Plate Structures
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 theo...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2011. |
| Edice: | Solid Mechanics and Its Applications
178 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Plate Structures, Texte imprimé, 9789400717145 • Plate Structures, Texte imprimé, 9789400737471 • Plate Structures, Texte imprimé, 9789400717145 • Plate Structures, Texte imprimé, 9789400717169 |
Obsah:
- Preface Chapter 1: Introduction and Basic Concepts 1.1. Theoretical foundations of theory of plates 1.2 Constitutive relations for composite, isotropic and piezoelectric materials 1.3. Strain-displacement relations for plates and relevant kinematic assumptions 1.4. Stress resultants and stress couples 1.5. Introduction to the Rayleigh-Ritz and Galerkin methods 1.6. Equations of motion and boundary conditions: derivation from the Hamilton principle for a geometrically nonlinear shear deformable plate 1.7. Equations of motion and boundary conditions: derivation from the analysis of an infinitesimal plate element 1.8. An alternative formulation of equations of equilibrium and boundary conditions of thin plates in terms of a stress function 1.9. Effect of temperature on constitutive relations and material constants 1.10. Strength theories 1.11. Outline of a comprehensive plate analysis References Chapter 2: Static Problems in Isotropic Rectangular Plates 2.1. Classical Navier s problem 2.2. Boundary conditions in realistic structures 2.3. Representative analytical solution: Levy s method 2.4. Plates on elastic foundation 2.5. Combined lateral and in-plane loading 2.6. Buckling of rectangular isotropic plates 2.7. Application of the Rayleigh-Ritz method and Galerkin procedure to bending and buckling problems 2.8. Effect of initial imperfections on bending and buckling of rectangular plates2 2.9. Effect of stringers on bending and buckling of plates 2.10. Postbuckling response of plates 2.11. Design philosophy and recommendations References Chapter 3: Static Problems in Isotropic Circular Plates and Plates of Other Shapes 3.1. Governing equations of circular plates 3.2. Axisymmetric bending problems 3.3. Geometrically nonlinear axisymmetric bending problem for a solid annular plate 3.4. Asymmetric problems for circular plates 3.5. In-plane loading and buckling of circular plates 3.6. Bending of plates of non-rectangular and non-circular shapes 3.7. Design philosophy and recommendations References Chapter 4: Dynamic Problems in Isotropic Plates 4.1. Typical problems 4.2. Free vibrations of rectangular isotropic plates 4.3. Forced harmonic vibrations of rectangular isotropic plates 4.4. Non-periodic response (representative example of blast loading) 4.5. Vibrations of reinforced plates 4.6. Large-amplitude vibrations 4.7. Dynamic instability of plates 4.8. Design philosophy and recommendations References Chapter 5: Mechanics of Composite plates 5.1. Basic concepts of thin laminated plates 5.2. Governing equations for thin composite plate 5.3. Strength criteria for laminated composites 5.4. Representative bending problems for a thin composite plate3