Theory and Analysis of Elastic Plates and Shells

ISBN-13: 9780849384158 / Angielski / Twarda / 2006 / 568 str.

J. N. Reddy

Opis

< P> 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, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics. Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists.< /P>

Recenzje

Praise for the previous edition
"This new book by J.N. Reddy digests more than two decades of research by him in plate theories (specially for thick plates and laminated composites), variational methods, and finite elements into an excellent textbook, which can be used very well by beginning or advanced graduate students, or by many engineers who deal with aerospace, automotive, and civil engineering structures. That is, the material is presented carefully and reasonably thoroughly in language that is easy to follow. This is the best textbook that this reviewer has seen for understanding the most important aspects of plate theory, and containing modern, important aspects of plate theory, which Timoshenko hardly could touch upon at all (in some cases they were not yet recognized topics), especially thick plates, laminated composites, and finite elements. And yet Reddy's book accomplishes good, useful introductions to all these topics in a mere 540 pages. Theory and Analysis of Elastic Plates is a textbook that clarifies the important aspects of plate theory, emphasizing its most important modern ones. For this purpose it is the best book available, in this reviewer's experience. As such it belongs on the bookshelves of every technical library, and every graduate student or engineer seriously interested in plates, and should become a widely used textbook in graduate-level courses."
—Arthur W. Leissa, Ohio State University, Applied Mechanics Reviews

Spis treści

PREFACE TO THE SECOND EDITION PREFACE ABOUT THE AUTHORVECTORS, TENSORS, AND EQUATIONS OF ELASTICITY IntroductionVectors, Tensors, and MatricesEquations of ElasticityTransformation of Stresses, Strains, and Stiffnesses ENERGY PRINCIPLES AND VARIATIONAL METHODS Virtual WorkEnergy PrinciplesCastigliano's Theorems Variational Methods CLASSICAL THEORY OF PLATESIntroduction Assumptions of the TheoryDisplacement Field and StrainsEquations of MotionBoundary and Initial ConditionsPlate Stiffness CoefficientsStiffness Coefficients of Orthotropic PlatesEquations of Motion in Terms of Displacements ANALYSIS OF PLATE STRIPSIntroductionGoverning EquationsBending AnalysisBuckling under Inplane Compressive LoadFree VibrationTransient Analysis ANALYSIS OF CIRCULAR PLATESIntroduction Governing EquationsAxisymmetric BendingAsymmetrical BendingFree VibrationAxisymmetric BucklingBENDING OF SIMPLY SUPPORTED RECTANGULAR PLATESIntroductionNavier SolutionsLévy's Solutions BENDING OF RECTANGULAR PLATES WITH VARIOUS BOUNDARY CONDITIONS Introduction Lévy SolutionsApproximate Solutions by the Ritz MethodGENERAL BUCKLING OF RECTANGULAR PLATES Buckling of Simply Supported Plates under Compressive LoadsBuckling of Plates Simply Supported along Two Opposite Sides and Compressed in the Direction Perpendicular to Those SidesBuckling of Rectangular Plates Using the Ritz MethodDYNAMIC ANALYSIS OF RECTANGULAR PLATESIntroductionNatural Vibration of Simply Supported Plates Natural Vibration of Plates with Two Parallel Sides Simply SupportedNatural Vibration of Plates with General Boundary ConditionsTransient AnalysisSHEAR DEFORMATION PLATE THEORIESFirst-Order Shear Deformation Plate TheoryThe Navier Solutions of FSDTThe Third-Order Plate TheoryThe Navier Solutions of TSDTRelationships between Solutions of Classical and Shear Deformation TheoriesTHEORY AND ANALYSIS OF SHELLSIntroductionGoverning EquationsAnalytical Solutions of Thin Cylindrical Shells Analytical Solutions of Shells with Double Curvature Vibration and Buckling of Circular Cylinders FINITE ELEMENT ANALYSIS OF PLATESIntroductionFinite Element Models of CPTFinite Element Models of FSDTNonlinear Finite Element ModelsREFERENCESSUBJECT INDEXSummaries and Problems appear in every chapter.

O autorze

J. N. Reddy