Plate Structures

• Κύριος συγγραφέας: Birman, Victor (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2011.
• Σειρά: Solid Mechanics and Its Applications, 178
• Θέματα: Engineering.; Mechanics.; Mechanics, Applied.; Continuum mechanics.; Structural mechanics.; Mechanical engineering.; Engineering design.; Theoretical and Applied Mechanics.; Continuum Mechanics and Mechanics of Materials.; Structural Mechanics.; Mechanical Engineering.; Engineering Design.

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...

Πίνακας περιεχομένων:

• 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
• 5.5. Buckling problems for thin composite plates
• 5.6. Statics and dynamics of stringer-reinforced composite plates
• 5.7. Shear-deformable composite plates
• 5.8. Sandwich plates
• 5.9. Design philosophy and recommendations
• References
• Chapter 6: Thermoelastic Problems in Isotropic and Composite Plates
• 6.1. Heat transfer problem
• 6.2. Representative problem: heat transfer in a functionally graded plate subject to a uniform over the surface thermal loading
• 6.3. Thermal bending and buckling of rectangular isotropic plates
• 6.4. Thermal bending and buckling problems for rectangular composite and sandwich plates
• 6.5. Example of thermal problem in applications: composite plates subject to fire
• 6.6. Design philosophy and recommendations
• References
• Chapter 7: Examples of Advanced Applications: Plates with Piezoelectric Sensors and Actuators and Functionally Graded Plates
• 7.1. Governing equations for shear deformable and thin plates with piezoelectric layers
• 7.2. Thin plates with piezoelectric sensors and actuators
• 7.3. Active control of composite plates using piezoelectric “stiffeners-actuators”
• 7. 4. Effect of temperature on measurements obtained from piezoelectric sensors
• 7.5. Concept of functionally graded material (FGM) plates
• 7.6. Thermal problems of FGM plates
• 7.7. Thermomechanical problems of FGM plates
• 7.8. Design philosophy and recommendations
• References
•  Subject index.