Introduction to vibrations and waves/
H. John Pain and Patricia Rankin
- Chichester: Wiley, 2015.
- xvi, 352 p. : ill. ; 26 cm.
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.