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Author : Leslie G. Jaeger
Publisher : Pergamon
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.F/5 ( download)
Download or read book Elementary Theory of Elastic Plates written by Leslie G. Jaeger and published by Pergamon. This book was released on 1964 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Panc
Publisher : Springer Science & Business Media
ISBN 13 : 9789028601048
Total Pages : 750 pages
Book Rating : 4.6/5 (1 download)
Download or read book Theories of elastic plates written by V. Panc and published by Springer Science & Business Media. This book was released on 1975-04-30 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Raymond David Mindlin
Publisher : World Scientific
ISBN 13 : 9812703810
Total Pages : 211 pages
Book Rating : 4.8/5 (127 download)
Download or read book An Introduction to the Mathematical Theory of Vibrations of Elastic Plates written by Raymond David Mindlin and published by World Scientific. This book was released on 2006 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : L. G. Jaeger
Publisher : Elsevier
ISBN 13 : 1483147002
Total Pages : 118 pages
Book Rating : 4.4/5 (831 download)
Download or read book Elementary Theory of Elastic Plates written by L. G. Jaeger and published by Elsevier. This book was released on 2013-09-24 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : V. Panc
Publisher : Springer
ISBN 13 : 9789401019064
Total Pages : 0 pages
Book Rating : 4.0/5 (19 download)
Download or read book Theories of elastic plates written by V. Panc and published by Springer. This book was released on 2014-01-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Herbert Reismann
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.:/5 (318 download)
Download or read book Elastic Plates written by Herbert Reismann and published by Wiley-Interscience. This book was released on 1988-07-25 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.
Author : J. N. Reddy
Publisher : CRC Press
ISBN 13 : 9781560327059
Total Pages : 568 pages
Book Rating : 4.3/5 (27 download)
Download or read book Theory and Analysis of Elastic Plates and Shells, Second Edition written by J. N. Reddy and published by CRC Press. This book was released on 1999-02-10 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kaza Vijayakumar
Publisher : Springer
ISBN 13 : 9789813342095
Total Pages : 130 pages
Book Rating : 4.3/5 (42 download)
Download or read book Poisson Theory of Elastic Plates written by Kaza Vijayakumar and published by Springer. This book was released on 2021-02-21 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the introduction of auxiliary problem governing transverse stresses. The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics.
Author : Philippe G. Ciarlet
Publisher : SIAM
ISBN 13 : 1611976804
Total Pages : 575 pages
Book Rating : 4.6/5 (119 download)
Download or read book Mathematical Elasticity written by Philippe G. Ciarlet and published by SIAM. This book was released on 2022-01-22 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second book of a three-volume set, asymptotic methods provide a rigorous mathematical justification of the classical two-dimensional linear plate and shallow shell theories. Theory of Plates also illustrates how asymptotic methods allow for justification of the Kirchhoff–Love theory of nonlinear elastic plates and presents a detailed mathematical analysis of the von Kármán equations. An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.
Author : Rudolph Szilard
Publisher : John Wiley & Sons
ISBN 13 : 9780471429890
Total Pages : 1062 pages
Book Rating : 4.4/5 (298 download)
Download or read book Theories and Applications of Plate Analysis written by Rudolph Szilard and published by John Wiley & Sons. This book was released on 2004-01-02 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kaza Vijayakumar
Publisher :
ISBN 13 : 9789813342118
Total Pages : 0 pages
Book Rating : 4.3/5 (421 download)
Download or read book Poisson Theory of Elastic Plates written by Kaza Vijayakumar and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the introduction of auxiliary problem governing transverse stresses. The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics. .
Author : Gavin R. Thomson
Publisher : Springer Science & Business Media
ISBN 13 : 0817682414
Total Pages : 230 pages
Book Rating : 4.8/5 (176 download)
Download or read book Stationary Oscillations of Elastic Plates written by Gavin R. Thomson and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations. Stationary Oscillations of Elastic Plates studies the latter in the context of stationary vibrations of thin elastic plates. The techniques presented here reduce the complexity of classical elasticity to a system of two independent variables, modeling problems of flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equations. The book is intended for an audience with a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics, and for theoretical physicists and mechanical engineers whose work involves elastic plates. Graduate students in these fields can also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.
Author : Karl Marguerre
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)
Download or read book Elastic Plates written by Karl Marguerre and published by . This book was released on 1969 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anh Le Van
Publisher : Elsevier
ISBN 13 : 0081023596
Total Pages : 212 pages
Book Rating : 4.0/5 (81 download)
Download or read book Nonlinear Theory of Elastic Plates written by Anh Le Van and published by Elsevier. This book was released on 2017-05-31 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Cedric Edward Turner
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to Plate and Shell Theory written by Cedric Edward Turner and published by . This book was released on 1965 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. N. Reddy
Publisher : CRC Press
ISBN 13 : 9781560328537
Total Pages : 576 pages
Book Rating : 4.3/5 (285 download)
Download or read book Theory and Analysis of Elastic Plates written by J. N. Reddy and published by CRC Press. This book was released on 1999-02-01 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents classical as well as shear deformation beam and plate theories, and their solutions by analytical and numerical methods, for bending, buckling, and natural vibrations. Analytical solutions are based on the Navier and Levy solution methods, and numerical methods are based on the Rayleigh-Ritz method and the finite element method. Extensive illustrations and tables of numerical solutions are provided, as well as end of chapter exercises and references for additional reading.
Author : Jiashi Yang
Publisher : World Scientific
ISBN 13 : 9814476544
Total Pages : 211 pages
Book Rating : 4.8/5 (144 download)
Download or read book Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin written by Jiashi Yang and published by World Scientific. This book was released on 2006-12-29 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
