Introduction to vibrations and waves/ H. John Pain and Patricia Rankin

Contents;
Acknowledgement;
About the companion website;
Preface; Introduction;
Table of Constants;
Table of Energy Storing Processes;
Chapter 1 Simple Harmonic Motion; Notes to the students;
1.1 Displacement in Simple Harmonic Motion;
1.2 Velocity and Acceleration in Simple Harmonic Motion;
1.2.1 Non-linearity;
1.3 Energy of a Simple Harmonic Oscillator;
1.4 Simple Harmonic Oscillations in an Electrical System;
1.5 Superposition of Two Simple Harmonic Vibrations in One Dimension;
Chapter 2 Damped Simple Harmonic Motion; Introduction;
2.1 Complex Numbers.
Chapter 4 Coupled Oscillations
Introduction;
4.1 Stiffness (or Capacitance) Coupled Oscillators;
4.2 Normal Modes of Vibration, Normal Coordinates and Degrees of Freedom;
4.3 Mass or Inductance Coupling;
4.4 Coupled Oscillations of a Loaded String;
4.5 The Wave Equation;
Chapter 5 Transverse Wave Motion (1); Introduction;
5.1 Partial Differentiation;
5.2 Waves;
5.3 Velocities in Wave Motion;
5.4 The Wave Equation;
5.5 Solution of the Wave Equation;
5.6 Characteristic Impedance of a String (the String as a Forced Oscillator);
5.7 Reflection and Transmission of Waves on a String at a Boundary.
5.8 Reflection and Transmission of Energy
5.9 The Reflected and Transmitted Intensity Coefficients;
5.10 Matching of Impedances;
5.11 Standing Waves on a String of Fixed Length;
5.12 Standing Wave Ratio;
5.13 Energy in Each Normal Mode of a Vibrating String;
Chapter 6 Transverse Wave Motion (2); Introduction;
6.1 Wave Groups, Group Velocity and Dispersion;
6.1.1 Superposition of Two Waves of Almost Equal Frequencies;
6.1.2 Wave Groups, Group Velocity and Dispersion;
6.2 Wave Group of Many Components. The Bandwidth Theorem;
6.3 Heisenberg's Uncertainty Principle.