Vibrations and Acoustic Radiation of Thin Structures: Physical Basis, Theoretical Analysis and Numerical Methods

1 Equations Governing the Vibrations of Thin Structures.

1.1 Introduction.

1.2 Thin Plates.

1.3 Beams.

1.4 Circular Cylindrical Shells.

1.5 Spherical Shells.

1.6 Variational Form of the Equations Governing Harmonic Vibrations of Plates and Shells.

1.7 Exercises.

2 Vibratory Response of Thin Structures in vacuo: Resonance Modes, Forced Harmonic Regime, Transient Regime.

2.1 Introduction.

2.2 Vibrations of Constant Cross-Section Beams.

2.3 Vibrations of Plates.

2.4 Vibrations of Cylindrical Shells.

2.5 Vibrations of Spherical Shells.

2.6 Exercises.

3 Acoustic Radiation and Transmission by Thin Structures.

3.1 Introduction.

3.2 Sound Transmission Across a Piston in a One-Dimensional Waveguide.

3.3 A One-dimensional Example of a Cavity Closed by a Vibrating Boundary.

3.4 A Little Acoustics.

3.5 Infinite Structures.

3.6 Baffled Rectangular Plate.

3.7 General Method for the Harmonic Regime: Classical Variational Formulation and Green's Representation of the Plate Displacement.

3.8 Baffled Plate Closing a Cavity.

3.9 Cylindrical Finite Length Baffled Shell Excited by a Turbulent Internal Flow.

3.10 Radiation by a Finite Length Cylindrical Shell Excited by an Internal Acoustic Source.

3.11 Diffraction of a Transient Acoustic Wave by a Line 2' Shell

3.12 Exercises.

Bibliography.

Notations.

Index.