Table of Contents
1.1. Oscillations and waves, period and frequency
1.2. Simple harmonic vibrations: differential equation and linearity
1.3. Complex representation and phasor representation
1.4. Point mass subject to a force–Kx
1.7. Dissipation of the energy of a damped oscillator
1.9. Small oscillations of a system with one degree of freedom
1.11. Systems with two degrees of freedom
1.12. Generalization to systems with n degrees of freedom
1.13. Normal variables for systems with n degrees of freedom*
1.15. Problem solving suggestions
Chapter 2. Superposition of Harmonic Oscillations, Fourier Analysis
2.1. Superposition of two scalar and isochronous simple harmonic oscillations
2.2. Superposition of two perpendicular and isochronous vector oscillations, polarization
2.3. Superposition of two perpendicular and non-isochronous oscillations
2.4. Superposition of scalar non-synchronous harmonic oscillations, beats
2.5. Fourier analysis of a periodic function
2.6. Fourier analysis of a non-periodic function
2.7. Fourier analysis of a signal, uncertainty relation
2.10. Problem solving suggestions
Chapter 3. Forced Oscillations
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