Doyle, James F., 1951-

Nonlinear analysis of thin-walled structures : statics, dynamics, and stability / James F. Doyle. - xiv, 511 pages : illustrations ; 24 cm. - Mechanical engineering series. . - Mechanical engineering series (Berlin, Germany). .

Includes bibliographical references and index.

Series Preface -- Preface -- Notation -- Introduction -- Mechanics of Solids -- Cartesian Tensors -- Deformation and Rotation -- Strain -- Cauchy Stress Principle -- Governing Equations of Motion -- Material Behavior -- Elastic Constitutive Relations -- Approximate Weak Form of Problems -- Thin Plates and Shells -- Flat Plate Theory -- Membrane Problems -- Flexural Problems -- Curved Plates and Shells -- Discretization Using Triangular Regions -- Membrane Triangle Elements -- Triangular Plate Bending Elements -- Shell and Frame Structures -- Nonlinear Static Analysis -- Truss and Elastica Problems -- Finite Rotations -- Solving Nonlinear Equations -- Total Lagrangian Incremental Formulation -- The Corotational Scheme -- Corotational Scheme for 3-D Structures -- Deformation-Dependent Loads -- Vibrations of Structures -- Free and Forced Vibrations -- Free Vibration of Plates and Beams -- Matrix Representation of Inertia Forces -- Modal Analysis -- Relation of Wave Responses to Vibrations -- Parametric Excitations -- Nonlinear Dynamics -- Free Vibration -- Forced Response -- Dynamic Equilibrium with Large Rotations -- Nonlinear Dynamics and Chaotic Motions -- Time Integration of Linear Systems -- Explicit Nonlinear Scheme -- Nonlinear Structural Dynamics -- Dynamic Load Interactions -- Stability of Structures -- Concepts of Stability -- Beams with Axial Forces -- Buckling of Plates -- Matrix Formulation for Buckling -- Static View of Stability of Discrete Systems -- Dynamic View of Static Instabilities -- Mode Jumping -- Dynamic Stability -- Some Preliminary Ideas -- Follower Forces and Dynamic Instability -- Aeroelasticity and Flutter -- Pulsating Compression of a Beam -- Stability of Forced Vibration of Plates -- Stability of Motion in the Large -- Stability Under Transient Loading -- Afterword -- References -- Index. 1. 1.1. 1.2. 1.3. 1.4. 1.5. 1.6. 1.7. 1.8. 2. 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. 2.8. 3. 3.1. 3.2. 3.3. 3.4. 3.5. 3.6. 3.7. 4. 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 5. 5.1. 5.2. 5.3. 5.4. 5.5. 5.6. 5.7. 5.8. 6. 6.1. 6.2. 6.3. 6.4. 6.5. 6.6. 6.7. 7. 7.1. 7.2. 7.3. 7.4. 7.5. 7.6. 7.7.

0387952160 9780387952161

00053774


Thin-walled structures
Structural analysis (Engineering)
Nonlinear theories

TA660.T5 / D69 2001

624.17