Theory Of Plates
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Theory Of Plates
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Author : K. Chandrashekhara
language : en
Publisher: Universities Press
Release Date : 2001
Theory Of Plates written by K. Chandrashekhara and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Plates (Engineering) categories.
Theory Of Plates And Shells
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Author : Stephen Timoshenko
language : en
Publisher: McGraw-Hill Publishing Company
Release Date : 1959
Theory Of Plates And Shells written by Stephen Timoshenko and has been published by McGraw-Hill Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Mathematics categories.
Theory Of Plates And Shells
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Author : Christian Mittelstedt
language : en
Publisher: Springer Nature
Release Date : 2023-06-18
Theory Of Plates And Shells written by Christian Mittelstedt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-18 with Science categories.
This book deals with the analysis of plates and shells and is divided into four sections. After briefly introducing the basics of elasticity theory and the energy methods of elastostatics in the first section, the second section is devoted to the statics of disk structures. In addition to isotropic disks in Cartesian and polar coordinates, approximation methods and anisotropic disks are also discussed. The following third section deals with plate structures, covering plates in Cartesian and polar coordinates, and also discussing approximation methods and higher-order plate theories. Other chapters in this section discuss plate buckling as well as geometric nonlinear analysis and laminated plates. The fourth and final section of this book is devoted to shells, i.e., curved thin structures, following the common division into membrane theory on the one hand and bending theory on the other hand. This book is intended for students at universities, but also for engineers in practice and researchers in engineering science.
Thin Plates And Shells
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Author : Eduard Ventsel
language : en
Publisher: CRC Press
Release Date : 2001-08-24
Thin Plates And Shells written by Eduard Ventsel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-24 with Mathematics categories.
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.
Theories Of Plates And Shells
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Author : Reinhold Kienzler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-01
Theories Of Plates And Shells written by Reinhold Kienzler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-01 with Science categories.
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.
Mathematical Elasticity
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Author :
language : en
Publisher: Elsevier
Release Date : 1997-07-22
Mathematical Elasticity written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-22 with Mathematics categories.
The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established. In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Kármán equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.
Recent Approaches In The Theory Of Plates And Plate Like Structures
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2022-01-01
Recent Approaches In The Theory Of Plates And Plate Like Structures written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Technology & Engineering categories.
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.
Analysis Of Plates
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Author : T.K Varadan
language : en
Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED
Release Date : 1999-01-01
Analysis Of Plates written by T.K Varadan and has been published by ALPHA SCIENCE INTERNATIONAL LIMITED this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
This book deals with the classical plate theory most commonly used for the analysis of thin metallic plate structures. The basic assumptions of the plate theory are not straightaway taken for granted, but are deduced as logical inferences from a three-dimensional elasticity solution for a thin rectangular slab. In addition, the elasticity results are used to verify the accuracy of the plate theory. Statics, dynamics as well as stability of plates are dealt with. Besides a lucid explanation of the theory, exact and approximate solution methodologies are discussed. The approach adopted throughout--with emphasis on close correspondence with the three-dimensional theory of elasticity, and on the implications of each assumption of the plate theory--enables the reader to easily progress on to the study of state-of-the-art topics such as geometric and material nonlinearities, refined plate theories accounting for warping and stretching of the normal and laminated construction and material orthotropy typical of fibre-reinforced composites.
Elementary Theory Of Elastic Plates
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Author : L. G. Jaeger
language : en
Publisher: Elsevier
Release Date : 2013-09-24
Elementary Theory Of Elastic Plates written by L. G. Jaeger and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-24 with Technology & Engineering categories.
Elementary Theory of Elastic Plates deals with plate theory, particularly on the elastic behavior of initially flat thin plates subjected to loads, producing deflexions. This book discusses rectangular plates and circular plates subjected to different types of load conditions. This text describes the bending moment and curvature of beams, and gives the formula of principal axes, where the location of a neutral axis that experiences zero stress and strain, can be found. This book also notes how calculations can show small or negligible deflexions. The text discusses Possion's ratio effect and the Mohr's circle relationship. This text analyzes the various loads acting on different parts of the rectangular plate using the Navier method; the Levy's method is taken up when considerations are on other forms of boundary support on the rectangular plate. This book then addresses the circular plate that experiences bending moments and curvatures when it is placed under radially symmetric loads. This text explains the equation that is applicable in a radially symmetric case. This book also addresses understanding approximations of energy in stability problems when there is bending and twisting as shown in a strut with a certain thickness, radial length of the arms, and length of the strut. Engineers, physicists, architects, and designers of industrial equipment subject to heavy loads will appreciate the information found in this book.
Plates
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Author : K. Bhaskar
language : en
Publisher: Springer Nature
Release Date : 2021-05-07
Plates written by K. Bhaskar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-07 with Science categories.
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.