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Nonlinear analysis of thin-walled structures : statics, dynamics, and stability / James F. Doyle.

By: Material type: TextTextSeries: Mechanical engineering series (Berlin, Germany)Publisher: New York : Springer, 2001Description: xiv, 511 pages : illustrations ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0387952160
  • 9780387952161
Subject(s): DDC classification:
  • 624.17
LOC classification:
  • TA660.T5 D69 2001
Contents:
Series Preface -- Preface -- Notation -- Introduction -- 1. Mechanics of Solids -- 1.1. Cartesian Tensors -- 1.2. Deformation and Rotation -- 1.3. Strain -- 1.4. Cauchy Stress Principle -- 1.5. Governing Equations of Motion -- 1.6. Material Behavior -- 1.7. Elastic Constitutive Relations -- 1.8. Approximate Weak Form of Problems -- 2. Thin Plates and Shells -- 2.1. Flat Plate Theory -- 2.2. Membrane Problems -- 2.3. Flexural Problems -- 2.4. Curved Plates and Shells -- 2.5. Discretization Using Triangular Regions -- 2.6. Membrane Triangle Elements -- 2.7. Triangular Plate Bending Elements -- 2.8. Shell and Frame Structures -- 3. Nonlinear Static Analysis -- 3.1. Truss and Elastica Problems -- 3.2. Finite Rotations -- 3.3. Solving Nonlinear Equations -- 3.4. Total Lagrangian Incremental Formulation -- 3.5. The Corotational Scheme -- 3.6. Corotational Scheme for 3-D Structures -- 3.7. Deformation-Dependent Loads -- 4. Vibrations of Structures -- 4.1. Free and Forced Vibrations -- 4.2. Free Vibration of Plates and Beams -- 4.3. Matrix Representation of Inertia Forces -- 4.4. Modal Analysis -- 4.5. Relation of Wave Responses to Vibrations -- 4.6. Parametric Excitations -- 5. Nonlinear Dynamics -- 5.1. Free Vibration -- 5.2. Forced Response -- 5.3. Dynamic Equilibrium with Large Rotations -- 5.4. Nonlinear Dynamics and Chaotic Motions -- 5.5. Time Integration of Linear Systems -- 5.6. Explicit Nonlinear Scheme -- 5.7. Nonlinear Structural Dynamics -- 5.8. Dynamic Load Interactions -- 6. Stability of Structures -- 6.1. Concepts of Stability -- 6.2. Beams with Axial Forces -- 6.3. Buckling of Plates -- 6.4. Matrix Formulation for Buckling -- 6.5. Static View of Stability of Discrete Systems -- 6.6. Dynamic View of Static Instabilities -- 6.7. Mode Jumping -- 7. Dynamic Stability -- 7.1. Some Preliminary Ideas -- 7.2. Follower Forces and Dynamic Instability -- 7.3. Aeroelasticity and Flutter -- 7.4. Pulsating Compression of a Beam -- 7.5. Stability of Forced Vibration of Plates -- 7.6. Stability of Motion in the Large -- 7.7. Stability Under Transient Loading -- Afterword -- References -- Index.
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Includes bibliographical references and index.

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

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