and CAD geometrical data into the conventional FE beam element codes. The book proposes a new reduction method where the beam element can be treated as under the conventional beam element theory that has only two nodes at both ends.

Author : Albert Skudra,Mark Gurvich,Aivars Krouklinsh
Publisher : CRC Press
Page : 316 pages
File Size : 54,8 Mb
Release : 1991-01-01
Category : Technology & Engineering
ISBN : 0877628378

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Structural Analysis of Composite Beam Systems by Albert Skudra,Mark Gurvich,Aivars Krouklinsh Pdf

The use of RP/composite materials in load-bearing applications requires an in-depth understanding of their structural mechanics. This book provides a very detailed, quantified presentation of this important subject.

Author : Levi Schächter
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 55,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662033982

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Beam-Wave Interaction in Periodic and Quasi-Periodic Structures by Levi Schächter Pdf

During the past seven years I have been involved in the investigation of high power microwave sources for accelerator and radar applications. As for many others before me, the starting point of this book was a collection of notes on theoretical topics out of the material I had been working on. The notes were the core of a course for graduate students at Cornell University. When I started to prepare these notes it seemed a fairly straight-forward and not very time-consuming task since I had most of the material well organized. Today, three years after the preparation of the first notes, I can only wonder how naive this thought was. Most of my work was oriented towards analytic and quasi-analytic tech niques for the investigation of the interaction of an electron beam with elec tromagnetic waves. These topics are presented in Chaps. 4 and 6. However, for a systematic elaboration of these topics it was necessary to provide some general background, therefore parts of what are today Chaps. 2, 3, and 5 were prepared. Related topics of acceleration concepts were also prepared to some extent but I ran out of time and the material (Chap. 8) was not delivered. In the meantime, various sections of this book were taught at the Technion Israel Institute of Technology and Ben-Gurion University. In the last version I included a discussion on free electron lasers (Chap. 7).

Author : Shanky Saxena,Ritu Sharma,B. D. Pant
Publisher : Springer Nature
Page : 190 pages
File Size : 45,5 Mb
Release : 2021-04-06
Category : Technology & Engineering
ISBN : 9789811606069

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Design and Development of MEMS based Guided Beam Type Piezoelectric Energy Harvester by Shanky Saxena,Ritu Sharma,B. D. Pant Pdf

This book presents device design, layout design, FEM analysis, device fabrication, and packaging and testing of MEMS-based piezoelectric vibration energy harvesters. It serves as a complete guide from design, FEM, and fabrication to characterization. Each chapter of this volume illustrates key insight technologies through images. The book showcases different technologies for energy harvesting and the importance of energy harvesting in wireless sensor networks. The design, simulation, and comparison of three types of structures – single beam cantilever structure, cantilever array structure, and guided beam structure have also been reported in one of the chapters. In this volume, an elaborate characterization of two-beam and four-beam fabricated devices has been carried out. This characterization includes structural, material, morphological, topological, dynamic, and electrical characterization of the device. The volume is very concise, easy to understand, and contains colored images to understand the details of each process.

Author : William Jerome Haering
Publisher : Unknown
Page : 390 pages
File Size : 53,5 Mb
Release : 1992
Category : Electronic
ISBN : UOM:39015025176549

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A New Flexible Body Dynamic Formulation for Beam Structures Undergoing Large Overall Motion by William Jerome Haering Pdf

Author : Rüdiger G. Ballas
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 54,9 Mb
Release : 2007-03-06
Category : Technology & Engineering
ISBN : 9783540326427

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Piezoelectric Multilayer Beam Bending Actuators by Rüdiger G. Ballas Pdf

This book describes the application of piezoelectric materials, particularly piezoceramics, in the wide field of actuators and sensors. It gives a step-by-step introduction to the structure and mechanics of piezoelectric beam bending actuators in multilayer technology, which are of increasing importance for industrial applications. The book presents the suitability of the developed theoretical aspects in a memorable way.

Author : Isaac E Elishakoff
Publisher : World Scientific
Page : 798 pages
File Size : 51,7 Mb
Release : 2019-10-29
Category : Technology & Engineering
ISBN : 9789813236530

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Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories by Isaac E Elishakoff Pdf

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)

Author : Eduardo de Miranda Batista,Pedro Vellasco,Luciano Rodrigues Ornelas de Lima
Publisher : CRC Press
Page : 688 pages
File Size : 49,9 Mb
Release : 2015-04-23
Category : Technology & Engineering
ISBN : 9781315675497

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Tubular Structures XV by Eduardo de Miranda Batista,Pedro Vellasco,Luciano Rodrigues Ornelas de Lima Pdf

Tubular Structures XV contains the latest scientific and engineering developments in the field of tubular structures, as presented at the 15th International Symposium on Tubular Structures (ISTS15, Rio de Janeiro, Brazil, 27-29 May 2015). The International Symposium on Tubular Structures (ISTS) has a long-standing reputation for being the principal

Author : Alan Kin Tak Lau,J. Lu,Vijay K. Varadan,Fu-Kuo Chang,J.P. Tu,Pou Man Lam
Publisher : Trans Tech Publications Ltd
Page : 1612 pages
File Size : 53,8 Mb
Release : 2008-06-12
Category : Technology & Engineering
ISBN : 9783038132172

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Multi-functional Materials and Structures by Alan Kin Tak Lau,J. Lu,Vijay K. Varadan,Fu-Kuo Chang,J.P. Tu,Pou Man Lam Pdf

Volume is indexed by Thomson Reuters CPCI-S (WoS). Smart Materials are materials that can respond to environmental stimuli by exhibiting particular changes in some of their properties. Depending upon the change in some external condition, a smart materials can change its own characteristics (mechanical, electrical, appearance), structure, composition and/or response. These materials are usually embedded into systems whose inherent properties change favourably in order to meet performance needs.

Author : Matthias C. Schulz
Publisher : Springer Nature
Page : 150 pages
File Size : 44,6 Mb
Release : 2022-09-21
Category : Technology & Engineering
ISBN : 9783031063404

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A New Kirchhoff-Love Beam Element and its Application to Polymer Mechanics by Matthias C. Schulz Pdf

The novel finite element formulations fall into the category of geometrically exact Kirchhoff-Love beams. A prominent characteristic of this category is that the absence of shear deformation is strongly enforced by removing two degrees of freedom. Further, the corresponding beam theories exhibit not only translational but also rotational degrees of freedom and their configurations thus form a non-additive and non-commutative space. Sophisticated interpolation schemes are required that need to be tested not only for locking, spatial convergence behavior, and energy conservation, but also for observer invariance and path-independence. For the three novel beam element formulations all these properties are analytically and numerically studied and confirmed, if applicable. Two different rotation parameterization strategies are employed based on the well-known geodesic interpolation used in many Simo-Reissner beams and the lesser known split into the so-called \textit{smallest rotation} and a torsional part. Application of the former parameterization results in a mixed finite element formulation intrinsically free of locking phenomena. Additionally, the first geometrically exact Kirchhoff-Love beam element is presented, which strongly enforces inextensibility by removing another degree of freedom. Furthermore, the numerical efficiency of the new beam formulations is compared to other beam elements that allow for or suppress shear deformation. When modeling very slender beams, the new elements offer distinct numerical advantages. Standard molecular dynamics simulations, which are commonly used to study polymers, suffer from a lack of a careful mathematical basis and the use of an expensive explicit time integration scheme. To circumvent these shortcomings and to be able to simulate stretching experiments on relevant time scales, the problem is described by a stochastic partial differential equation, which can be solved using the finite element method with a backward Euler temporal discretization. In detail, the polymer is represented by a Kirchhoff-Love beam with a linear elastic constitutive model. Inertial and electrostatic forces are neglected. It is deformed by a distributed load mimicking collisions with molecules of the surrounding fluid. Naturally, this load heavily fluctuates over time and space and mean values need to be computed in a Monte Carlo manner. To vastly speed up the fitting process to experimental data in a Bayesian framework, a surrogate model based on a Gaussian process is set up, which directly computes the mean values for given material parameters. The uncertainties and correlations of the material parameters are studied and compared to the literature.

Author : Jacques Heyman
Publisher : Elsevier
Page : 145 pages
File Size : 52,5 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483160580

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Beams and Framed Structures by Jacques Heyman Pdf

Beams and Framed Structures, Second Edition deals with the material strength and stiffness of beams and plane frames. The theory of structures, as applied to frames, is examined, with emphasis on bending moments throughout the frame and the resulting deformations. Linear elastic structures and plastic collapse and elastic-plastic structures are considered. Comprised of three chapters, this book begins with an introduction to the basic equations on equilibrium, deformation, virtual work, and the relationship between bending moment and curvature. The next chapter is devoted to elastic beams and frames, with particular reference to the principle of superposition; energy methods for elastic frames; moment distribution; and thermal effects. The final chapter focuses on plastic beams and frames and covers topics such as theorems of plastic collapse; elastic-plastic analysis; deflexions at collapse; and interaction diagrams. Throughout the text, it is assumed that all members of a frame remain stable, so that instability phenomena do not occur. This monograph will be of interest to structural and mechanical engineers.

Author : H. G. Russell
Publisher : Transportation Research Board
Page : 86 pages
File Size : 47,6 Mb
Release : 2009
Category : Box beams
ISBN : 9780309098304

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Adjacent Precast Concrete Box Beam Bridges by H. G. Russell Pdf

At head of title: National Cooperative Highway Research Program.

Author : Wai-Fah Chen,Toshio Atsuta
Publisher : J. Ross Publishing
Page : 532 pages
File Size : 43,5 Mb
Release : 2007-12-15
Category : Technology & Engineering
ISBN : 1932159762

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Theory of Beam-Columns, Volume 1 by Wai-Fah Chen,Toshio Atsuta Pdf

This is the first volume of a two-volume work presenting the basic theoretical principles, methods of analysis in obtaining the solutions of beam-columns, and developments of theories of biaxially loaded beam-columns, and to show how these theories can be used in the solution of practical design problems. After presenting the basic theory the authors proceed to solutions of particular problems. Both refined and simplified design procedures, along with their limitations, are presented. It is left to the engineer to choose among them as he sees fit. An unabridged J. Ross Publishing republication of the edition published by McGraw-Hill, Inc., New York, 1976, 513pp.