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Nonlinear structural dynamics using FE methods

Author: James F Doyle
Publisher: New York : Cambridge University Press, 2015.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Nonlinear Structural Dynamics Using FE Methods emphasises fundamental mechanics principles and outlines a modern approach to understanding structural dynamics.

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Details

Document Type: Book
All Authors / Contributors: James F Doyle
ISBN: 9781107045705 1107045703 1139990543 9781139990547
OCLC Number: 866252009
Description: xiv, 622 pages : illustrations ; 26 cm
Contents: Machine-generated contents note: pt. I MECHANICS AND MODELS --
1. Dynamics of Simple Elastic Systems --
1.1. Motion of Simple Systems --
1.2. Transient Excitations and Responses --
1.3. Forced Vibrations through Periodic Loadings --
1.4. Spectral Analysis of Periodic Loadings --
Problem Set --
2. Dynamics of Discretized Systems --
2.1. Principle of Virtual Work --
2.2. Lagrangian Dynamics --
2.3. System Non-linearities --
Problem Set --
3. Modelling Elastic Structures --
3.1. Review of the Mechanics of 3D Solids --
3.2. Ritz Method for Dynamic Problems --
3.3. Finite-Element Formulation for Frames --
3.4. Finite-Element Formulation for Solids --
3.5. Modelling Large Deformations of Solids --
Problem Set --
4. Modelling Applied Loads --
4.1. Some Interaction Loadings --
4.2. Long-Term Periodic Loadings --
4.3. Conservative Loads and Systems --
4.4. Classification of Problems Based on Load Types --
Problem Set --
5. Computational Methods --
5.1. Solving Large Systems of Equations --
5.2. Direct Time Integration of Linear Systems --
5.3. Time Integration of Non-linear Systems --
5.4. Solving Large Eigensystems --
Problem Set --
pt. II DYNAMIC ANALYSES --
6. Modal Analysis of Large Systems --
6.1. Modal Matrix --
6.2. Modal Superposition Method --
6.3. Damped Motions --
6.4. Advanced Modal Analyses --
Problem Set --
7. Vibration of Rods and Beams --
7.1. Strong Formulation of Problems --
7.2. Spectral Analysis of Continuous Members --
7.3. Distributed Elastic Constraints --
Problem Set --
8. Vibration of Plates and Shells --
8.1. Flexural Behaviour of Flat Plates --
8.2. Membrane Behaviour of Thin Flat Plates --
8.3. Deep Beams with Shear Deformations --
8.4. Thin-Walled Shells --
8.5. Non-linear Vibrations of Panels --
Problem Set --
9. Wave Propagation --
9.1. Introduction to Wave Propagation --
9.2. Spectral Analysis of Wave Motions --
9.3. Waves in Extended Solids --
9.4. Relation of Wave Responses to Vibrations --
Problem Set --
10. Stability of the Motion --
10.1. Some Preliminary Stability Ideas --
10.2. Deformation-Dependent Loadings --
10.3. Stability of Parametrically-Excited Systems --
10.4. Motions in the Large --
Problem Set.
Responsibility: James F. Doyle, Purdue University.

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