一、課程簡介:

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

9. Noise, signal detection, hearing and speech
9.1 Noise, spectrum level, and band level
9.2 Combining band levels and tones
9.3 Detecting signals in noise
9.4 The ear
9.5 Some fundamental properties of hearing
9.6 Loudness level and loudness
9.7 Pitch and frequency


二、先修課程:振動學、偏微分方程、複變函數

三、參考書目:L.E.Kinsler, A.R.Frey, A.B.Coppens, J.V.Sanders,
`Fundamentals of Acoustics`,
John Wiley & Sons, Inc., 2000