1. Fundamental of vibration
1.1 Introduction
1.2 The simple oscillator
1.3 Initial conditions
1.4 Energy of vibration
1.5 Complex exponential
method of solution
1.6 Damped oscillation
1.7 Forced oscillator
1.8 Transient response of
oscillator
1.9 Power relations
1.10 Mechanical resonance and
frequency

2. Vibration string
2.1 Vibrations of extended
systems
2.2 Transverse waves on a
string
2.3 One dimension wave
equation
2.4 General solution of the
wave equation
2.5 Wave nature of the
general solution
2.6 Reflection at a boundary
2.7 Forced vibration of a
infinite string
2.8 Forced vibration of a
finite string
2.9 Normal modes of finite
string

3. Two-dimensional wave
equation
3.1 Vibration of plane surface
3.2 Wave equation of
stretched membrane
3.3 Free vibration of
rectangular membrane
3.4 Free vibration of
circular membrane
3.5 Symmetric vibration of a
circular membrane
3.6 Damped, freely vibrating
membrane
3.7 The Kettledrum
3.8 Forced vibration of a
membrane
3.9 Diaphragm of a condenser
microphone
3.10 Vibration of a plate

4. Acoustic wave equation and
simple solution
4.1 Equation of state
4.2 Equation of continuity
4.3 Euler’s equation
4.4 Linear wave equation
4.5 Speed of sound in fluid
4.6 Energy density
4.7 Acoustic intensity
4.8 Specific acoustic
impedance
4.9 Spherical waves
4.10 Decibel scales
4.11 Rays and waves

5. Reflection and transmission
5.1 Changes in media
5.2 Transmission: normal
incidence
5.3 Transmission through a
fluid layer: normal incidence
5.4 Transmission: Oblique
incidence
5.5 Normal specific acoustic
impedance
5.6 Reflection from the
surface of a solid
5.7 Transmission through a
thin partition
5.8 Method of images

6. Radiation and reception of
acoustic waves
6.1 Radiation from a
pulsating sphere
6.2 Acoustic reciprocity and
the simple source
6.3 Continuous line source
6.4 Radiation from a plane
circular piston
6.5 Radiation impedance
6.6 Fundamental properties of
a transducers

7. Cavities and wave guides
7.1 Rectangular cavity
7.2 Cylindrical cavity
7.3 Spherical cavity
7.4 Wave guide of constant
cross section
7.5 Sources and Transients in
cavities and wave guides
7.6 The layer as a wave guide

8. Pipes, resonators and
filters
8.1 Resonance in pipes
8.2 Power radiation from open-
ended pipes
8.3 Standing wave Patterns
8.4 Absorption of sound in
pipes
8.5 Behavior of the combined
driver-pipe system
8.6 Helmholtz resonator
8.7 Reflection and
transmission of waves in a
pipes
8.8 Acoustic filters