ABSTRACT
CONTENTS 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 4.2 Wave Equation: Stretched String Attached at Both Ends∗ . . . . . . . 100 4.3 Wave Equation: Vibrating Stretched String Solution∗ . . . . . . . . . . . 102 4.4 Wave Equation: Reflection From a Fixed End∗ . . . . . . . . . . . . . . . . . . 103 4.5 Wave Equation: String Vibration Fixed at Two Ends∗ . . . . . . . . . . . 104 4.6 Wave Equation: Vibrating Air Column . . . . . . . . . . . . . . . . . . . . . . . . . . 106 4.7 Wave Equation: Vibrating Column of Air (Open at One End)
Solution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 4.8 Room Acoustics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 4.9 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
4.1 Introduction This chapter introduces some of the fundamentals of acoustics. Firstly, the wave equation is derived for both a vibrating string and a vibrating column of air. The solution to the wave equation for a vibrating column of air is then used as a basic model of speech production. Further examples of the wave
topics such as reverberation.
