Research Catalog

Title

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

Author

Doyle, James F., 1951-

Publication

New York : Springer, 2001.

Items in the Library & Off-site

Holdings

Details

Description

xiv, 511 pages : illustrations; 24 cm.

Series Statement

Mechanical engineering series

Uniform Title

Mechanical engineering series (Berlin, Germany)

Subject

• Thin-walled structures
• Structural analysis (Engineering)
• Nonlinear theories

Bibliography (note)

• Includes bibliographical references and index.

Contents

• 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.

ISBN

0387952160 (alk. paper)

LCCN

00053774

OCLC

• ocm45315470
• SCSB-4147570

Owning Institutions

Columbia University Libraries