Book:D.R. Bland/Vibrating Strings

Subject Matter

 * The Wave Equation in the specific context given

Contents

 * Preface


 * 1. Strings of Finite Length
 * 1.1. Introduction
 * 1.2. Derivation of the wave equation
 * 1.3. Solution by separation of variables
 * 1.4. Normal modes
 * 1.5. Examples
 * 1.6. Initial conditions and Fourier sine series
 * 1.7. Kinetic and potential energy
 * 1.8. Examples
 * 1.9. External force and air resistance


 * 2. Travelling Waves
 * 2.1. D'Alembert's solution of the wave equation
 * 2.2. Special cases
 * 2.3. Kinetic and potential energy of travelling waves
 * 2.4. Harmonic waves
 * 2.5. Reflection of waves at a discontinuity of the string
 * 2.6. The effect of air resistance on travelling waves


 * Answers to Exercises



Source work progress
* : Chapter $1$: Strings of Finite Length: $1.1$ Introduction