Wave Propagation in Structures

This book introduces spectral analysis as a means of investigating wave propagation and transient oscillations in structures. Intended as a texbook for graduate students of mechanical or aerospace engineering, the book will also be of interest to practicing engineers in these and related disciplines. This new edition makes use of recent developments in hardware and software, such as FFT algorithms, and includes new chapters on structural acoustics and on connected large plates.

Inhalt
1 Spectral Analysis of Wave Motion.- 1.1 Continuous Fourier Transforms.- 1.2 Discrete Fourier Transform.- 1.3 Examples Using the FFT Algorithm.- 1.4 Experimental Aspects of Wave Signals.- 1.5 Spectral Analysis of Wave Motion.- 1.6 Propagating and Reconstructing Waves.- Problems.- 2 Longitudinal Waves in Rods.- 2.1 Elementary Rod Theory.- 2.2 Basic Solution for Waves in Rods.- 2.3 Dissipation in Rods.- 2.4 Coupled Thermoelastic Waves.- 2.5 Reflections and Transmissions.- 2.6 Distributed Loading.- Problems.- 3 Flexural Waves in Beams.- 3.1 Bernoulli-Euler Beam Theory.- 3.2 Basic Solution for Waves in Beams.- 3.3 Bernoulli-Euler Beam with Constraints.- 3.4 Reflection of Flexural Waves.- 3.5 Curved Beams and Rings.- 3.6 Coupled Beam Structure.- Problems.- 4 Higher-Order Waveguides.- 4.1 Waves in Infinite Media.- 4.2 Semi-Infinite Media.- 4.3 Doubly Bounded Media.- 4.4 Doubly Bounded Media: Lamb Waves.- 4.5 Hamilton's Principle.- 4.6 Modified Beam Theories.- 4.7 Modified Rod Theories.- Problems.- 5 The Spectral Element Method.- 5.1 Structures as Connected Waveguides.- 5.2 Spectral Element for Rods.- 5.3 Spectral Element for Beams.- 5.4 General Frame Structures.- 5.5 Structural Applications.- 5.6 Waveguides with Varying Cross Section.- 5.7 Spectral Super-Elements.- 5.8 Impact Force Identification.- Problems.- 6 Waves in Thin Plates.- 6.1 Plate Theory.- 6.2 Point Impact of a Plate.- 6.3 Wavenumber Transform Solution.- 6.4 Waves Reflected from a Straight Edge.- 6.5 Scattering of Flexural Waves.- 6.6 Lateral Boundary Conditions.- 6.7 Curved Plates and Shells.- Problems.- 7 StructureFluid Interaction.- 7.1 Acoustic Wave Motion.- 7.2 PlateFluid Interaction.- 7.3 Double Panel Systems.- 7.4 Waveguide Modeling.- 7.5 Radiation from Finite Plates.- 7.6 Cylindrical Cavity.-Problems.- 8 Thin-Walled Structures.- 8.1 Membrane Spectral Elements.- 8.2 Spectral Elements for Flexure.- 8.3 Folded Plate Structures.- 8.4 Structural Applications.- 8.5 Segmented Cylindrical Shells.- 8.6 Future of Spectral Elements.- Problems.- Afterword.- Appendix: Bessel Functions.- References.