Theories And Applications Of Plate Analysis

Author : Rudolph Szilard
Publisher : John Wiley & Sons
Page : 1062 pages
File Size : 48,5 Mb
Release : 2004-01-02
Category : Technology & Engineering
ISBN : 0471429899

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Theories and Applications of Plate Analysis by Rudolph Szilard Pdf

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.

Author : K. Bhaskar,T. K. Varadan
Publisher : Springer Nature
Page : 282 pages
File Size : 42,5 Mb
Release : 2021-05-07
Category : Science
ISBN : 9783030694241

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Plates by K. Bhaskar,T. K. Varadan Pdf

This book covers the essentials of developments in the area of plate structures and presents them so that the readers can obtain a quick understanding and overview of the subject. Several theoretical models are employed for their analysis and design starting from the classical thin plate theory to alternatives obtained by incorporation of appropriate complicating effects or by using fundamentally different assumptions. The book includes pedagogical features like end-of-chapter exercises and worked examples to help students in self-learning. The book is extremely useful for the senior undergraduate and postgraduate students of aerospace engineering and mechanical engineering.

Author : Eduard Ventsel,Theodor Krauthammer
Publisher : CRC Press
Page : 688 pages
File Size : 50,8 Mb
Release : 2001-08-24
Category : Mathematics
ISBN : 0203908724

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Thin Plates and Shells by Eduard Ventsel,Theodor Krauthammer Pdf

Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering appli

Author : Eduard Ventsel,Theodor Krauthammer
Publisher : CRC Press
Page : 683 pages
File Size : 49,5 Mb
Release : 2001-08-24
Category : Mathematics
ISBN : 9780203908723

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Thin Plates and Shells by Eduard Ventsel,Theodor Krauthammer Pdf

Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering applications. It includes computer processes for finite difference, finite element, boundary element, and boundary collocation methods as well as other variational and numerical methods. It also contains end-of-chapter examples and problem/solution sets, a catalog of solutions for cylindrical and spherical shells, and tables of the most commonly used plates and shells.

Author : Reinhold Kienzler,Holm Altenbach,Ingrid Ott
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 54,7 Mb
Release : 2013-06-01
Category : Science
ISBN : 9783540399056

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Theories of Plates and Shells by Reinhold Kienzler,Holm Altenbach,Ingrid Ott Pdf

Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.

Author : Rudolph Szilard
Publisher : Prentice Hall
Page : 746 pages
File Size : 50,9 Mb
Release : 1973
Category : Plates (Engineering).
ISBN : UCSC:32106002700935

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Theory and Analysis of Plates: Classical and Numerical Methods by Rudolph Szilard Pdf

Author : J. N. Reddy
Publisher : CRC Press
Page : 568 pages
File Size : 50,9 Mb
Release : 1999-02-10
Category : Technology & Engineering
ISBN : 1560327057

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Theory and Analysis of Elastic Plates and Shells, Second Edition by J. N. Reddy Pdf

This text presents a complete treatment of the theory and analysis of elastic plates. It provides detailed coverage of classic and shear deformation plate theories and their solutions by analytical as well as numerical methods for bending, buckling and natural vibrations. Analytical solutions are based on the Navier and Levy solution method, and numerical solutions are based on the Rayleigh-Ritz methods and finite element method. The author address a range of topics, including basic equations of elasticity, virtual work and energy principles, cylindrical bending of plates, rectangular plates and an introduction to the finite element method with applications to plates.

Author : Holm Altenbach,Victor Eremeyev
Publisher : Springer
Page : 288 pages
File Size : 44,6 Mb
Release : 2016-08-09
Category : Science
ISBN : 9783319422770

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Shell-like Structures by Holm Altenbach,Victor Eremeyev Pdf

The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.

Author : Victor Birman
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 46,5 Mb
Release : 2011-07-20
Category : Technology & Engineering
ISBN : 9789400717152

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Plate Structures by Victor Birman Pdf

Plate structures are used in almost every area of engineering, including aerospace and naval architecture, civil engineering, and electronics. These structures have diverse geometries and have to withstand a wide range of loading conditions. This book provides the theoretical foundations of the theories of plates manufactured from various materials, outlines and illustrates the methods used for the analysis of these structures, and emphasizes designs and solution techniques available to an engineer. The book is written for engineers working in industry, graduate students at aerospace, mechanical, civil engineering and naval architecture departments, and investigators interested in the development of the theory of plates and related subjects. While the mathematical modeling employed in the book is understandable to both engineers and graduate students, the book also provides insight into relevant phenomena and theories underlying plate structures. Thus, the reader is equipped with a thorough understanding of the problems and appropriate assumptions, even if the analysis is conducted using commercially available software codes. In addition, the book includes numerous analytical solutions that can confidently be used in the design of plate structures. The combination of theoretical insight and references to practical problems makes the book equally attractive to academia and industry.

Author : Phillip L. Gould
Publisher : Springer Science & Business Media
Page : 502 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461237648

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Analysis of Shells and Plates by Phillip L. Gould Pdf

The study ofthree-dimensional continua has been a traditional part of graduate education in solid mechanics for some time. With rational simplifications to the three-dimensional theory of elasticity, the engineering theories of medium-thin plates and of thin shells may be derived and applied to a large class of engi neering structures distinguished by a characteristically small dimension in one direction. Often, these theories are developed somewhat independently due to their distinctive geometrical and load-resistance characteristics. On the other hand, the two systems share a common basis and might be unified under the classification of Surface Structures after the German term Fliichentragwerke. This common basis is fully exploited in this book. A substantial portion of many traditional approaches to this subject has been devoted to constructing classical and approximate solutions to the governing equations of the system in order to proceed with applications. Within the context of analytical, as opposed to numerical, approaches, the limited general ity of many such solutions has been a formidable obstacle to applications involving complex geometry, material properties, and/or loading. It is now relatively routine to obtain computer-based solutions to quite complicated situations. However, the choice of the proper problem to solve through the selection of the mathematical model remains a human rather than a machine task and requires a basis in the theory of the subject.

Author : V. Panc
Publisher : Springer Science & Business Media
Page : 750 pages
File Size : 52,8 Mb
Release : 1975-04-30
Category : Science
ISBN : 902860104X

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Theories of elastic plates by V. Panc Pdf

The present monograph deals with refined theories of elastic plates in which both bending and transverse shear effects are taken into account and with some of their applications. Generally these more exact theories result in inte gration problems of the sixth order; consequently, three mutually independent boundary conditions at each edge of the plate are required. This is in perfect agreement with the conclusions of the theory of elasticity. The expressions for shearing forces following from refined theories are then valid for the whole investigated region including its boundary where the corresponding boundary conditions for these shearing forces can be prescribed. Quite different seems to be the situation in the classical Kirchhoff-Love's theory in which the influence of transverse shearing strains is neglected. Owing to this simplification the governing differential equation developed by the classical theory is of the fourth order only; consequently, the number of boundary conditions appurtenant to the applied mode of support appears now to be in disagreement with the order of the valid governing equation. Then, limiting the validity of the expressions for shearing forces to the open region of the middle plane and introducing the notion of the so called fictitious Kirchhoff's shearing forces for the boundary of the plate, three actual boundary conditions at each edge of the plate have to be replaced by two approximate conditions transformed in the Kirchhoff's sense.

Author : J. N. Reddy
Publisher : CRC Press
Page : 561 pages
File Size : 47,9 Mb
Release : 2006-11-20
Category : Science
ISBN : 9780849384165

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Theory and Analysis of Elastic Plates and Shells by J. N. Reddy Pdf

Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete

Author : Noel Challamel,Julius Kaplunov,Izuru Takewaki
Publisher : John Wiley & Sons
Page : 306 pages
File Size : 53,9 Mb
Release : 2021-06-08
Category : Science
ISBN : 9781119831846

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Modern Trends in Structural and Solid Mechanics 2 by Noel Challamel,Julius Kaplunov,Izuru Takewaki Pdf

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.

Author : Maan Jawad
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461526568

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Theory and Design of Plate and Shell Structures by Maan Jawad Pdf

The design of many structures such as pressure vessels, aircrafts, bridge decks, dome roofs, and missiles is based on the theories of plates and shells. The degree of simplification needed to adopt the theories to the design of various structures depends on the type of structure and the re quired accuracy of the results. Hence, a water storage tank can be satis factorily designed using the membrane shell theory, which disregards all bending moments, whereas the design of a missile casing requires a more precise analysis in order to minimize weight and materials. Similarly, the design of a nozzle-to-cylinder junction in a nuclear reactor may require a sophisticated finite element analysis to prevent fatigue failure while the same junction in an air accumulator in a gas station is designed by simple equations that satisfy equilibrium conditions. Accordingly, this book is written for engineers interested in the theories of plates and shells and their proper application to various structures. The examples given throughout the book subsequent to derivation of various theories are intended to show the engineer the level of analysis required to achieve a safe design with a given degree of accuracy. The book covers three general areas. These are: bending of plates; membrane and bending theories of shells; and buckling of plates and shells. Bending of plates is discussed in five chapters. Chapters 1 and 2 cover rectangular plates with various boundary and loading conditions.

Author : John T. Katsikadelis
Publisher : Elsevier
Page : 345 pages
File Size : 52,6 Mb
Release : 2014-07-16
Category : Mathematics
ISBN : 9780124167445

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The Boundary Element Method for Plate Analysis by John T. Katsikadelis Pdf

Boundary Element Method for Plate Analysis offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design. Aiming to fill in the knowledge gaps left by contributed volumes on the topic and increase the accessibility of the extensive journal literature covering BEM applied to plates, author John T. Katsikadelis draws heavily on his pioneering work in the field to provide a complete introduction to theory and application. Beginning with a chapter of preliminary mathematical background to make the book a self-contained resource, Katsikadelis moves on to cover the application of BEM to basic thin plate problems and more advanced problems. Each chapter contains several examples described in detail and closes with problems to solve. Presenting the BEM as an efficient computational method for practical plate analysis and design, Boundary Element Method for Plate Analysis is a valuable reference for researchers, students and engineers working with BEM and plate challenges within mechanical, civil, aerospace and marine engineering. One of the first resources dedicated to boundary element analysis of plates, offering a systematic and accessible introductory to theory and application Authored by a leading figure in the field whose pioneering work has led to the development of BEM as an efficient computational method for practical plate analysis and design Includes mathematical background, examples and problems in one self-contained resource