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Wave Propagation in Structures An FFT-Based Spectral Analysis Methodology

The study of wave propagation seems very remote to many engineers, even to those who are involved in structural dynamics. I think one of the reasons for this is that the examples usually taught in school were either so simple as to be inapplicable to real world problems, or so mathematically abstrus...

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Bibliographic Details
Main Author: Doyle, James F.
Format: eBook
Language:English
Published: New York, NY Springer New York 1989, 1989
Edition:1st ed. 1989
Subjects:
Classical Mechanics
Civil Engineering
Mechanics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Spectral Analysis and the FFT
  • 1.1 Continuous Fourier Transforms
  • 1.2 Properties of Fourier Transforms
  • 1.3 Fourier Series
  • 1.4 Discrete Fourier Transform
  • 1.5 Special Forms of the Discrete Transform
  • 1.6 Fast Fourier Transform Algorithm
  • 1.7 Examples Using the FFT Algorithm
  • 1.8 Sampled Waveforms
  • 2 Spectral Analysis of Wave Motion
  • 2.1 Spectral Analysis of Differential Equations
  • 2.2 Examples
  • 2.3 Propagating and Reconstructing Waves
  • 2.4 Wave Behavior of the Motion
  • 2.5 Experimental Aspects of Wave Propagation
  • 2.6 Signal Processing and Spectral Estimation
  • 3 Longitudinal Waves in Rods
  • 3.1 Elementary Rod Theory
  • 3.2 Basic Solution for Waves in Rods
  • 3.3 Reflection from Boundaries
  • 3.4 Reflections and Transmissions
  • 3.5 Coupled Thermoelastic Waves
  • 3.6 Generalized Rod
  • 3.7 Mindlin-Herrmann Rod Theory
  • 4 Flexural Waves in Beams
  • 4.1 Bernoulli-Euler Beam Theory
  • 4.2 Basic Solution for Waves in Beams
  • 4.3 Boundary Reflections of Flexural Waves
  • 4.4 Reflections and Transmissions
  • 4.5 Curved Beams
  • 4.6 Remote Sensing
  • 4.7 General Bernoulli-Euler Beam
  • 4.8 Timoshenko Beam Theory
  • 5 Wave Propagation in Structures
  • 5.1 Truss and Frame Analysis
  • 5.2 Structural Stiffness Matrix
  • 5.3 Matrix Formulation of Inertia Effects
  • 5.4 Spectral Element for Rods
  • 5.5 Spectral Element for Beams
  • 5.6 Structural Formulation
  • 5.7 Structural Applications
  • 6 Waves in Two Dimensions
  • 6.1 Waves in Infinite Media
  • 6.2 Semi-infinite Media
  • 6.3 Doubly Bounded Media
  • 6.4 Flexural Behavior of Plates
  • 6.5 Reflections from Boundaries
  • 6.6 Point Impact of a Plate
  • 6.7 Double Series Solution for Arbitrary Waves
  • 6.8 Anisotropic Plates
  • Afterword
  • A Contact Force
  • B Bessel Functions
  • C Examples Parameters
  • D Source Code Listings
  • References

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