CHAPTER I - INTRODUCTORY
Sections
1. Definitions and Methods Units. Energy
2. A Little Mathematics
The Trigonometric Functions, Bessel Functions. The
Exponential. Conventions as to Sign. Other Solutions.
Contour Integrals. Infinite Integrals. Fourier Transforms
Problems
CHAPTER II - THE SIMPLE OSCILLATOR
3. Free Oscillations
The General Solution. Initial Conditions. Energy of
Vibration
4. Damped Oscillations
The General Solution. Energy Relations
5. Forced Oscillations
The General Solution. Transient and Steady State.
Impedance and Phase Angle. Energy Relations.
Electromechanical Driving Force. Motional Impedance.
Piezoelectric Crystals.
6. Response to Transient Forces
Representation by Contour Integrals. Transients in a
Simple System. Complex Frequencies. Calculating the
Transients. Examples of the Method. The Unit
Function. General Transient. Some Generalizations.
Laplace Transfoms.
7. Coupled Oscillations
The General Equation. Simple Harmonic Motion.
Normal Modes of Vibration. Energy Relations. The
Case of Small Coupling. The Case of Resonance.
Transfer of Energy. Forced Vibrations. Resonance and
Normal Modes. Transient Response.
Problems