Elastic Plates
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Elastic Plates
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Author : Karl Marguerre
language : en
Publisher:
Release Date : 1969
Elastic Plates written by Karl Marguerre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Elastic plates and shells categories.
Theories Of Elastic Plates
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Author : V. Panc
language : en
Publisher: Springer Science & Business Media
Release Date : 1975-04-30
Theories Of Elastic Plates written by V. Panc 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 1975-04-30 with Science categories.
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.
Elastic Plates
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Author : Herbert Reismann
language : en
Publisher: Wiley-Interscience
Release Date : 1988-07-25
Elastic Plates written by Herbert Reismann and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-25 with Science categories.
Very Good,No Highlights or Markup,all pages are intact.
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.
Elastic Plates
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Author : Karl Marguerre
language : en
Publisher:
Release Date : 1969
Elastic Plates written by Karl Marguerre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
An Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates
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Author : Raymond David Mindlin
language : en
Publisher: World Scientific
Release Date : 2006
An Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates written by Raymond David Mindlin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Technology & Engineering categories.
This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.
Theory And Analysis Of Elastic Plates And Shells
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Author : J. N. Reddy
language : en
Publisher: CRC Press
Release Date : 2006-11-20
Theory And Analysis Of Elastic Plates And Shells written by J. N. Reddy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-20 with Science categories.
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
Anisotropic Elastic Plates
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Author : Chyanbin Hwu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-25
Anisotropic Elastic Plates written by Chyanbin Hwu 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 2010-05-25 with Technology & Engineering categories.
As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only inplane load but also transverse load. In other words, both plane and plate bending problems as well as the stretching-bending coupling problems are all explained in this book. In addition to the introduction of the theory of anisotropic elasticity, several important subjects have are discussed in this book such as interfaces, cracks, holes, inclusions, contact problems, piezoelectric materials, thermoelastic problems and boundary element analysis.
Theory And Analysis Of Elastic Plates And Shells Second Edition
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Author : J. N. Reddy
language : en
Publisher: CRC Press
Release Date : 1999-02-10
Theory And Analysis Of Elastic Plates And Shells Second Edition written by J. N. Reddy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-10 with Technology & Engineering categories.
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.
Nonlinear Theory Of Elastic Plates
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Author : Anh Le Van
language : en
Publisher: Elsevier
Release Date : 2017-05-31
Nonlinear Theory Of Elastic Plates written by Anh Le Van and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-31 with Mathematics categories.
Nonlinear Theory of Elastic Plates provides the theoretical materials necessary for the three plate models—Cosserat plates, Reissner-Mindlin plates and Kirchhoff-Love plates— in the context of finite elastic deformations. One separate chapter is devoted to the linearized theory of Kirchhoff-Love plates, which allows for the study of vibrations of a pre-stressed plate and the static buckling of a plate. All mathematical results in the tensor theory in curvilinear coordinates necessary to investigate the plate theory in finite deformations are provided, making this a self-contained resource. Presents the tricky process of linearization, which is rarely dealt with, but explained in detail in a separate chapter Organized in a mathematical style, with definitions, hypotheses, theorems and proofs clearly stated Presents every theorem with its accompanying hypotheses, enabling the reader to quickly recognize the conditions of validity in results